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8. EQUIVALENCE OF LCP AND PLS.

Author

Eaves, B. C. and Lemke, C. E.

Subjects
MATHEMATICAL models, FIXED point theory, LINEAR systems
Abstract

Presents prototype models of complementary pivot and fixed point theory. Information on the conversion of a linear complementary problem to a piecewise linear system; Theorems and proofs; Details on the piecewise linear maps and conjugates.

Published
1981
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10. Equivalence of LCP and PLS.

Author

STANFORD UNIV CA DEPT OF OPERATIONS RESEARCH, Eaves,B C, Lemke,C E, STANFORD UNIV CA DEPT OF OPERATIONS RESEARCH, Eaves,B C, and Lemke,C E

Abstract

The linear complementarity problem and the piecewise linear system are the two principal models in complementary pivot and fixed point theory. It is shown that the path following methods for solving each are conceptually equivalent. (Author), Sponsored in part by Grant NSF-MCS78-02096.

Published
1979

11. An Algorithm for a Piecewise Linear Model of Trade and Production with Negative Prices and Bankruptcy.

Author

STANFORD UNIV CALIF DEPT OF OPERATIONS RESEARCH, Dantzig,G B, Eaves ,B C, Gale,D, STANFORD UNIV CALIF DEPT OF OPERATIONS RESEARCH, Dantzig,G B, Eaves ,B C, and Gale,D

Abstract

An algorithm for a piecewise linear model of trade and production with negative prices and bankruptcy is described. The algorithm uses complementary pivoting to adjust the utility weights as in welfare economics and generates an approximate equilibrium or demonstrates that the traders are not resource related. (Author)

Published
1976

12. On the Need for a System Optimization Laboratory

Author

STANFORD UNIV CA OPERATIONS RESEARCH HOUSE, Dantzig, George B, Cottle, R, Eaves, B C, Golub, G H, Hillier, F S, STANFORD UNIV CA OPERATIONS RESEARCH HOUSE, Dantzig, George B, Cottle, R, Eaves, B C, Golub, G H, and Hillier, F S

Abstract

Society could benefit greatly if certain total systems can be modeled and successfully solved. For example, crude economic planning models of many developing countries indicate a potential growth rate of GNP of 10% to 15% per year. To implement such a growth requires carefully worked-out detailed models and the availability of computer programs that can solve the resulting large- scale systems. The world is also faced with difficult problems related to population growth, availability of natural resources, ecological evaluation and control, urban redesign, design of large-scale engineering systems (e.g., atomic energy and recycling systems) and the modeling of man's physiological system for diagnosis and treatment. These problems are complex, are urgent and can only be solved if viewed as total systems. The paper will review progress to date, the various techniques that have been proposed, and the need to set-up large-scale system optimization laboratories where the different techniques can be tested on representative problems., Sponsored in part by National Science Foundation, Grant NSF-GP-31393.

Published
1972

14. An implicit enumeration procedure for the general linear complementarity problem

Author

Al-Khayyal, Faiz A., Balinski, M. L., editor, Cottle, R. W., editor, Todd, M. J., editor, Dennis, J. E., Jr., editor, Korte, B., editor, Rinnooy Kan, A. H. G., editor, Allgower, E. L., editor, Birge, J. R., editor, Bixby, R. E., editor, Conn, A., editor, Cunningham, W. H., editor, Dixon, L. C. W., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Grötschel, M., editor, Iri, M., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Megiddo, N., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Robinson, S. M., editor, Shanno, D. F., editor, Toint, Ph., editor, Trotter, L. E., Jr., editor, Wolsey, L., editor, Wright, M. H., editor, Dantzig, G. B., editor, Tucker, A. W., editor, Wolfe, P., editor, Hoffman, K. L., editor, Jackson, R. H. F., editor, and Telgen, J., editor

Published
1987
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15. An experimental approach to karmarkar’s projective method for linear programming

Author

Tomlin, J. A., Balinski, M. L., editor, Cottle, R. W., editor, Todd, M. J., editor, Dennis, J. E., Jr., editor, Korte, B., editor, Rinnooy Kan, A. H. G., editor, Allgower, E. L., editor, Birge, J. R., editor, Bixby, R. E., editor, Conn, A., editor, Cunningham, W. H., editor, Dixon, L. C. W., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Grötschel, M., editor, Iri, M., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Megiddo, N., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Robinson, S. M., editor, Shanno, D. F., editor, Toint, Ph., editor, Trotter, L. E., Jr., editor, Wolsey, L., editor, Wright, M. H., editor, Dantzig, G. B., editor, Tucker, A. W., editor, Wolfe, P., editor, Hoffman, K. L., editor, Jackson, R. H. F., editor, and Telgen, J., editor

Published
1987
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16. A reduced subgradient algorithm

Author

Bihain, A., Nguyen, V. Hien, Strodiot, J.-J., Balinski, M. L., editor, Cottle, R. W., editor, Todd, M. J., editor, Dennis, J. E., Jr., editor, Korte, B., editor, Rinnooy Kan, A. H. G., editor, Allgower, E. L., editor, Birge, J. R., editor, Bixby, R. E., editor, Conn, A., editor, Cunningham, W. H., editor, Dixon, L. C. W., editor, Eaves, B. C., editor, Fletcher, R., editor, Grötschel, M., editor, Iri, M., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Megiddo, N., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Robinson, S. M., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Wolsey, L., editor, Wright, M. H., editor, Dantzig, G. B., editor, Tucker, A. W., editor, Wolfe, P., editor, Cornet, B., editor, Nguyen, V. H., editor, and Vial, J. P., editor

Published
1987
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17. Recent advances in the decomposition approach to linear programming

Author

Ho, James K., Balinski, M. L., editor, Cottle, R. W., editor, Todd, M. J., editor, Dennis, J. E., Jr., editor, Korte, B., editor, Rinnooy Kan, A. H. G., editor, Allgower, E. L., editor, Birge, J. R., editor, Bixby, R. E., editor, Conn, A., editor, Cunningham, W. H., editor, Dixon, L. C. W., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Grötschel, M., editor, Iri, M., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Megiddo, N., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Robinson, S. M., editor, Shanno, D. F., editor, Toint, Ph., editor, Trotter, L. E., Jr., editor, Wolsey, L., editor, Wright, M. H., editor, Dantzig, G. B., editor, Tucker, A. W., editor, Wolfe, P., editor, Hoffman, K. L., editor, Jackson, R. H. F., editor, and Telgen, J., editor

Published
1987
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18. A new algorithm for highly curved constrained optimisation

Author

Maany, Z. A., Balinski, M. L., editor, Cottle, R. W., editor, Todd, M. J., editor, Dennis, J. E., Jr., editor, Korte, B., editor, Rinnooy Kan, A. H. G., editor, Allgower, E. L., editor, Birge, J. R., editor, Bixby, R. E., editor, Conn, A., editor, Cunningham, W. H., editor, Dixon, L. C. W., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Grötschel, M., editor, Iri, M., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Megiddo, N., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Robinson, S. M., editor, Shanno, D. F., editor, Toint, Ph., editor, Trotter, L. E., Jr., editor, Wolsey, L., editor, Wright, M. H., editor, Dantzig, G. B., editor, Tucker, A. W., editor, Wolfe, P., editor, Hoffman, K. L., editor, Jackson, R. H. F., editor, and Telgen, J., editor

Published
1987
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19. A note on solution of nonlinear programming problems with imprecise function and gradient values

Author

Kupferschmid, Michael, Ecker, J. G., Balinski, M. L., editor, Cottle, R. W., editor, Todd, M. J., editor, Dennis, J. E., Jr., editor, Korte, B., editor, Rinnooy Kan, A. H. G., editor, Allgower, E. L., editor, Birge, J. R., editor, Bixby, R. E., editor, Conn, A., editor, Cunningham, W. H., editor, Dixon, L. C. W., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Grötschel, M., editor, Iri, M., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Megiddo, N., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Robinson, S. M., editor, Shanno, D. F., editor, Toint, Ph., editor, Trotter, L. E., Jr., editor, Wolsey, L., editor, Wright, M. H., editor, Dantzig, G. B., editor, Tucker, A. W., editor, Wolfe, P., editor, Hoffman, K. L., editor, Jackson, R. H. F., editor, and Telgen, J., editor

Published
1987
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20. Restricted simplicial decomposition: Computation and extensions

Author

Hearn, D. W., Lawphongpanich, S., Ventura, J.A., Balinski, M. L., editor, Cottle, R. W., editor, Todd, M. J., editor, Dennis, J. E., Jr., editor, Korte, B., editor, Rinnooy Kan, A. H. G., editor, Allgower, E. L., editor, Birge, J. R., editor, Bixby, R. E., editor, Conn, A., editor, Cunningham, W. H., editor, Dixon, L. C. W., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Grötschel, M., editor, Iri, M., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Megiddo, N., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Robinson, S. M., editor, Shanno, D. F., editor, Toint, Ph., editor, Trotter, L. E., Jr., editor, Wolsey, L., editor, Wright, M. H., editor, Dantzig, G. B., editor, Tucker, A. W., editor, Wolfe, P., editor, Hoffman, K. L., editor, Jackson, R. H. F., editor, and Telgen, J., editor

Published
1987
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21. Approximating some convex programs in terms of borel fields

Author

Flåm, Sjur D., Balinski, M. L., editor, Cottle, R. W., editor, Todd, M. J., editor, Dennis, J. E., Jr., editor, Korte, B., editor, Rinnooy Kan, A. H. G., editor, Allgower, E. L., editor, Birge, J. R., editor, Bixby, R. E., editor, Conn, A., editor, Cunningham, W. H., editor, Dixon, L. C. W., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Grötschel, M., editor, Iri, M., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Megiddo, N., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Robinson, S. M., editor, Shanno, D. F., editor, Toint, Ph., editor, Trotter, L. E., Jr., editor, Wolsey, L., editor, Wright, M. H., editor, Dantzig, G. B., editor, Tucker, A. W., editor, Wolfe, P., editor, Hoffman, K. L., editor, Jackson, R. H. F., editor, and Telgen, J., editor

Published
1987
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22. Computer-assisted analysis for diagnosing infeasible or unbounded linear programs

Author

Greenberg, Harvey J., Balinski, M. L., editor, Cottle, R. W., editor, Todd, M. J., editor, Dennis, J. E., Jr., editor, Korte, B., editor, Rinnooy Kan, A. H. G., editor, Allgower, E. L., editor, Birge, J. R., editor, Bixby, R. E., editor, Conn, A., editor, Cunningham, W. H., editor, Dixon, L. C. W., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Grötschel, M., editor, Iri, M., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Megiddo, N., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Robinson, S. M., editor, Shanno, D. F., editor, Toint, Ph., editor, Trotter, L. E., Jr., editor, Wolsey, L., editor, Wright, M. H., editor, Dantzig, G. B., editor, Tucker, A. W., editor, Wolfe, P., editor, Hoffman, K. L., editor, Jackson, R. H. F., editor, and Telgen, J., editor

Published
1987
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23. A primal truncated newton algorithm with application to large-scale nonlinear network optimization

Author

Dembo, Ron. S., Balinski, M. L., editor, Cottle, R. W., editor, Todd, M. J., editor, Dennis, J. E., Jr., editor, Korte, B., editor, Rinnooy Kan, A. H. G., editor, Allgower, E. L., editor, Birge, J. R., editor, Bixby, R. E., editor, Conn, A., editor, Cunningham, W. H., editor, Dixon, L. C. W., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Grötschel, M., editor, Iri, M., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Megiddo, N., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Robinson, S. M., editor, Shanno, D. F., editor, Toint, Ph., editor, Trotter, L. E., Jr., editor, Wolsey, L., editor, Wright, M. H., editor, Dantzig, G. B., editor, Tucker, A. W., editor, Wolfe, P., editor, Hoffman, K. L., editor, Jackson, R. H. F., editor, and Telgen, J., editor

Published
1987
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24. Recursive quadratic programming methods based on the augmented lagrangian

Author

Bartholomew-Biggs, M. C., Balinski, M. L., editor, Cottle, R. W., editor, Todd, M. J., editor, Dennis, J. E., Jr., editor, Korte, B., editor, Rinnooy Kan, A. H. G., editor, Allgower, E. L., editor, Birge, J. R., editor, Bixby, R. E., editor, Conn, A., editor, Cunningham, W. H., editor, Dixon, L. C. W., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Grötschel, M., editor, Iri, M., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Megiddo, N., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Robinson, S. M., editor, Shanno, D. F., editor, Toint, Ph., editor, Trotter, L. E., Jr., editor, Wolsey, L., editor, Wright, M. H., editor, Dantzig, G. B., editor, Tucker, A. W., editor, Wolfe, P., editor, Hoffman, K. L., editor, Jackson, R. H. F., editor, and Telgen, J., editor

Published
1987
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25. On practical stopping rules for the simplex method

Author

Ogryczak, Włodzimierz, Balinski, M. L., editor, Cottle, R. W., editor, Todd, M. J., editor, Dennis, J. E., Jr., editor, Korte, B., editor, Rinnooy Kan, A. H. G., editor, Allgower, E. L., editor, Birge, J. R., editor, Bixby, R. E., editor, Conn, A., editor, Cunningham, W. H., editor, Dixon, L. C. W., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Grötschel, M., editor, Iri, M., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Megiddo, N., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Robinson, S. M., editor, Shanno, D. F., editor, Toint, Ph., editor, Trotter, L. E., Jr., editor, Wolsey, L., editor, Wright, M. H., editor, Dantzig, G. B., editor, Tucker, A. W., editor, Wolfe, P., editor, Hoffman, K. L., editor, Jackson, R. H. F., editor, and Telgen, J., editor

Published
1987
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26. An implementation of an algorithm for univariate minimization and an application to nested optimization

Author

Mifflin, Robert, Balinski, M. L., editor, Cottle, R. W., editor, Todd, M. J., editor, Dennis, J. E., Jr., editor, Korte, B., editor, Rinnooy Kan, A. H. G., editor, Allgower, E. L., editor, Birge, J. R., editor, Bixby, R. E., editor, Conn, A., editor, Cunningham, W. H., editor, Dixon, L. C. W., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Grötschel, M., editor, Iri, M., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Megiddo, N., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Robinson, S. M., editor, Shanno, D. F., editor, Toint, Ph., editor, Trotter, L. E., Jr., editor, Wolsey, L., editor, Wright, M. H., editor, Dantzig, G. B., editor, Tucker, A. W., editor, Wolfe, P., editor, Hoffman, K. L., editor, Jackson, R. H. F., editor, and Telgen, J., editor

Published
1987
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27. Global minimization of a difference of two convex functions

Author

Tuy, Hoang, Balinski, M. L., editor, Cottle, R. W., editor, Todd, M. J., editor, Dennis, J. E., Jr., editor, Korte, B., editor, Rinnooy Kan, A. H. G., editor, Allgower, E. L., editor, Birge, J. R., editor, Bixby, R. E., editor, Conn, A., editor, Cunningham, W. H., editor, Dixon, L. C. W., editor, Eaves, B. C., editor, Fletcher, R., editor, Grötschel, M., editor, Iri, M., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Megiddo, N., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Robinson, S. M., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Wolsey, L., editor, Wright, M. H., editor, Dantzig, G. B., editor, Tucker, A. W., editor, Wolfe, P., editor, Cornet, B., editor, Nguyen, V. H., editor, and Vial, J. P., editor

Published
1987
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28. Numerical methods for nondifferentiable convex optimization

Author

Auslender, Alfred, Balinski, M. L., editor, Cottle, R. W., editor, Todd, M. J., editor, Dennis, J. E., Jr., editor, Korte, B., editor, Rinnooy Kan, A. H. G., editor, Allgower, E. L., editor, Birge, J. R., editor, Bixby, R. E., editor, Conn, A., editor, Cunningham, W. H., editor, Dixon, L. C. W., editor, Eaves, B. C., editor, Fletcher, R., editor, Grötschel, M., editor, Iri, M., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Megiddo, N., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Robinson, S. M., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Wolsey, L., editor, Wright, M. H., editor, Dantzig, G. B., editor, Tucker, A. W., editor, Wolfe, P., editor, Cornet, B., editor, Nguyen, V. H., editor, and Vial, J. P., editor

Published
1987
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29. The role of tangent and normal cones in the viability theory of differential inclusions

Author

Haddad, Georges, Balinski, M. L., editor, Cottle, R. W., editor, Todd, M. J., editor, Dennis, J. E., Jr., editor, Korte, B., editor, Rinnooy Kan, A. H. G., editor, Allgower, E. L., editor, Birge, J. R., editor, Bixby, R. E., editor, Conn, A., editor, Cunningham, W. H., editor, Dixon, L. C. W., editor, Eaves, B. C., editor, Fletcher, R., editor, Grötschel, M., editor, Iri, M., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Megiddo, N., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Robinson, S. M., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Wolsey, L., editor, Wright, M. H., editor, Dantzig, G. B., editor, Tucker, A. W., editor, Wolfe, P., editor, Cornet, B., editor, Nguyen, V. H., editor, and Vial, J. P., editor

Published
1987
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30. Eigenvalue perturbations and nonlinear parametric optimization

Author

Gollan, Bernhard, Balinski, M. L., editor, Cottle, R. W., editor, Todd, M. J., editor, Dennis, J. E., Jr., editor, Korte, B., editor, Rinnooy Kan, A. H. G., editor, Allgower, E. L., editor, Birge, J. R., editor, Bixby, R. E., editor, Conn, A., editor, Cunningham, W. H., editor, Dixon, L. C. W., editor, Eaves, B. C., editor, Fletcher, R., editor, Grötschel, M., editor, Iri, M., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Megiddo, N., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Robinson, S. M., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Wolsey, L., editor, Wright, M. H., editor, Dantzig, G. B., editor, Tucker, A. W., editor, Wolfe, P., editor, Cornet, B., editor, Nguyen, V. H., editor, and Vial, J. P., editor

Published
1987
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31. Regularity properties of open tangent cones

Author

Cornet, Bernard, Balinski, M. L., editor, Cottle, R. W., editor, Todd, M. J., editor, Dennis, J. E., Jr., editor, Korte, B., editor, Rinnooy Kan, A. H. G., editor, Allgower, E. L., editor, Birge, J. R., editor, Bixby, R. E., editor, Conn, A., editor, Cunningham, W. H., editor, Dixon, L. C. W., editor, Eaves, B. C., editor, Fletcher, R., editor, Grötschel, M., editor, Iri, M., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Megiddo, N., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Robinson, S. M., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Wolsey, L., editor, Wright, M. H., editor, Dantzig, G. B., editor, Tucker, A. W., editor, Wolfe, P., editor, Cornet, B., editor, Nguyen, V. H., editor, and Vial, J. P., editor

Published
1987
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32. Local structure of feasible sets in nonlinear programming, Part III: Stability and sensitivity

Author

Robinson, Stephen M., Balinski, M. L., editor, Cottle, R. W., editor, Todd, M. J., editor, Dennis, J. E., Jr., editor, Korte, B., editor, Rinnooy Kan, A. H. G., editor, Allgower, E. L., editor, Birge, J. R., editor, Bixby, R. E., editor, Conn, A., editor, Cunningham, W. H., editor, Dixon, L. C. W., editor, Eaves, B. C., editor, Fletcher, R., editor, Grötschel, M., editor, Iri, M., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Megiddo, N., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Robinson, S. M., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Wolsey, L., editor, Wright, M. H., editor, Dantzig, G. B., editor, Tucker, A. W., editor, Wolfe, P., editor, Cornet, B., editor, Nguyen, V. H., editor, and Vial, J. P., editor

Published
1987
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33. Curvilinear path and trust region in unconstrained optimization: A convergence analysis

Author

Bulteau, J. P., Vial, J. P., Balinski, M. L., editor, Cottle, R. W., editor, Todd, M. J., editor, Dennis, J. E., Jr., editor, Korte, B., editor, Rinnooy Kan, A. H. G., editor, Allgower, E. L., editor, Birge, J. R., editor, Bixby, R. E., editor, Conn, A., editor, Cunningham, W. H., editor, Dixon, L. C. W., editor, Eaves, B. C., editor, Fletcher, R., editor, Grötschel, M., editor, Iri, M., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Megiddo, N., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Robinson, S. M., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Wolsey, L., editor, Wright, M. H., editor, Dantzig, G. B., editor, Tucker, A. W., editor, Wolfe, P., editor, Cornet, B., editor, Nguyen, V. H., editor, and Vial, J. P., editor

Published
1987
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34. Directional differentiability of a continual maximum function of quasidifferentiable functions

Author

Demyanov, V. F., Zabrodin, I. S., Balinski, M. L., editor, Cottle, R. W., editor, Dixon, L. C. W., editor, Korte, B., editor, Todd, M. J., editor, Allgower, E. L., editor, Cunningham, W. H., editor, Dennis, J. E., Jr., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Hiriart-Urruty, J.- B., editor, Iri, M., editor, Jeroslow, R. G., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Rinnooy Kan, A. H. G., editor, Ritter, K., editor, Sargent, R. W. H., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Tuy, H., editor, Wets, R. J. B., editor, Beale, E. M. L., editor, Dantzig, G. B., editor, Kantorovich, L. V., editor, Koopmans, T. C., editor, Tucker, A. W., editor, Wolfe, P., editor, and Demyanov, V. F., editor

Published
1986
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35. An algorithm for minimizing a certain class of quasidifferentiable functions

Author

Demyanov, V. F., Gamidov, S., Sivelina, T. I., Balinski, M. L., editor, Cottle, R. W., editor, Dixon, L. C. W., editor, Korte, B., editor, Todd, M. J., editor, Allgower, E. L., editor, Cunningham, W. H., editor, Dennis, J. E., Jr., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Hiriart-Urruty, J.- B., editor, Iri, M., editor, Jeroslow, R. G., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Rinnooy Kan, A. H. G., editor, Ritter, K., editor, Sargent, R. W. H., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Tuy, H., editor, Wets, R. J. B., editor, Beale, E. M. L., editor, Dantzig, G. B., editor, Kantorovich, L. V., editor, Koopmans, T. C., editor, Tucker, A. W., editor, Wolfe, P., editor, and Demyanov, V. F., editor

Published
1986
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36. Continuity and differentiability properties of monotone real functions of several real variables

Author

Chabrillac, Yves, Crouzeix, J.-P., Balinski, M. L., editor, Cottle, R. W., editor, Todd, M. J., editor, Dennis, J. E., Jr., editor, Korte, B., editor, Rinnooy Kan, A. H. G., editor, Allgower, E. L., editor, Birge, J. R., editor, Bixby, R. E., editor, Conn, A., editor, Cunningham, W. H., editor, Dixon, L. C. W., editor, Eaves, B. C., editor, Fletcher, R., editor, Grötschel, M., editor, Iri, M., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Megiddo, N., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Robinson, S. M., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Wolsey, L., editor, Wright, M. H., editor, Dantzig, G. B., editor, Tucker, A. W., editor, Wolfe, P., editor, Cornet, B., editor, Nguyen, V. H., editor, and Vial, J. P., editor

Published
1987
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37. A linearization method for minimizing certain quasidifferentiable functions

Author

Kiwiel, Krzysztof C., Balinski, M. L., editor, Cottle, R. W., editor, Dixon, L. C. W., editor, Korte, B., editor, Todd, M. J., editor, Allgower, E. L., editor, Cunningham, W. H., editor, Dennis, J. E., Jr., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Hiriart-Urruty, J.- B., editor, Iri, M., editor, Jeroslow, R. G., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Rinnooy Kan, A. H. G., editor, Ritter, K., editor, Sargent, R. W. H., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Tuy, H., editor, Wets, R. J. B., editor, Beale, E. M. L., editor, Dantzig, G. B., editor, Kantorovich, L. V., editor, Koopmans, T. C., editor, Tucker, A. W., editor, Wolfe, P., editor, and Demyanov, V. F., editor

Published
1986
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38. On the minimization of a quasidifferentiable function subject to equality-type quasidifferentiable constraints

Author

Polyakova, L. N., Balinski, M. L., editor, Cottle, R. W., editor, Dixon, L. C. W., editor, Korte, B., editor, Todd, M. J., editor, Allgower, E. L., editor, Cunningham, W. H., editor, Dennis, J. E., Jr., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Hiriart-Urruty, J.- B., editor, Iri, M., editor, Jeroslow, R. G., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Rinnooy Kan, A. H. G., editor, Ritter, K., editor, Sargent, R. W. H., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Tuy, H., editor, Wets, R. J. B., editor, Beale, E. M. L., editor, Dantzig, G. B., editor, Kantorovich, L. V., editor, Koopmans, T. C., editor, Tucker, A. W., editor, Wolfe, P., editor, and Demyanov, V. F., editor

Published
1986
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39. A directional implicit function theorem for quasidifferentiable functions

Author

Demidova, V. A., Demyanov, V. F., Balinski, M. L., editor, Cottle, R. W., editor, Dixon, L. C. W., editor, Korte, B., editor, Todd, M. J., editor, Allgower, E. L., editor, Cunningham, W. H., editor, Dennis, J. E., Jr., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Hiriart-Urruty, J.- B., editor, Iri, M., editor, Jeroslow, R. G., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Rinnooy Kan, A. H. G., editor, Ritter, K., editor, Sargent, R. W. H., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Tuy, H., editor, Wets, R. J. B., editor, Beale, E. M. L., editor, Dantzig, G. B., editor, Kantorovich, L. V., editor, Koopmans, T. C., editor, Tucker, A. W., editor, Wolfe, P., editor, and Demyanov, V. F., editor

Published
1986
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40. Nonsmoothness and quasidifferentiability

Author

Demyanov, V. F., Polyakova, L. N., Rubinov, A. M., Balinski, M. L., editor, Cottle, R. W., editor, Dixon, L. C. W., editor, Korte, B., editor, Todd, M. J., editor, Allgower, E. L., editor, Cunningham, W. H., editor, Dennis, J. E., Jr., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Hiriart-Urruty, J.- B., editor, Iri, M., editor, Jeroslow, R. G., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Rinnooy Kan, A. H. G., editor, Ritter, K., editor, Sargent, R. W. H., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Tuy, H., editor, Wets, R. J. B., editor, Beale, E. M. L., editor, Dantzig, G. B., editor, Kantorovich, L. V., editor, Koopmans, T. C., editor, Tucker, A. W., editor, Wolfe, P., editor, and Demyanov, V. F., editor

Published
1986
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41. Quasidifferential calculus and first-order optimality conditions in nonsmooth optimization

Author

Shapiro, Alexander, Balinski, M. L., editor, Cottle, R. W., editor, Dixon, L. C. W., editor, Korte, B., editor, Todd, M. J., editor, Allgower, E. L., editor, Cunningham, W. H., editor, Dennis, J. E., Jr., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Hiriart-Urruty, J.- B., editor, Iri, M., editor, Jeroslow, R. G., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Rinnooy Kan, A. H. G., editor, Ritter, K., editor, Sargent, R. W. H., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Tuy, H., editor, Wets, R. J. B., editor, Beale, E. M. L., editor, Dantzig, G. B., editor, Kantorovich, L. V., editor, Koopmans, T. C., editor, Tucker, A. W., editor, Wolfe, P., editor, and Demyanov, V. F., editor

Published
1986
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42. ε-Quasidifferentiability of real-valued functions and optimality conditions in extremal problems

Author

Gorokhovik, V. V., Balinski, M. L., editor, Cottle, R. W., editor, Dixon, L. C. W., editor, Korte, B., editor, Todd, M. J., editor, Allgower, E. L., editor, Cunningham, W. H., editor, Dennis, J. E., Jr., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Hiriart-Urruty, J.- B., editor, Iri, M., editor, Jeroslow, R. G., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Rinnooy Kan, A. H. G., editor, Ritter, K., editor, Sargent, R. W. H., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Tuy, H., editor, Wets, R. J. B., editor, Beale, E. M. L., editor, Dantzig, G. B., editor, Kantorovich, L. V., editor, Koopmans, T. C., editor, Tucker, A. W., editor, Wolfe, P., editor, and Demyanov, V. F., editor

Published
1986
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43. Quasidifferentiable functions: Necessary conditions and descent directions

Author

Demyanov, V. F., Balinski, M. L., editor, Cottle, R. W., editor, Dixon, L. C. W., editor, Korte, B., editor, Todd, M. J., editor, Allgower, E. L., editor, Cunningham, W. H., editor, Dennis, J. E., Jr., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Hiriart-Urruty, J.- B., editor, Iri, M., editor, Jeroslow, R. G., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Rinnooy Kan, A. H. G., editor, Ritter, K., editor, Sargent, R. W. H., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Tuy, H., editor, Wets, R. J. B., editor, Beale, E. M. L., editor, Dantzig, G. B., editor, Kantorovich, L. V., editor, Koopmans, T. C., editor, Tucker, A. W., editor, Wolfe, P., editor, and Demyanov, V. F., editor

Published
1986
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44. On minimizing the sum of a convex function and a concave function

Author

Polyakova, L. N., Balinski, M. L., editor, Cottle, R. W., editor, Dixon, L. C. W., editor, Korte, B., editor, Todd, M. J., editor, Allgower, E. L., editor, Cunningham, W. H., editor, Dennis, J. E., Jr., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Hiriart-Urruty, J.- B., editor, Iri, M., editor, Jeroslow, R. G., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Rinnooy Kan, A. H. G., editor, Ritter, K., editor, Sargent, R. W. H., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Tuy, H., editor, Wets, R. J. B., editor, Beale, E. M. L., editor, Dantzig, G. B., editor, Kantorovich, L. V., editor, Koopmans, T. C., editor, Tucker, A. W., editor, Wolfe, P., editor, and Demyanov, V. F., editor

Published
1986
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45. Quasidifferentiable functions in Optimal Control

Author

Demyanov, V. F., Nikulina, V. N., Shablinskaya, I. R., Balinski, M. L., editor, Cottle, R. W., editor, Dixon, L. C. W., editor, Korte, B., editor, Todd, M. J., editor, Allgower, E. L., editor, Cunningham, W. H., editor, Dennis, J. E., Jr., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Hiriart-Urruty, J.- B., editor, Iri, M., editor, Jeroslow, R. G., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Rinnooy Kan, A. H. G., editor, Ritter, K., editor, Sargent, R. W. H., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Tuy, H., editor, Wets, R. J. B., editor, Beale, E. M. L., editor, Dantzig, G. B., editor, Kantorovich, L. V., editor, Koopmans, T. C., editor, Tucker, A. W., editor, Wolfe, P., editor, and Demyanov, V. F., editor

Published
1986
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46. On the expressibility of piecewise-linear continuous functions as the difference of two piecewise-linear convex functions

Author

Melzer, D., Balinski, M. L., editor, Cottle, R. W., editor, Dixon, L. C. W., editor, Korte, B., editor, Todd, M. J., editor, Allgower, E. L., editor, Cunningham, W. H., editor, Dennis, J. E., Jr., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Hiriart-Urruty, J.- B., editor, Iri, M., editor, Jeroslow, R. G., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Rinnooy Kan, A. H. G., editor, Ritter, K., editor, Sargent, R. W. H., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Tuy, H., editor, Wets, R. J. B., editor, Beale, E. M. L., editor, Dantzig, G. B., editor, Kantorovich, L. V., editor, Koopmans, T. C., editor, Tucker, A. W., editor, Wolfe, P., editor, and Demyanov, V. F., editor

Published
1986
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47. The space of star-shaped sets and its applications in nonsmooth optimization

Author

Rubinov, A. M., Yagubov, A. A., Balinski, M. L., editor, Cottle, R. W., editor, Dixon, L. C. W., editor, Korte, B., editor, Todd, M. J., editor, Allgower, E. L., editor, Cunningham, W. H., editor, Dennis, J. E., Jr., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Hiriart-Urruty, J.- B., editor, Iri, M., editor, Jeroslow, R. G., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Rinnooy Kan, A. H. G., editor, Ritter, K., editor, Sargent, R. W. H., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Tuy, H., editor, Wets, R. J. B., editor, Beale, E. M. L., editor, Dantzig, G. B., editor, Kantorovich, L. V., editor, Koopmans, T. C., editor, Tucker, A. W., editor, Wolfe, P., editor, and Demyanov, V. F., editor

Published
1986
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48. Algorithms for stochastic programs: The case of nonstochastic tenders

Author

Nazareth, J. L., Wets, R. J.-B., Balanski, M. L., editor, Cottle, R. W., editor, Dixon, L. C. W., editor, Korte, B., editor, Todd, M. J., editor, Allgower, E. L., editor, Cunningham, W. H., editor, Dennis, J. E., Jr., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Hiriart-Urruty, J.- B., editor, Iri, M., editor, Jeroslow, R. G., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Rinnooy Kan, A. H. G., editor, Ritter, K., editor, Sargent, R. W. H., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Tuy, H., editor, Wets, R. J. B., editor, Beale, E. M. L., editor, Dantzig, G. B., editor, Kantorovich, L. V., editor, Koopmans, T. C., editor, Tucker, A. W., editor, Wolfe, P., editor, Prékopa, Andras, editor, and Wets, Roger J.- B., editor

Published
1986
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49. Positively homogeneous quasidifferentiable functions and their applications in cooperative game theory

Author

Pechersky, S. L., Balinski, M. L., editor, Cottle, R. W., editor, Dixon, L. C. W., editor, Korte, B., editor, Todd, M. J., editor, Allgower, E. L., editor, Cunningham, W. H., editor, Dennis, J. E., Jr., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Hiriart-Urruty, J.- B., editor, Iri, M., editor, Jeroslow, R. G., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Rinnooy Kan, A. H. G., editor, Ritter, K., editor, Sargent, R. W. H., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Tuy, H., editor, Wets, R. J. B., editor, Beale, E. M. L., editor, Dantzig, G. B., editor, Kantorovich, L. V., editor, Koopmans, T. C., editor, Tucker, A. W., editor, Wolfe, P., editor, and Demyanov, V. F., editor

Published
1986
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50. Quasidifferentiable mappings and the differentiability of maximum functions

Author

Pecherskaya, N. A., Balinski, M. L., editor, Cottle, R. W., editor, Dixon, L. C. W., editor, Korte, B., editor, Todd, M. J., editor, Allgower, E. L., editor, Cunningham, W. H., editor, Dennis, J. E., Jr., editor, Eaves, B. C., editor, Fletcher, R., editor, Goldfarb, D., editor, Hiriart-Urruty, J.- B., editor, Iri, M., editor, Jeroslow, R. G., editor, Johnson, D. S., editor, Lemarechal, C., editor, Lovasz, L., editor, McLinden, L., editor, Powell, M. J. D., editor, Pulleyblank, W. R., editor, Rinnooy Kan, A. H. G., editor, Ritter, K., editor, Sargent, R. W. H., editor, Shanno, D. F., editor, Trotter, L. E., Jr., editor, Tuy, H., editor, Wets, R. J. B., editor, Beale, E. M. L., editor, Dantzig, G. B., editor, Kantorovich, L. V., editor, Koopmans, T. C., editor, Tucker, A. W., editor, Wolfe, P., editor, and Demyanov, V. F., editor

Published
1986
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