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465 results on '"Peña, J.M."'

14. Total positivity and high relative accuracy for several classes of Hankel matrices.

Author

Mainar, E., Peña, J.M., and Rubio, B.

Subjects
*NUMERICAL solutions for linear algebra, *MATRICES (Mathematics), *OPTIMISM, *HILBERT space
Abstract

Summary: Gramian matrices with respect to inner products defined for Hilbert spaces supported on bounded and unbounded intervals are represented through a bidiagonal factorization. It is proved that the considered matrices are strictly totally positive Hankel matrices and their catalecticant determinants are also calculated. Using the proposed representation, the numerical resolution of linear algebra problems with these matrices can be achieved to high relative accuracy. Numerical experiments are provided, and they illustrate the excellent results obtained when applying the theoretical results. [ABSTRACT FROM AUTHOR]

Published
2024
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35. Factorizations of Totally Negative Matrices

Author

Cortés, V., Peña, J.M., Dym, Harry, editor, Ball, Joseph A., editor, Kaashoek, Marinus A., editor, Langer, Heinz, editor, Tretter, Christiane, editor, Adamyan, Vadim, editor, Böttcher, Albrecht, editor, Brown, B. Malcolm, editor, Curto, Raul, editor, Gesztesy, Fritz, editor, Kurasov, Pavel, editor, Lerer, Leonid E., editor, Paulsen, Vern, editor, Putinar, Mihai, editor, Rodman, Leiba, editor, Spitkovsky, Ilya M., editor, Coburn, Lewis A., editor, Foias, Ciprian, editor, Helton, J. William, editor, Kailath, Thomas, editor, Lancaster, Peter, editor, Lax, Peter D., editor, Sarason, Donald, editor, Silbermann, Bernd, editor, Widom, Harold, editor, Bini, Dario Andrea, editor, Mehrmann, Volker, editor, Olshevsky, Vadim, editor, Tyrtyshnikov, Eugene E., editor, and van Barel, Marc, editor

Published
2010
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