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Spectral gradient projection method for solving nonlinear monotone equations
- Source :
- Journal of Computational and Applied Mathematics. (2):478-484
- Publisher :
- Elsevier B.V.
-
Abstract
- An algorithm for solving nonlinear monotone equations is proposed, which combines a modified spectral gradient method and projection method. This method is shown to be globally convergent to a solution of the system if the nonlinear equations to be solved is monotone and Lipschitz continuous. An attractive property of the proposed method is that it can be applied to solving nonsmooth equations. We also give some preliminary numerical results to show the efficiency of the proposed method.
- Subjects :
- Spectral gradient method
Numerical analysis
Applied Mathematics
Mathematical analysis
MathematicsofComputing_NUMERICALANALYSIS
Lipschitz continuity
Local convergence
Nonlinear system
Computational Mathematics
Monotone polygon
Projection method
Monotone
Spectral method
Gradient method
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 03770427
- Issue :
- 2
- Database :
- OpenAIRE
- Journal :
- Journal of Computational and Applied Mathematics
- Accession number :
- edsair.doi.dedup.....bd89d6987e3b4c4f0ab8220a5f79f9b6
- Full Text :
- https://doi.org/10.1016/j.cam.2005.10.002