Finite termination and global monotonicity of Newton-type methods for solving hybrid piecewise linear systems

DOI10.1080/00207160903104316zbMath1183.65064OpenAlexW2040408670MaRDI QIDQ5850769

Jinhai Chen, Ravi P. Agarwal

Publication date: 15 January 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160903104316

zbMATH Keywords

Newton-type methodsM-matrixfinite terminationglobal monotonicityhybrid piecewise linear systems

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Large-scale problems in mathematical programming (90C06) Methods of quasi-Newton type (90C53) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Cites Work

• Semi-implicit finite difference methods for the two-dimensional shallow water equations
• Iterative Solution of Piecewise Linear Systems
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Complementarity problems
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