On the unique solution of the generalized absolute value equation

DOI10.1007/s11590-020-01672-2zbMath1475.90035arXiv2005.03287OpenAlexW3109228213MaRDI QIDQ2047196

Shi-Liang Wu, Shu-Qian Shen

Publication date: 19 August 2021

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.03287

zbMATH Keywords

necessary and sufficient conditionunique solutiongeneralized absolute value equation

Mathematics Subject Classification ID

Nonlinear programming (90C30) Linear programming (90C05) Iterative numerical methods for linear systems (65F10)

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Momentum acceleration-based matrix splitting method for solving generalized absolute value equation, Some notes on the solvability conditions for absolute value equations, On finite termination of the generalized Newton method for solving absolute value equations, A modified Barzilai-Borwein algorithm for the generalized absolute value equation, The unique solution of a class of the new generalized absolute value equation, Newton-based matrix splitting method for generalized absolute value equation, The existence and uniqueness of solution for tensor complementarity problem and related systems, Sufficient conditions for the unique solution of a new class of Sylvester-like absolute value equations, On the solvability and Picard-type method for absolute value matrix equations

Cites Work

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• Bounds for the solutions of absolute value equations
• On unique solvability of the absolute value equation
• Absolute value equations
• Absolute value programming
• Modulus-based matrix splitting algorithms for the quasi-complementarity problems
• The unique solution of the absolute value equations
• A note on unique solvability of the absolute value equation
• A generalized Newton method for non-Hermitian positive definite linear complementarity problem
• An iterative method for solving absolute value equations and sufficient conditions for unique solvability
• On the number of solutions to the complementarity problem and spanning properties of complementary cones
• A modified modulus method for symmetric positive-definite linear complementarity problems
• Modulus-based matrix splitting iteration methods for linear complementarity problems
• A theorem of the alternatives for the equationAx+B|x| =b
• Convex sets of nonsingular and P:–Matrices
• Matrix theory. Basic results and techniques