On the modified Hermitian and skew-Hermitian splitting iteration methods for a class of weakly absolute value equations

DOI10.1186/s13660-016-1202-1zbMath1349.90606OpenAlexW2534649910WikidataQ59466011 ScholiaQ59466011MaRDI QIDQ330139

Cui-Xia Li

Publication date: 24 October 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1202-1

zbMATH Keywords

convergenceabsolute value equationMHSS iterationsmoothing approximate function

Mathematics Subject Classification ID

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

Related Items

A generalization of the AOR iteration method for solving absolute value equations ⋮ The nonlinear lopsided PSS-like and HSS-like modulus-based matrix splitting iteration methods for horizontal linear complementarity problem ⋮ Relaxed-based matrix splitting methods for solving absolute value equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the global convergence of the inexact semi-smooth Newton method for absolute value equation
• An efficient method for optimal correcting of absolute value equations by minimal changes in the right hand side
• Residual iterative method for solving absolute value equations
• The Picard-HSS iteration method for absolute value equations
• A generalized Newton method for absolute value equations associated with second order cones
• A globally and quadratically convergent method for absolute value equations
• A modified GHSS method for non-Hermitian positive definite linear systems
• On HSS-based iteration methods for weakly nonlinear systems
• Absolute value equations
• Absolute value programming
• Modified HSS iteration methods for a class of complex symmetric linear systems
• A generalized Newton method for absolute value equations
• Global and finite convergence of a generalized Newton method for absolute value equations
• An iterative method for solving absolute value equations and sufficient conditions for unique solvability
• Complementary pivot theory of mathematical programming
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• A theorem of the alternatives for the equationAx+B|x| =b