The unique solution of a class of the new generalized absolute value equation

DOI10.1016/j.aml.2021.107029zbMath1469.15019OpenAlexW3120493663MaRDI QIDQ2021486

Shi-Liang Wu

Publication date: 27 April 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107029

zbMATH Keywords

unique solutiongeneralized absolute value equation

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (6)

On the unique solution of a class of absolute value equations \(Ax-B|Cx| = d \) ⋮ Relaxed-based matrix splitting methods for solving absolute value equations ⋮ Inexact Newton-type method for solving large-scale absolute value equation \(Ax-|x|=b\). ⋮ SOR-like method for a new generalized absolute value equation ⋮ Unnamed Item ⋮ Sufficient conditions for the unique solution of a new class of Sylvester-like absolute value equations

Cites Work

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• Bounds for the solutions of absolute value equations
• On unique solvability of the absolute value equation
• Systems of linear interval equations
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• The unique solution of the absolute value equations
• Generalizations of \(\mathbf P_ 0\)- and \(\mathbf P\)-properties; extended vertical and horizontal linear complementarity problems
• On the unique solution of the generalized absolute value equation
• A note on unique solvability of the absolute value equation
• An iterative method for solving absolute value equations and sufficient conditions for unique solvability
• A theorem of the alternatives for the equationAx+B|x| =b

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