A verification method for enclosing solutions of absolute value equations

DOI10.1007/s13348-011-0057-5zbMath1310.65057OpenAlexW2088306780MaRDI QIDQ1944717

Suyu Cao, Hao Liu, Hai-Jun Wang

Publication date: 27 March 2013

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13348-011-0057-5

zbMATH Keywords

existence of solutionsinterval arithmeticinterval iterationnumerical experiment\(H\)-matrixabsolute value equationsenclose of solutions

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Interval and finite arithmetic (65G30) Algorithms with automatic result verification (65G20)

Related Items (8)

A modified fixed point iteration method for solving the system of absolute value equations ⋮ Numerical validation for systems of absolute value equations ⋮ Error bounds and a condition number for the absolute value equations ⋮ A modified SOR-like method for absolute value equations associated with second order cones ⋮ A modified multivariate spectral gradient algorithm for solving absolute value equations ⋮ SOR-like iteration method for solving absolute value equations ⋮ Levenberg-Marquardt method for solving systems of absolute value equations ⋮ The new iteration algorithm for absolute value equation

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• A theorem of the alternatives for the equationAx+B|x| =b

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