An improved two-sweep iteration method for absolute value equations

DOI10.1007/s40314-022-01832-3zbMath1499.90127OpenAlexW4220938804MaRDI QIDQ2125919

Hongbing Zhang, Yajing Li, Hong-tao Fan, Yan-Jun Zhang

Publication date: 14 April 2022

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-022-01832-3

zbMATH Keywords

convergencecomparison theoremabsolute value equationstwo-sweep iteration method

Mathematics Subject Classification ID

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

Uses Software

• SparseMatrix

Cites Work

• Unnamed Item
• Two-sweep modulus-based matrix splitting iteration methods for linear complementarity problems
• A modified generalized Newton method for absolute value equations
• An efficient method for optimal correcting of absolute value equations by minimal changes in the right hand side
• Accelerated modulus-based matrix splitting iteration methods for linear complementarity problem
• Residual iterative method for solving absolute value equations
• Two-step modulus-based matrix splitting iteration method for linear complementarity problems
• A globally and quadratically convergent method for absolute value equations
• Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods. I, II
• Absolute value equations
• A generalized Newton method for absolute value equations
• Convergent conditions of the generalized Newton method for absolute value equation over second order cones
• SOR-like iteration method for solving absolute value equations
• Weaker convergent results of the generalized Newton method for the generalized absolute value equations
• On linear convergence of iterative methods for the variational inequality problem
• Minimum norm solution to the absolute value equation in the convex case
• On the solution of general absolute value equations
• The tensor splitting methods for solving tensor absolute value equation
• A note on unique solvability of the absolute value equation
• On the SOR-like iteration method for solving absolute value equations
• The new iteration algorithm for absolute value equation
• Convergence and comparison theorems for double splittings of matrices
• Convergence of accelerated modulus-based matrix splitting iteration methods for linear complementarity problem with an \(H_+\)-matrix
• Complementary pivot theory of mathematical programming
• On Iterative Solution for Linear Complementarity Problem with an $H_{+}$-Matrix
• The university of Florida sparse matrix collection
• Modulus-based matrix splitting iteration methods for linear complementarity problems
• Estimation of the Optimum Relaxation Factors in Partial Factorization Iterative Methods
• Two-sweep iterative methods
• Picard splitting method and Picard CG method for solving the absolute value equation
• A theorem of the alternatives for the equationAx+B|x| =b

This page was built for publication: An improved two-sweep iteration method for absolute value equations