On generalized Traub's method for absolute value equations

DOI10.1007/s10957-015-0712-1zbMath1391.65106OpenAlexW2019319185MaRDI QIDQ493062

Farhad Khaksar Haghani

Publication date: 11 September 2015

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

Full work available at URL: https://doi.org/10.1007/s10957-015-0712-1

zbMATH Keywords

absolute value equationsgeneralized Newton's methodgeneralized Traub's method

Mathematics Subject Classification ID

Related Items (18)

Newton-based matrix splitting iteration methods for the weakly nonlinear system ⋮ A two-step Newton-type method for solving system of absolute value equations ⋮ A relaxed generalized Newton iteration method for generalized absolute value equations ⋮ On developing a stable and quadratic convergent method for solving absolute value equation ⋮ Modified Newton-type iteration methods for generalized absolute value equations ⋮ A three-step iterative method for solving absolute value equations ⋮ Relaxed-based matrix splitting methods for solving absolute value equations ⋮ The new iteration methods for solving absolute value equations. ⋮ Inexact Newton-type method for solving large-scale absolute value equation \(Ax-|x|=b\). ⋮ A Unified Numerical Approach for a Large Class of Nonlinear Black-Scholes Models ⋮ A modified multivariate spectral gradient algorithm for solving absolute value equations ⋮ Numerical comparisons based on four smoothing functions for absolute value equation ⋮ A dynamic model to solve the absolute value equations ⋮ Bounds for the solutions of absolute value equations ⋮ A quadratically convergent descent method for the absolute value equation \(Ax + B |x| = b\) ⋮ A new two-step iterative method for solving absolute value equations ⋮ The Picard-HSS-SOR iteration method for absolute value equations ⋮ Method of alternating projections for the general absolute value equation

Uses Software

• Mathematica

Cites Work

• Residual iterative method for solving absolute value equations
• A generalized Newton method for absolute value equations associated with second order cones
• Absolute value equations
• A generalized Newton method for absolute value equations
• Global and finite convergence of a generalized Newton method for absolute value equations
• A numerical method for computing the principal square root of a matrix
• Mathematica in Action
• A theorem of the alternatives for the equationAx+B|x| =b
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• Unnamed Item
• Unnamed Item
• Unnamed Item

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