Bounds for the solutions of absolute value equations

DOI10.1007/s10589-017-9939-0zbMath1411.90322OpenAlexW2753893824MaRDI QIDQ683344

Milan Hladík

Publication date: 6 February 2018

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

Full work available at URL: https://doi.org/10.1007/s10589-017-9939-0

zbMATH Keywords

boundsinterval computationabsolute value equations

Mathematics Subject Classification ID

Nonlinear programming (90C30) Approximation methods and heuristics in mathematical programming (90C59) General methods in interval analysis (65G40) Linear equations (linear algebraic aspects) (15A06)

Related Items (15)

On the unique solution of a class of absolute value equations \(Ax-B|Cx| = d \) ⋮ Momentum acceleration-based matrix splitting method for solving generalized absolute value equation ⋮ Some notes on the solvability conditions for absolute value equations ⋮ A New Fixed-Time Dynamical System for Absolute Value Equations ⋮ Error bounds and a condition number for the absolute value equations ⋮ An inertial inverse-free dynamical system for solving absolute value equations ⋮ Unnamed Item ⋮ A note on unique solvability of the absolute value equation ⋮ New sufficient conditions for the unique solution of a square Sylvester-like absolute value equation ⋮ The unique solution of a class of the new generalized absolute value equation ⋮ Optimal correction of the absolute value equations ⋮ An inverse-free dynamical system for solving the absolute value equations ⋮ On the unique solution of the generalized absolute value equation ⋮ A new concave minimization algorithm for the absolute value equation solution ⋮ Sufficient conditions for the unique solution of a new class of Sylvester-like absolute value equations

Cites Work

• Unnamed Item
• Unnamed Item
• On the unique solvability of the absolute value equation
• 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
• A smoothing-type algorithm for absolute value equations
• Absolute value equation solution via linear programming
• On generalized Traub's method for absolute value equations
• A globally and quadratically convergent method for absolute value equations
• Interval algorithm for absolute value equations
• Some techniques for solving absolute value equations
• On unique solvability of the absolute value equation
• Absolute value equations
• Absolute value programming
• A generalized Newton method for absolute value equations
• An algorithm for computing all solutions of an absolute value equation
• On an iterative method for solving absolute value equations
• A note on absolute value equations
• A uniform approximation method to solve absolute value equation
• An iterative method for solving absolute value equations and sufficient conditions for unique solvability
• Linear complementarity as absolute value equation solution
• On equivalent reformulations for absolute value equations
• Interval Methods for Systems of Equations
• A Comparison of some Methods for Solving Linear Interval Equations
• New Operator and Method for Solving Real Preconditioned Interval Linear Equations
• Linear Optimization Problems with Inexact Data

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