Results 11 to 20 of about 8,237,670 (265)
Gauss Quadrature Method for System of Absolute Value Equations
Mathematics, 2023 In this paper, an iterative method was considered for solving the absolute value equation (AVE). We suggest a two-step method in which the well-known Gauss quadrature rule is the corrector step and the generalized Newton method is taken as the predictor ...
Lei Shi +3 more
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A New Finite-Difference Method for Nonlinear Absolute Value Equations
MathematicsIn this paper, we propose a new finite-difference method for nonconvex absolute value equations. The nonsmooth unconstrained optimization problem equivalent to the absolute value equations is considered.
Peng Wang, Yujing Zhang, Detong Zhu
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Solving Nonlinear Absolute Value Equations [PDF]
In this work we show that several problems naturally modeled as Nonlinear Absolute Value Equations (NAVE), can be restated as Nonlinear Complementarity Problems (NCP) and solved efficiently using smoothing regularizing techniques under mild assumptions ...
Daniilidis, Aris +3 more
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The new iteration methods for solving absolute value equations [PDF]
, 2023 summary:Many problems in operations research, management science, and engineering fields lead to the solution of absolute value equations. In this study, we propose two new iteration methods for solving absolute value equations $ Ax-|x| = b$, where $A ...
Ali, Rashid, Pan, Kejia
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Solving Absolute Value Equations and Inequalities on a Number Line [PDF]
, 2016 Absolute value has often been taught procedurally. Many students struggle with solving absolute value equations and inequalities because they do not have an understanding of the underlying concepts.
Curtis, Melinda A
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The modification of the generalized gauss-seidel iteration techniques for absolute value equations [PDF]
Computational Algorithms and Numerical Dimensions, 2022 This paper proposes two modified generalized Gauss-Seidel iteration techniques to determine the Absolute Value Equations (AVEs). Convergence of the new techniques is established under some appropriate conditions lastly; several numerical examples verify ...
Rashid Ali +3 more
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On the unique solvability and numerical study of absolute value equations
Journal of Numerical Analysis and Approximation Theory, 2019 The aim of this paper is twofold. Firstly, we consider the unique solvability of absolute value equations (AVE), \(Ax-B\vert x\vert =b\), when the condition \(\Vert A^{-1}\Vert
Achache Mohamed
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Absolute Value Equations [PDF]
, 2005 We investigate existence and nonexistence of solutions for NP-hard equations in- volving absolute values of variables: Ax ? |x| = b, where A is an arbitrary n n real matrix.
Mangasarian, Olvi +5 more
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The Picard-HSS-SOR iteration method for absolute value equations
Journal of Inequalities and Applications, 2020 In this paper, we present the Picard-HSS-SOR iteration method for finding the solution of the absolute value equation (AVE), which is more efficient than the Picard-HSS iteration method for AVE.
Lin Zheng
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An overview of absolute value equations: from theory to solution methods and challenges [PDF]
Computational optimization and applicationsThis paper provides a comprehensive examination of the absolute value equations \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage ...
Milan Hlad'ik +4 more
semanticscholar +1 more source