New matrix splitting iteration method for generalized absolute value equations
AIMS Mathematics, 2023 In this paper, a relaxed Newton-type matrix splitting (RNMS) iteration method is proposed for solving the generalized absolute value equations, which includes the Picard method, the modified Newton-type (MN) iteration method, the shift splitting modified
Wan-Chen Zhao, Xinhui Shao
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An inexact Douglas-Rachford splitting method for solving absolute value equations [PDF]
arXiv.org, 2021 : The last two decades witnessed the increasing of the interests on the absolute value equations (AVE) of finding x ∈ R such that Ax − |x| − b = 0, where A ∈ Rn×n and b ∈ R. In this paper, we pay our attention on designing efficient algorithms.
Cai-Rong Chen, D. Yu, Deren Han
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Primal-Dual Bilinear Programming Solution of the Absolute Value Equation [PDF]
, 2011 We propose a finitely terminating primal-dual bilinear programming algorithm for the solution of the NP-hard absolute value equation (AVE): Ax ? |x| = b, where A is an n n square matrix.
Olvi L. Mangasarian, Mangasarian, Olvi
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The Unique Solvability Conditions for the Generalized Absolute Value Equations [PDF]
, 2023 This paper investigates the conditions that guarantee unique solvability and unsolvability for the generalized absolute value equations (GAVE) given by $Ax - B \vert x \vert = b$.
Deepmala, Kumar, Shubham
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Developing the Estimating Equations for Muscle Power by Analysis of Reliability and Validity on Different Versions of Wingate Anaerobic Test Setting [PDF]
Cheyuk gwahag yeon-gu, 2021 PURPOSE The purpose of this study was to develop the estimating equations for 4 types of Wingate Anaerobic test setting. METHODS 80 male elite athletes performed 4 trials of the Wingate Anaerobic test by each type.
Bongju Sung, Byounggoo Ko, Kwangkyu Lee
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Thermodynamic Modeling and Phase Prediction for Binary System Dinitrogen Monoxide and Propane [PDF]
Journal of Chemistry Letters, 2020 One of the important activities in chemical engineering is designing and simulating different processes in order to optimize the unit economically and operationally.
Alireza Bozorgian, Behrouz Raei
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Two new generalized iteration methods for solving absolute value equations using $ M $-matrix
AIMS Mathematics, 2022 In this paper, we present two new generalized Gauss-Seidel iteration methods for solving absolute value equations $ Ax-| x | = b, $ where $ A $ is an $ M $-matrix. Furthermore, we demonstrate their convergence under specific assumptions.
Rashid Ali +3 more
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Residual Iterative Method for Solving Absolute Value Equations
Abstract and Applied Analysis, 2012 We suggest and analyze a residual iterative method for solving absolute value equations Ax-x=b where A∈Rn×n, b∈Rn are given and x∈Rn is unknown, using the projection technique. We also discuss the convergence of the proposed method.
Muhammad Aslam Noor +2 more
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A Three-Step Iterative Method for Solving Absolute Value Equations
Journal of Mathematics, 2020 In this paper, we transform the problem of solving the absolute value equations (AVEs) Ax−x=b with singular values of A greater than 1 into the problem of finding the root of the system of nonlinear equation and propose a three-step algorithm for solving
Jing-Mei Feng, San-Yang Liu
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Validation of Prediction Equations of the Egg Characteristics in Laying Hens [PDF]
Poultry Science Journal, 2022 Poultry researchers have used mathematical models to explain some laying bird responses. There are many equations of the egg characteristics, but their validity has not yet been confirmed.
Jhonatan Inca +2 more
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