Results 21 to 30 of about 969,051 (320)
The new iteration methods for solving absolute value equations [PDF]
Applications of Mathematics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rashid Ali, Kejia Pan
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Linear Algebra and its Applications, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mangasarian, O.L., Meyer, R.R.
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Preconditioned conjugate gradient methods for absolute value equations
Journal of Numerical Analysis and Approximation Theory, 2020 We investigate the NP-hard absolute value equations (AVE), \(Ax-B|x| =b\), where \(A,B\) are given symmetric matrices in \(\mathbb{R}^{n\times n}, \ b\in \mathbb{R}^{n}\).
Nassima Anane, Mohamed Achache
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Iterative methods for solving absolute value equations
Journal of Mathematics and Computer Science, 2021 Rashid Ali, Asad Ali, S. Iqbal
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A New Efficient Method for Absolute Value Equations
Mathematics, 2023 In this paper, the two-step method is considered with the generalized Newton method as a predictor step. The three-point Newton–Cotes formula is taken as a corrector step. The proposed method’s convergence is discussed in detail.
Peng Guo +5 more
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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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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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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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Modified SOR-Like Method for Absolute Value Equations [PDF]
Mathematical Problems in Engineering, 2020 In this paper, based on the work of Ke and Ma, a modified SOR-like method is presented to solve the absolute value equations (AVE), which is gained by equivalently expressing the implicit fixed-point equation form of the AVE as a two-by-two block nonlinear equation.
Cui-Xia Li, Shi-Liang Wu
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Some quadratic equations in the free group of rank 2 [PDF]
, 2008 For a given quadratic equation with any number of unknowns in any free group F, with right-hand side an arbitrary element of F, an algorithm for solving the problem of the existence of a solution was given by Culler.
Goncalves, Daciberg +2 more
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