Results 11 to 20 of about 969,051 (320)
Stochastic absolute value equations [PDF]
Journal of Applied Mathematics and Computing, 2022 We propose a new kind of stochastic absolute value equations involving absolute values of variables. By utilizing an equivalence relation to stochastic bilinear program, we investigate the expected value formulation for the proposed stochastic absolute value equations.
Shouqiang Du +3 more
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Residual Iterative Method for Solving Absolute Value Equations [PDF]
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
doaj +5 more sources
The study of new fixed-point iteration schemes for solving absolute value equations [PDF]
HeliyonAbsolute value equations (AVEs) play a crucial role in solving various complexities across scientific computing, engineering, management science, and operations research.
Rashid Ali, Zhao Zhang, Fuad A. Awwad
doaj +4 more sources
Modified Picard-like Method for Solving Absolute Value Equations [PDF]
Mathematics, 2023 We present a modified Picard-like method to solve absolute value equations by equivalently expressing the implicit fixed-point equation form of the absolute value equations as a two-by-two block nonlinear equation.
Yuan Liang, Chaoqian Li
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Tensor absolute value equations [PDF]
Science China Mathematics, 2018 This paper is concerned with solving some structured multi-linear systems, which are called tensor absolute value equations. This kind of absolute value equations is closely related to tensor complementarity problems and is a generalization of the well-known absolute value equations in the matrix case.
Du, Shouqiang +3 more
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Interval algorithm for absolute value equations
Open Mathematics, 2011 Abstract We investigate the absolute value equations Ax−|x| = b. Based on ɛ-inflation, an interval verification method is proposed. Theoretic analysis and numerical results show that the new proposed method is effective.
Wang Aixiang, Wang Haijun, Deng Yongkun
doaj +2 more sources
Pre-Service Teachers’ Strategies in Solving Absolute Value Equations and Inequalities [PDF]
Education Sciences, 2022 Many secondary school students have encountered difficulties when dealing with absolute value equations and inequalities. This condition might be brought to higher education, including by pre-service mathematics teachers in teacher training colleges. The
Al Jupri +2 more
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A Newton-type technique for solving absolute value equations
Alexandria Engineering Journal, 2023 The Newton-type technique is proposed for solving absolute value equations. This new method is a two-step technique with the generalized Newton technique as a predictor and corrector step is the Simpson’s method. Convergence results are established under
Alamgir Khan +7 more
doaj +3 more sources
An improved generalized Newton method for absolute value equations. [PDF]
Springerplus, 2016 In this paper, we suggest and analyze an improved generalized Newton method for solving the NP-hard absolute value equations [Formula: see text] when the singular values of A exceed 1. We show that the global and local quadratic convergence of the proposed method.
Feng J, Liu S.
europepmc +4 more sources
Further study on tensor absolute value equations [PDF]
Science China Mathematics, 2018 26 pages and 4 ...
Chen Ling +3 more
openalex +5 more sources