An iterative method for solving absolute value equations and sufficient conditions for unique solvability

Jiri Rohn; Vahideh Hooshyarbakhsh; Raena Farhadsefat

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An iterative method for solving absolute value equations and sufficient conditions for unique solvability

机译：一种求解绝对值方程和唯一条件的充分条件的迭代方法

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摘要

We describe an iterative method for solving absolute value equations. The result gives a sufficient condition for unique solvability of these equations for arbitrary right-hand sides. This sufficient condition is compared with that one by Mangasarian and Meyer.

机译：我们描述了一种求解绝对值方程的迭代方法。结果为这些方程对于任意右手边的独特可解性提供了充分条件。将这一充分条件与Mangasarian和Meyer的条件进行了比较。

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《Optimization Letters》 |2014年第1期|共10页
作者
Jiri Rohn; Vahideh Hooshyarbakhsh; Raena Farhadsefat;
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原文格式 PDF
正文语种 eng
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关键词
Absolute value equation; Iterative method; Unique solvability; Sufficient condition;

机译：绝对值方程;迭代法;唯一可解性;充分条件;

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专利

1. An iterative method for solving absolute value equations and sufficient conditions for unique solvability [J] . Jiri Rohn, Vahideh Hooshyarbakhsh, Raena Farhadsefat Optimization Letters . 2014,第1期

机译：一种求解绝对值方程和唯一条件的充分条件的迭代方法
2. A Three-Step Iterative Method for Solving Absolute Value Equations [J] . Jing-Mei Feng, San-Yang Liu Journal of Mathematics . 2020,第4期

机译：一种求解绝对值方程的三步迭代方法
3. On the SOR-like iteration method for solving absolute value equations [J] . Guo Peng, Wu Shi-Liang, Li Cui-Xia Applied mathematics letters . 2019,第期

机译：关于求解绝对值方程的SOR样迭代方法
4. A necessary and sufficient condition for the convergence of iterative procedures for solving equations of nonlinear monotone resistive networks [C] . Jiang, Y., Wing, . 1997

机译：求解非线性单调电阻网络方程的迭代程序收敛的充要条件
5. Distribution iteration: A robust alternative to source iteration for solving the discrete ordinates radiation transport equations in slab and XY-geometries [D] . Prins, Nicholas J. 2008

机译：分布迭代：是源迭代的可靠替代方案，用于求解平板和XY几何中的离散纵坐标辐射传输方程
6. On Generalization Based on Bi et al. Iterative Methods with Eighth-Order Convergence for Solving Nonlinear Equations [O] . Taher Lotfi, Alicia Cordero, Juan R. Torregrosa, -1

机译：基于Bi等人的概论。八阶收敛迭代法求解非线性方程
7. Two CSCS-based iteration methods for solving absolute value equations [O] . Gu, Xian-Ming, Huang, Ting-Zhu, Li, Hou-Biao, 2017

机译：两种基于CsCs的迭代方法求解绝对值方程
8. Use of Block Factorization Iterative Methods in a Stiff ODE (Ordinary Differential Equations) Solver for Two-Dimensional Method-of-Lines Applications [R] . Salane, D. E. 1987

机译：在用于二维线法应用的刚性ODE（常微分方程）求解器中使用块分解迭代方法

An iterative method for solving absolute value equations and sufficient conditions for unique solvability

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