On Picard-SHSS iteration method for absolute value equation
| Autor: | Jin Wen, Shu-Xin Miao, Xiang-Tuan Xiong |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
picard method
convergence Iterative method lcsh:Mathematics General Mathematics picard-shss method inexact picard method lcsh:QA1-939 Mathematics::Algebraic Geometry Fixed-point iteration absolute value equation ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Convergence (routing) Absolute value equation Applied mathematics Mathematics |
| Zdroj: | AIMS Mathematics, Vol 6, Iss 2, Pp 1743-1753 (2021) |
| ISSN: | 2473-6988 |
| Popis: | Picard-type methods are efficient methods for solving the absolute value equation $ Ax-|x| = b $. To further improve the performance of Picard iteration method, a new inexact Picard iteration method, named Picard-SHSS iteration method, is proposed to solve the absolute value equation. The sufficient condition for the convergence of the proposed method for solving the absolute value equation is given. A numerical example is given to demonstrate the effectiveness of the new method. |
| Databáze: | OpenAIRE |
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