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Convergence analysis of modulus-based matrix splitting iterative methods for implicit complementarity problems

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In this paper, we demonstrate a complete version of the convergence theory of the modulus-based matrix splitting iteration methods for solving a class of implicit complementarity problems proposed by Hong… Click to show full abstract

In this paper, we demonstrate a complete version of the convergence theory of the modulus-based matrix splitting iteration methods for solving a class of implicit complementarity problems proposed by Hong and Li (Numer. Linear Algebra Appl. 23:629-641, 2016). New convergence conditions are presented when the system matrix is a positive-definite matrix and an H+$H_{+}$-matrix, respectively.

Keywords: complementarity problems; matrix splitting; modulus based; matrix; based matrix; implicit complementarity

Journal Title: Journal of Inequalities and Applications
Year Published: 2018

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