Shift-splitting fixed point iteration method for solving generalized absolute value equations
NUMERICAL ALGORITHMS(2022)
Abstract
Using the shift-splitting strategy, we propose a shift-splitting fixed point iteration (FPI-SS) method for solving large sparse generalized absolute value equations (GAVEs). The FPI-SS method is based on reformulating the GAVE as a two-by-two block nonlinear equation. Several different types of convergence conditions of the FPI-SS method are presented under suitable restrictions. Through numerical experiments, we demonstrate that the FPI-SS method is superior to the fixed point iteration method and the SOR-like iteration method in computing efficiency.
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Key words
Generalized absolute value equation,Shift-splitting,Fixed point iteration,Convergence analysis
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