An Inexact Framework of the Newton-Based Matrix Splitting Iterative Method for the Generalized Absolute Value Equation
Dongmei Yu , Cairong Chen , Deren Han
CSIAM Trans. Appl. Math. ›› 2024, Vol. 5 ›› Issue (4) : 835 -851.
An Inexact Framework of the Newton-Based Matrix Splitting Iterative Method for the Generalized Absolute Value Equation
An inexact framework of the Newton-based matrix splitting (INMS) iterative method is developed to solve the generalized absolute value equation, whose exact version was proposed by Zhou, Wu and Li [J. Comput. Appl. Math., 394, 2021]. Global linear convergence of the INMS iterative method is investigated in detail. Some numerical results are given to show the superiority of the INMS iterative method.
Generalized absolute value equation / Newton-based matrix splitting method / inexact iterative method / linear convergence
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