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A generalization of the Newton-based matrix splitting iteration method for generalized absolute value equations (2309.09520v1)

Published 18 Sep 2023 in math.NA, cs.NA, and math.OC

Abstract: A generalization of the Newton-based matrix splitting iteration method (GNMS) for solving the generalized absolute value equations (GAVEs) is proposed. Under mild conditions, the GNMS method converges to the unique solution of the GAVEs. Moreover, we can obtain a few weaker convergence conditions for some existing methods. Numerical results verify the effectiveness of the proposed method.

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