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arXiv (Cornell University)
A generalization of the Newton-based matrix splitting iteration method for generalized absolute value equations
September 2023 • Xuehua Li, Cairong Chen
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.
Generalization
Mathematics
Newton's Method
Mathematical Analysis
Physics
Economic Growth
Statistics
Economics
Materials Science
Quantum Mechanics
Composite Material