Geodesic
The relaxed MGHSS-like method for absolute value equations
Filomat, Tome 37 (2023) no. 26, p. 8845

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DOI

Based on the matrix splitting techniques and the ideas of the GPHSS-like method, we proposed the relaxed modified generalized HSS-like method (RMGHSS-like), which is more efficient and more robust than the RPHSS-like, the MBAS, the NI and the NHSS-like methods for the absolute value equation. Furthermore , the RMGHSS-like method is the general form of the relaxed PHSS-like method. The convergence of the RMGHSS-like iterative method is proved by theoretical analysis, and the relationships between the parameters are rigorously discussed when the coefficient matrix E is a Hermitian positive definite matrix under the minimum spectral radius. Numerical experiments had been given to recognize the effectiveness of the RMGHSS-like method.
DOI : 10.2298/FIL2326845S
Classification : 65Fxx, 65F08, 65F10.
Keywords: Absolute value equations, Matrix splitting, Hermitian matrix, PHSS-like iteration, RMGHSS-like iteration 
Xin-Hui Shao; Shao-Xiong Yang. The relaxed MGHSS-like method for absolute value equations. Filomat, Tome 37 (2023) no. 26, p. 8845 . doi: 10.2298/FIL2326845S
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     title = {The relaxed {MGHSS-like} method for absolute value equations},
     journal = {Filomat},
     pages = {8845 },
     year = {2023},
     volume = {37},
     number = {26},
     doi = {10.2298/FIL2326845S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2326845S/}
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