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- W4375959035 abstract "In this paper, we discussed the unique solvability of the two absolute value matrix equations. The unique solvability condition $rho (vert A^{-1} B vert)<1$ is provided for the generalized absolute value matrix equation (GAVME) $AX + B vert X vert = F$. This condition is superior to that of Kumar et al. [J. Numer. Anal. Approx. Theory, 51(1) (2022) 83-87]. We also discussed different conditions for the unique solvability of the new generalized absolute value matrix equation (NGAVME) $AX+Bvert CX vert=F$ with $A, B, C, F, X in mathcal{R}^{n times n}$. We also provided the corrected version of Corollary 2.1 from the published work by Wang et al. [Appl. Math. Lett., 116 (2021) 106966]." @default.
- W4375959035 created "2023-05-10" @default.
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- W4375959035 date "2023-05-08" @default.
- W4375959035 modified "2023-09-26" @default.
- W4375959035 title "Sufficient conditions for the unique solvability of absolute value matrix equations" @default.
- W4375959035 doi "https://doi.org/10.48550/arxiv.2305.04495" @default.
- W4375959035 hasPublicationYear "2023" @default.
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