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- W3167175074 abstract "A novel approach for solving the general absolute value equation $Ax+B|x| = c$ where $A,Bin mathbb{R}^{mtimes n}$ and $cin mathbb{R}^m$ is presented. We reformulate the equation as a feasibility problem which we solve via the method of alternating projections (MAP). The fixed points set of the alternating projections map is characterized under nondegeneracy conditions on $A$ and $B$. Furthermore, we prove linear convergence of the algorithm. Unlike most of the existing approaches in the literature, the algorithm presented here is capable of handling problems with $mneq n$, both theoretically and numerically." @default.
- W3167175074 created "2021-06-22" @default.
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- W3167175074 date "2021-06-06" @default.
- W3167175074 modified "2023-09-23" @default.
- W3167175074 title "Method of Alternating Projection for the Absolute Value Equation." @default.
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