An analysis of the unique solvability of the horizontal linear complementarity problem
- 1 January 2025
- journal article
- Published by American Institute of Mathematical Sciences (AIMS) in Numerical Algebra, Control & Optimization
Abstract
This paper presents the unique solvability conditions for the horizontal linear complementarity problem (HLCP). Our analysis is based on the connection between generalized absolute value equation (GAVE) and HLCP. In addition, we provide a condition $ \sigma_{max}(A^{-1}B \bar{D})<1 $ to check the unique solvability of the GAVE. To verify our findings, we have included several illustrative examples.
Keywords
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