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Description of All Solutions of a Linear Complementarity Problem
- 1.0323687 - ÚI 2010 RIV IL eng J - Journal Article
Rohn, Jiří
Description of All Solutions of a Linear Complementarity Problem.
[Popis množiny řešení problému lineární komplementarity.]
Electronic Journal of Linear Algebra. Roč. 18, - (2009), s. 246-252. ISSN 1537-9582. E-ISSN 1081-3810
R&D Projects: GA ČR GA201/09/1957; GA ČR GC201/08/J020
Institutional research plan: CEZ:AV0Z10300504
Keywords : linear complementarity problem * Moore-Penrose inverse * verified solution * absolute value equation
Subject RIV: BA - General Mathematics
Impact factor: 0.892, year: 2009
http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol18_pp246-252.pdf
Description of all solutions of an n×n linear complementarity problem $x^+=Mx^-+q$ in terms of $2^n$ matrices and their Moore-Penrose inverses is given. The result is applied to describe all solutions of the absolute value equation$Ax+B|x|=b$.
Je uveden popis množiny řešení problému lineární komplementarity $x^+=Mx^-+q$ v termínech $2^n$ matic a jejich Moore-Penroseových inverzí. Výsledek je použit k popisu množiny řešení rovnice $Ax+B|x|=b$.
Permanent Link: http://hdl.handle.net/11104/0171572
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