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| Home > Articles > Published articles > Infeasible-interior-point paths for sufficient linear complementarity problems and their analyticity |
| Date: | 1998 |
| Abstract: | In this paper we study the behavior of infeasible-interior-point-paths for solving horizontal linear complementarity problems that are sufficient in the sense of Cottle et al. (R. W. Cottle, J. -S. Pang, Venkateswaran, Linear Algebra Appl. 114/115 (1989) 231-249). We show that these paths converge to a central point of the set of solutions. It is also shown that these are analytic functions of the path parameter even at the limitpoint, if the complementarity problem has a strictly complementary solution, and have a simple branchpoint, if it is solveable, but has no strictly complementarity solution. . |
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| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Subject: | Horizontal linear complementarity problems ; Sufficient matrices ; Infeasible interior-point-paths |
| Published in: | Mathematical Programming, vol. 83 n. 3 (1998) p. 407-423, ISSN 0025-5610 |
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