Linear complementarity, linear and nonlinear programming
Citations
3 citations
Cites methods from "Linear complementarity, linear and ..."
...We use the method associated with the concept of active set (Murty, 1988) to solve the above optimization problem iteratively....
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...2.2, the following minimization problem is solved J2 = ( s++u −s + u )T (Q+uu)−1(s++u −s+u ) lbu ≤ s ++ u ≤ ubu (38) We use the method associated with the concept of active set (Murty, 1988) to solve the above optimization problem iteratively....
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2 citations
Cites background or methods from "Linear complementarity, linear and ..."
...A substantial simplification of the NLCP may be done by its transformation to a LCP, whose the numerical solution can be performed by using certain computational algorithms [10] of direct (principal pivoting, Lemke’s etc....
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...Usually this problem can be transformed to a non-linear programming problem or to a fixed point computing problem [10]....
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Cites background or methods from "Linear complementarity, linear and ..."
...The Linear Complementarity Problem (LCP) is one of the fundamental problems in optimization and mathematical programming (Cottle et al., 1992; Murty, 1988)....
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...For more information on the generalizations discussed above and for applications and methods to solve these problems the interested reader may consult the references cited above and (Andreani and Martı́nez, 1998; Ebiefung and Kostreva, 1992; Isac, 1992; Júdice and Vicente, 1994; Mangasarian, 1995; McShane, 1994; Mohan et al., 1996; Murty, 1988; Vandenberghe et al., 1989; Zhang, 1994) and the references therein....
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...For algorithms to solve a (regular) LCP we refer to (Bai, 1999; Chen and Mangasarian, 1995; Cottle et al., 1992; Kaliski and Ye, 1993; Kanzow, 1996; Kočvara and Zowe, 1994; Kremers and Talman, 1994; Mehrotra and Stubbs, 1994; Murty, 1988; Pardalos and Resende, 2002; Schäfer, 2004; Sheng and Potra, 1997; Wright, 1994; Yuan and Song, 2003) and the references therein....
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...…the interested reader may consult the references cited above and (Andreani and Martı́nez, 1998; Ebiefung and Kostreva, 1992; Isac, 1992; Júdice and Vicente, 1994; Mangasarian, 1995; McShane, 1994; Mohan et al., 1996; Murty, 1988; Vandenberghe et al., 1989; Zhang, 1994) and the references therein....
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...…Mangasarian, 1995; Cottle et al., 1992; Kaliski and Ye, 1993; Kanzow, 1996; Kočvara and Zowe, 1994; Kremers and Talman, 1994; Mehrotra and Stubbs, 1994; Murty, 1988; Pardalos and Resende, 2002; Schäfer, 2004; Sheng and Potra, 1997; Wright, 1994; Yuan and Song, 2003) and the references therein....
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