Solvability of Newton equations in smoothing-type algorithms for the SOCCP

In this paper, we first investigate the invertibility of a class of matrices. Based on the obtained results, we then discuss the solvability of Newton equations appearing in the smoothing-type algorithm for solving the second-order cone complementarity problem (SOCCP). A condition ensuring the solva...

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Vydané v:	Journal of computational and applied mathematics Ročník 235; číslo 8; s. 2270 - 2276
Hlavní autori:	Lu, Nan, Huang, Zheng-Hai
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Kidlington Elsevier B.V 15.02.2011 Elsevier
Predmet:	Algebra Algorithms Computation Exact sciences and technology Jacobi matrix method Jacobian matrix Linear and multilinear algebra, matrix theory Mathematical analysis Mathematical models Mathematics Matrices Nonlinear algebraic and transcendental equations Numerical analysis Numerical analysis. Scientific computation Optimization Sciences and techniques of general use Second-order cone complementarity problem Smoothing-type algorithm Solvability of Newton equations Solvability of Newton equations 90C26 Second-order cone complementarity problem 90C30 Smoothing-type algorithm 90C33 Second order equation Transcendental equation Smoothing methods Optimization method Invertibility Jacobi matrix Algorithm Matrix function Equation system Non linear equation Numerical analysis Smoothing Applied mathematics Algebraic equation Problem solving
ISSN:	0377-0427, 1879-1778
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