A smoothing-type algorithm for solving inequalities under the order induced by a symmetric cone

In this article, we consider the numerical method for solving the system of inequalities under the order induced by a symmetric cone with the function involved being monotone. Based on a perturbed smoothing function, the underlying system of inequalities is reformulated as a system of smooth equatio...

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Veröffentlicht in:	Journal of inequalities and applications Jg. 2011; H. 1; S. 1 - 13
Hauptverfasser:	Lu, Nan, Zhang, Ying
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Cham Springer International Publishing 01.01.2011 Springer Nature B.V SpringerOpen
Schlagworte:	Algebra Algorithms Analysis Applications of Mathematics Classifications global convergence Inequalities local quadratic convergence Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Numerical analysis Smoothing smoothing-type algorithm Symmetric cone; Euclidean Jordan algebra smoothing-type algorithm local quadratic convergence Symmetric cone; Euclidean Jordan algebra global convergence
ISSN:	1029-242X, 1025-5834, 1029-242X
Online-Zugang:	Volltext
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