```000000166 001 __ 166
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000000166 024 8_ \$9 scholar \$a oai:ddd.uab.cat:166
000000166 035 __ \$a 00255610v83n2p263
000000166 041 0_ \$a eng
000000166 100 1_ \$a Sien, Deng
000000166 245 10 \$a Perturbation analysis of a condition number for convex inequality systems and global error bounds for analytic systems
000000166 520 3_ \$a In this paper several types of perturbations on a convex inequality system are considered, and conditions are obtained for the system to be well-conditioned under these types of perturbations, where the well-conditionedness of a convex inequality system is defined in terms of the uniform boundedness of condition numbers under a set of perturbations. It is shown that certain types of perturbations can be used to characterize the well-conditionedness of a convex inequality system, in which either the system has a bounded solution set and satisfies the Slater condition or an associated convex inequality system, which defines the recession cone of the solution set for the system, satisfies the Slater condition. Finally, sufficient conditions are given for the existence of a global error bound for an analytic system. It is shown that such a global error bound always holds for any inequality system defined by finitely many convex analytic functions when the zero vector is in the relative interior of the domain of an associated convex conjugate function..
000000166 546 __ \$a Anglès.
000000166 599 __ \$a recerca
000000166 653 1_ \$a Condition numbers
000000166 653 1_ \$a Analytic systems
000000166 653 1_ \$a Convex inequality systems
000000166 653 1_ \$a Level-coercivity
000000166 653 1_ \$a Recession functions
000000166 653 1_ \$a Recession cones
000000166 653 1_ \$a Perturbation analysis
000000166 655 _4 \$a Article
000000166 655 _4 \$a info:eu-repo/semantics/article
000000166 655 _4 \$a info:eu-repo/semantics/publishedVersion
000000166 773 __ \$g vol. 83 n. 2 (1998) p. 263-276 \$t Mathematical Programming \$x 0025-5610
000000166 856 4_ \$p 14 \$s 626711 \$u http://ddd.uab.cat/uab/matpro/00255610v83n2p263.pdf
000000166 973 __ \$f 263 \$l 276 \$m 10 \$n 2 \$v 83 \$x 00255610v83n2 \$y 1998
000000166 980 __ \$a ARTPUB \$b MATPRO```