ISSN:
1436-4646
Keywords:
Key words: multiparametric optimization – generalized index – regular value condition – existence of locally bounded Lagrange multiplier vector
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract. We study the local change of the generalized index, which is a modification of the Morse index and the stationary index, for the multiparametric optimization. Under the Regular Value Condition, the change of the generalized index around a triplet (x,v,t) is locally bounded by the dimension of the parameter vector t, where x is a variable vector and v a vector of the Lagrange multiplier space. We also discuss the local change of the generalized index around a pair (x,t).
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/PL00011374
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