Change of generalized indices of stationary solutions. to multiparametric optimization |
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Authors: | Masayuki Shida |
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Institution: | (1) Department of Mathematics and Physics, National Defense Academy, 1-10-20, Hashirimizu, Yokosuka 239-8686, Japan, e-mail: shida@cc.nda.ac.jp, JP |
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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).
Received: March 27, 1998 / Accepted: January 29, 2000?Published online April 20, 2000 |
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Keywords: | : multiparametric optimization – generalized index – regular value condition – existence of locally bounded Lagrange multiplier vector |
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