AN ALGEBRAIC CRITERION FOR STRONG STABILITY OF STATIONARY SOLUTIONS OF NONLINEAR PROGRAMS WITH A FINITE NUMBER OF EQUALITY CONSTRAINTS AND AN ABSTRACT CONVEX CONSTRAINT

• Matsumoto Toshihiro

  Teikyo University of Science & Technology

書誌事項

タイトル別名

• Algebraic Criterion for Strong Stability of Stationary Solutions of Nonlinear Programs with a Finite Number of Equality Constraints and an Abstract Convex Constraint

抄録

This paper addresses strong stability, in the sense of Kojima, of stationary solutions of nonlinear programs Pro with a finite number of equality constraints and one abstract convex constraint defined by the closed convex set K. It intends to extend results of our former paper that treated nonlinear programs Pro in a special case that K is the set of nonnegative symmetric matrices S_+. Firstly, it deduces properties of eigenvalues of the Euclidean projector on K. Secondly, it extends the results to programs Pro in case that the convex set K satisfies the regular boundary condition that S_+ always satisfies.

収録刊行物

• 日本オペレーションズ・リサーチ学会論文誌

  日本オペレーションズ・リサーチ学会論文誌 48 (4), 269-283, 2005

  公益社団法人 日本オペレーションズ・リサーチ学会

キーワード

• Nonlinear programming
• stationary solution
• strong stability
• stationary index
• Lipschitz continuous map
• nonsmooth analysis

詳細情報

• CRID: 1390282679086380544
• NII論文ID: 110002558256
• NII書誌ID: AA00703935
• DOI: 10.15807/jorsj.48.269
• ISSN: 21888299
• ISSN: 04534514
• NDL書誌ID: 7744791
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7744791
• Web Site: https://www.jstage.jst.go.jp/article/jorsj/48/4/48_KJ00003963203/_pdf
• 本文言語コード: en
• データソース種別:
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  • NDL
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• 抄録ライセンスフラグ: 使用不可