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Volumn 123, Issue 1, 2004, Pages 213-221

On the classical necessary second-order optimality conditions

Author keywords

Lagrange multipliers; Mangasarian Fromovitz constraint qualification; Nonconvex optimization; pairs of quadratic forms

Indexed keywords

CONSTRAINT THEORY; NUMBER THEORY;

EID: 5444274580     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:JOTA.0000043998.04008.e6     Document Type: Article
Times cited : (16)

References (9)
  • 1
    • 49949133603 scopus 로고
    • The Fritz John Necessary Optimality Conditions in the Presence of Equality and Inequality Constraints
    • MANGASARIAN, O. L., and FROMOVITZ, S., The Fritz John Necessary Optimality Conditions in the Presence of Equality and Inequality Constraints, Journal of Mathematical Analysis and Applications, Vol. 17, pp. 37-47, 1967.
    • (1967) Journal of Mathematical Analysis and Applications , vol.17 , pp. 37-47
    • Mangasarian, O.L.1    Fromovitz, S.2
  • 3
    • 0034345435 scopus 로고    scopus 로고
    • Degenerate Nonlinear Programming with a Quadratic Growth Condition
    • ANITESCU, M., Degenerate Nonlinear Programming with a Quadratic Growth Condition, SIAM Journal on Optimization, Vol. 10, pp. 1116-1135, 2000.
    • (2000) SIAM Journal on Optimization , vol.10 , pp. 1116-1135
    • Anitescu, M.1
  • 6
    • 0001673058 scopus 로고
    • A Necessary and Sufficient Regularity Condition to Have Bounded Multipliers in Nonconvex Programming
    • GAUVIN, J., A Necessary and Sufficient Regularity Condition to Have Bounded Multipliers in Nonconvex Programming, Mathematical Programming, Vol. 12, pp. 136-138, 1977.
    • (1977) Mathematical Programming , vol.12 , pp. 136-138
    • Gauvin, J.1
  • 7
    • 0020167088 scopus 로고
    • A Unified Theory of First and Second-Order Conditions for Extremum Problems in Topological Vector Spaces
    • BEN-TAL, A., and ZOWE, J., A Unified Theory of First and Second-Order Conditions for Extremum Problems in Topological Vector Spaces, Mathematical Programming Study, Vol. 19, pp. 39-76, 1982.
    • (1982) Mathematical Programming Study , vol.19 , pp. 39-76
    • Ben-Tal, A.1    Zowe, J.2
  • 8
    • 0002765829 scopus 로고
    • On a Subproblem of Trust-Region Algorithms for Constrained Optimization
    • YUAN, Y., On a Subproblem of Trust-Region Algorithms for Constrained Optimization, Mathematical Programming, Vol. 47, pp.53-63, 1990.
    • (1990) Mathematical Programming , vol.47 , pp. 53-63
    • Yuan, Y.1
  • 9
    • 0141938582 scopus 로고    scopus 로고
    • Permanently Going Back and Forth between the Quadratic World and the Convexity World in Optimization
    • HIRIART-URRUTY, J. B., and TORKI, M., Permanently Going Back and Forth between the Quadratic World and the Convexity World in Optimization, Applied Mathematics and Optimization, Vol. 45, pp. 169-184, 2002.
    • (2002) Applied Mathematics and Optimization , vol.45 , pp. 169-184
    • Hiriart-Urruty, J.B.1    Torki, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.