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Volumn 106, Issue 3, 2000, Pages 683-688

Fundamental theorems of Morse theory for optimization on manifolds with corners

Author keywords

Fundamental theorems of Morse theory; Manifold with corners; Morse inequalities; Stable stationary solutions

Indexed keywords

FUNDAMENTAL THEOREM OF MORSE THEORY; FUNDAMENTAL THEOREMS; MANIFOLD WITH CORNER; MORSE INEQUALITY; MORSE THE-ORY; OPTIMIZATION ON MANIFOLDS; OPTIMIZATION PROBLEMS; STABLE STATIONARY SOLUTION; STATIONARY SOLUTIONS;

EID: 0034336681     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004669815654     Document Type: Article
Times cited : (3)

References (9)
  • 1
    • 0003252211 scopus 로고
    • Morse theory
    • Princeton University Press, Princeton, New Jersey
    • 1. MILNOR, J., Morse Theory, Annals of Mathematics Studies, Princeton University Press, Princeton, New Jersey, Vol. 51, 1963.
    • (1963) Annals of Mathematics Studies , vol.51
    • Milnor, J.1
  • 4
    • 0001731929 scopus 로고
    • Morse theory and optimal control problems
    • Sopron, Hungary
    • 4. AGRACHEV, A. A., and VAKHRAMEEV, S. A., Morse Theory and Optimal Control Problems, Nonlinear Synthesis, Sopron, Hungary, 1989; Progress in Systems Control Theory, Birkhäuser Boston, Boston, Massachusetts, Vol. 9, pp. 1-11, 1991.
    • (1989) Nonlinear Synthesis
    • Agrachev, A.A.1    Vakhrameev, S.A.2
  • 5
    • 85037770081 scopus 로고
    • Birkhäuser Boston, Boston, Massachusetts
    • 4. AGRACHEV, A. A., and VAKHRAMEEV, S. A., Morse Theory and Optimal Control Problems, Nonlinear Synthesis, Sopron, Hungary, 1989; Progress in Systems Control Theory, Birkhäuser Boston, Boston, Massachusetts, Vol. 9, pp. 1-11, 1991.
    • (1991) Progress in Systems Control Theory , vol.9 , pp. 1-11
  • 6
    • 0002416157 scopus 로고
    • Strongly stable stationary solutions in nonlinear programs
    • Edited by S. M. Robinson, Academic Press, New York, NY
    • 5. KOJIMA, M., Strongly Stable Stationary Solutions in Nonlinear Programs, Analysis and Computation of Fixed Points, Edited by S. M. Robinson, Academic Press, New York, NY, pp. 93-138, 1980.
    • (1980) Analysis and Computation of Fixed Points , pp. 93-138
    • Kojima, M.1
  • 7
    • 34249768560 scopus 로고
    • Stability for linearly constrained optimization problems
    • 6. HIRABAYASHI, R., JONGEN, H. T., and SHIDA, M., Stability for Linearly Constrained Optimization Problems, Mathematical Programming, Vol. 66, pp. 351-360, 1994.
    • (1994) Mathematical Programming , vol.66 , pp. 351-360
    • Hirabayashi, R.1    Jongen, H.T.2    Shida, M.3
  • 8
    • 0003275073 scopus 로고
    • Differential topology
    • Springer Verlag, Berlin, Germany
    • 7. HIRSCH, M. W., Differential Topology, Graduate Texts in Mathematics, Springer Verlag, Berlin, Germany, Vol. 33, 1976.
    • (1976) Graduate Texts in Mathematics , vol.33
    • Hirsch, M.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.