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Volumn 300, Issue 2, 2004, Pages 436-453

Local convergence of the steepest descent method in Hilbert spaces

Author keywords

Locally Lipschitz continuous operator; Palais Smale condition; Picard Lindel f theorem; Sobolev embedding theorem; Steepest descent method

Indexed keywords


EID: 8644243116     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.06.051     Document Type: Article
Times cited : (22)

References (16)
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    • Differential gradient methods
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    • Some effective methods for unconstrained optimization based on the solution of systems of ordinary differential equations
    • A.A. Brown M.C. Bartholomew-Biggs Some effective methods for unconstrained optimization based on the solution of systems of ordinary differential equations J. Optim. Theory Appl. 62 1989 211-224
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    • Brown, A.A.1    Bartholomew-Biggs, M.C.2
  • 8
    • 8644241259 scopus 로고    scopus 로고
    • On the gradient method in a Hilbert space in the case of nonisolated minima
    • A.F. Izmailov A.A. Tret'yakov On the gradient method in a Hilbert space in the case of nonisolated minima Comput. Math. Math. Phys. 39 1999 521-524
    • (1999) Comput. Math. Math. Phys. , vol.39 , pp. 521-524
    • Izmailov, A.F.1    Tret'yakov, A.A.2
  • 9
    • 0003734131 scopus 로고
    • The gradient method for a class of nonlinear operators in Hilbert space and applications to quasilinear differential equations
    • J. Karátson The gradient method for a class of nonlinear operators in Hilbert space and applications to quasilinear differential equations Pure Math. Appl. 6 1995 191-201
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    • Karátson, J.1
  • 10
    • 8644237728 scopus 로고    scopus 로고
    • Gradient method for non-injective operators in Hilbert space with application to Neumann problems
    • J. Karátson Gradient method for non-injective operators in Hilbert space with application to Neumann problems Appl. Math. (Warsaw) 26 1999 333-346
    • (1999) Appl. Math. (Warsaw) , vol.26 , pp. 333-346
    • Karátson, J.1
  • 11
    • 8644235376 scopus 로고    scopus 로고
    • Gradient method for non-uniformly convex functionals in Hilbert space
    • J. Karátson Gradient method for non-uniformly convex functionals in Hilbert space Pure Math. Appl. 11 2000 309-316
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    • Karátson, J.1
  • 12
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    • General theory of relaxation processes for convex functionals
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    • A new arc algorithm for unconstrained optimization
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.