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Volumn 120, Issue 1 SPEC. ISS., 2009, Pages 125-145

Regularized Newton method for unconstrained convex optimization

Author keywords

[No Author keywords available]

Indexed keywords

CONVEX FUNCTIONS; OPTIMAL SETS; QUADRATIC RATES; REGULARIZED NEWTON METHODS;

EID: 65249101213     PISSN: 00255610     EISSN: 14364646     Source Type: Journal    
DOI: 10.1007/s10107-007-0143-3     Document Type: Article
Times cited : (57)

References (11)
  • 1
    • 0002531174 scopus 로고
    • Methods for solving nonlinear extremal problems (in Russian)
    • Y.M. Ermoliev 1966 Methods for solving nonlinear extremal problems (in Russian) Kibernetika 4 1 17
    • (1966) Kibernetika , vol.4 , pp. 1-17
    • Ermoliev, Y.M.1
  • 2
    • 0002572659 scopus 로고
    • Functional analysis and applied mathematics (in Russian)
    • L.V. Kantorovich 1948 Functional analysis and applied mathematics (in Russian) Uspekhi Mat. Nauk 3 89 185
    • (1948) Uspekhi Mat. Nauk , vol.3 , pp. 89-185
    • Kantorovich, L.V.1
  • 3
    • 0000873069 scopus 로고
    • A method for the solution of certain nonlinear problems in least squares
    • K. Levenberg 1944 A method for the solution of certain nonlinear problems in least squares Q. Appl. Math. 2 164 168
    • (1944) Q. Appl. Math. , vol.2 , pp. 164-168
    • Levenberg, K.1
  • 4
    • 0000169232 scopus 로고
    • An algorithm for least-squares estimation of nonlinear parameters
    • D. Marquardt 1963 An algorithm for least-squares estimation of nonlinear parameters J. Soc. Ind. Appl. Math. 11 431 441
    • (1963) J. Soc. Ind. Appl. Math. , vol.11 , pp. 431-441
    • Marquardt, D.1
  • 6
    • 33646730150 scopus 로고    scopus 로고
    • Cubic regularization of Newton method and its global performance
    • DOI 10.1007/s 10107-006-0706-8, published online 04/25/06
    • Nesterov, Y., Polyak, B.T.: Cubic Regularization of Newton Method and its Global Performance. Mathematical Programming. DOI 10.1007/s 10107-006-0706-8, published online 04/25/06
    • Mathematical Programming
    • Nesterov, Y.1    Polyak, B.T.2
  • 7
    • 0013553967 scopus 로고
    • Gradient methods for the minimization of functionals
    • B.T. Polyak 1963 Gradient methods for the minimization of functionals USSR Comp. Math. and Math. Phys. 3 4 643 653
    • (1963) USSR Comp. Math. and Math. Phys. , vol.3 , Issue.4 , pp. 643-653
    • Polyak, B.T.1
  • 8
    • 0000686629 scopus 로고
    • A general method of solving extremum problems
    • B.T. Polyak 1967 A general method of solving extremum problems Sov. Math. Dokl. 3 593 597
    • (1967) Sov. Math. Dokl. , vol.3 , pp. 593-597
    • Polyak, B.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.