메뉴 건너뛰기




Volumn 108, Issue 1, 2006, Pages 177-205

Cubic regularization of Newton method and its global performance

Author keywords

General nonlinear optimization; Global complexity bounds; Global rate of convergence; Newton method; Trust region methods; Unconstrained optimization

Indexed keywords

COMPUTATIONAL COMPLEXITY; CONVERGENCE OF NUMERICAL METHODS; LINEAR ALGEBRA; LINEAR PROGRAMMING; LINEAR SYSTEMS; OPTIMIZATION;

EID: 33646730150     PISSN: 00255610     EISSN: 14364646     Source Type: Journal    
DOI: 10.1007/s10107-006-0706-8     Document Type: Article
Times cited : (1053)

References (15)
  • 1
    • 31344436743 scopus 로고
    • Newton's method in general analysis
    • Bennet, A.A.: Newton's method in general analysis. Proc. Nat. Ac. Sci. USA. 2 (10), 592-598 (1916)
    • (1916) Proc. Nat. Ac. Sci. USA. , vol.2 , Issue.10 , pp. 592-598
    • Bennet, A.A.1
  • 5
    • 0001237594 scopus 로고
    • Maximization by quadratic hill climbing
    • Goldfeld, S., Quandt, R., Trotter, H.: Maximization by quadratic hill climbing. Econometrica. 34, 541-551 (1966)
    • (1966) Econometrica , vol.34 , pp. 541-551
    • Goldfeld, S.1    Quandt, R.2    Trotter, H.3
  • 6
    • 0002572659 scopus 로고
    • Functional analysis and applied mathematics
    • in Russian
    • Kantorovich, L.V.: Functional analysis and applied mathematics. Uspehi Matem. Nauk. 3 (1), 89-185 (1948), (in Russian).
    • (1948) Uspehi Matem. Nauk. , vol.3 , Issue.1 , pp. 89-185
    • Kantorovich, L.V.1
  • 7
    • 33646724089 scopus 로고
    • Translated as, Washington D.C.
    • Translated as N.B.S. Report 1509, Washington D.C. (1952)
    • (1952) N.B.S. Report , vol.1509
  • 8
    • 0000873069 scopus 로고
    • A method for the solution of certain problems in least squares
    • Levenberg, K.: A method for the solution of certain problems in least squares. Quart. Appl. Math. 2, 164-168 (1944)
    • (1944) Quart. Appl. Math. , vol.2 , pp. 164-168
    • Levenberg, K.1
  • 9
    • 0000169232 scopus 로고
    • An algorithm for least-squares estimation of nonlinear parameters
    • Marquardt, D.: An algorithm for least-squares estimation of nonlinear parameters. SIAM J. Appl. Math. 11, 431-441 (1963)
    • (1963) SIAM J. Appl. Math. , vol.11 , pp. 431-441
    • Marquardt, D.1
  • 14
    • 0013553967 scopus 로고
    • Gradient methods for minimization of functionals
    • Polyak, B.T.: Gradient methods for minimization of functionals. USSR Comp. Math. Math. Phys. 3 (3), 643-653 (1963)
    • (1963) USSR Comp. Math. Math. Phys. , vol.3 , Issue.3 , pp. 643-653
    • Polyak, B.T.1
  • 15
    • 0032259651 scopus 로고    scopus 로고
    • Convexity of quadratic transformations and its use in control and optimization
    • Polyak, B.T.: Convexity of quadratic transformations and its use in control and optimization. J. Optim. Theory and Appl. 99 (3), 553-583 (1998)
    • (1998) J. Optim. Theory and Appl. , vol.99 , Issue.3 , pp. 553-583
    • Polyak, B.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.