USE OF EXTRAPOLATION METHODS FOR FINDING A MINIMIZING POINT

被引：0
作者：
LEFERRAND, H
机构：
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1994年 / 318卷 / 11期
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暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We use an extrapolation method like Steffensen's for solving an unconstrained optimization problem. The method is studied. We prove that in R(n) the general principle of minimization algorithms is satisfied. Uniform inversibility allows to show that the method is of order two. A new expression of that assumption is given.
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页码：1043 / 1046
页数：4
相关论文
共 15 条
  • [1] BREZINSKI C, 1970, CR ACAD SCI A MATH, V271, P1174
  • [2] Brezinski C., 1975, Calcolo, V12, P317, DOI 10.1007/BF02575753
  • [3] Brezinski C., 1992, EXTRAPOLATION METHOD
  • [4] POLYNOMIAL EXTRAPOLATION METHOD FOR FINDING LIMITS AND ANTI-LIMITS OF VECTOR SEQUENCES
    CABAY, S
    JACKSON, LW
    [J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1976, 13 (05) : 734 - 752
  • [5] Ciarlet PG, 1982, INTRO ANAL NUMERIQUE
  • [6] GEKELER E, 1972, MATH COMPUT, V26, P427, DOI 10.1090/S0025-5718-1972-0314226-X
  • [7] HENRICI P, 1964, ELEMENTS NUMERICAL A
  • [8] SOME RESULTS ABOUT VECTOR EXTRAPOLATION METHODS AND RELATED FIXED-POINT ITERATIONS
    JBILOU, K
    SADOK, H
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1991, 36 (03) : 385 - 398
  • [9] Le Ferrand H., 1992, Numerical Algorithms, V3, P273, DOI 10.1007/BF02141936
  • [10] Minoux Michel, 1983, PROGRAMMATION MATH T
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