AFFINE INVARIANT CONVERGENCE THEOREMS FOR NEWTONS METHOD AND EXTENSIONS TO RELATED METHODS

被引：169

作者：

DEUFLHARD, P

HEINDL, G

机构：

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1979年 / 16卷 / 01期

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D O I：

10.1137/0716001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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页码：1 / 10

页数：10

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[1] Bartle R G, 1955, P AMS AM MATH SOC, V6, P827
[2] A NEWTON-RAPHSON METHOD FOR SOLUTION OF SYSTEMS OF EQUATIONS
BENISRAEL, A
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1966, 15 (02) : 243 - +
[3] BENISRAEL A, 1974, GENERALIZED INVERSES
[4] ON NEWTON-LIKE METHODS
DENNIS, JE
[J]. NUMERISCHE MATHEMATIK, 1968, 11 (04) : 324 - &
[5] ON KANTOROVICH HYPOTHESIS FOR NEWTONS METHOD
DENNIS, JE
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1969, 6 (03) : 493 - &
[6] DENNIS JE, 1967, SIAM J NUMER ANAL, V4, P103
[7] DENNIS JE, 1967, SIAM J NUMERICAL ANA, V4, P222
[8] MODIFIED NEWTON METHOD FOR SOLUTION OF ILL-CONDITIONED SYSTEMS OF NONLINEAR EQUATIONS WITH APPLICATION TO MULTIPLE SHOOTING
DEUFLHARD, P
[J]. NUMERISCHE MATHEMATIK, 1974, 22 (04) : 289 - 315
[9] DEUFLHARD P, 1976, TUMMATH7627 TU MUNCH
[10] OPTIMAL ERROR BOUNDS FOR NEWTON-KANTOROVICH THEOREM
GRAGG, WB
TAPIA, RA
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1974, 11 (01) : 10 - 13