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

被引:170
作者
DEUFLHARD, P
HEINDL, G
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D O I
10.1137/0716001
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O29 [应用数学];
学科分类号
070104 ;
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页码:1 / 10
页数:10
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共 23 条
[1]  
Bartle R G, 1955, P AMS AM MATH SOC, V6, P827
[3]  
BENISRAEL A, 1974, GENERALIZED INVERSES
[4]   ON NEWTON-LIKE METHODS [J].
DENNIS, JE .
NUMERISCHE MATHEMATIK, 1968, 11 (04) :324-&
[5]   ON KANTOROVICH HYPOTHESIS FOR NEWTONS METHOD [J].
DENNIS, JE .
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 [J].
DEUFLHARD, P .
NUMERISCHE MATHEMATIK, 1974, 22 (04) :289-315
[9]  
DEUFLHARD P, 1976, TUMMATH7627 TU MUNCH
[10]   OPTIMAL ERROR BOUNDS FOR NEWTON-KANTOROVICH THEOREM [J].
GRAGG, WB ;
TAPIA, RA .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1974, 11 (01) :10-13