STABILITY OF NONLINEAR COMPUTING SCHEMES

被引：7
作者：
TUCKER, TS
机构：
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 1969年 / 6卷 / 01期
关键词：
D O I：
10.1137/0706007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Extension of Mikhlin's result by deriving necessary and sufficient conditions for stability of nonlinear computing schemes; concept of stability and basic definitions; proof of theorem on stability which relates stability to conditions on Frechet derivatives of operators; as corollaries of this theorem author obtains Mikhlin's basic results and examines computing scheme of Vainikko; special cases and examples of main theorem are given.
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页码：72 / &
相关论文
共 13 条
[1]  
EHRMANN H, 1963, ENSEIGNEMENT MATH, V9, P129
[2]  
KANTOROVICH LV, 1964, FUNCTIONAL ANALYSIS
[3]  
LEES M, 1966, DISCRETE METHODS NON
[4]  
MIKHLIN S, 1964, SOVIET MATH DOKL, V5, P931
[5]  
MIKHLIN SG, 1964, DOKL AKAD NAUK SSSR+, V157, P271
[6]  
MIKHLIN SG, 1961, VESTNIK LENINGRAD U, P40
[7]   ON NONLINEAR P-COMPACT OPERATORS IN BANACH SPACE WITH APPLICATIONS TO CONSTRUCTIVE FIXED-POINT THEOREMS [J].
PETRYSHYN, WV .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1966, 15 (02) :228-+
[8]  
PETRYSHYN WV, 1967, J MATH MECH, V17, P353
[9]  
PETRYSHYN WV, 1967, ITERATIVE CONSTRUCTI
[10]  
RAVIART PA, 1967, METHODE NEWTON EQUAT
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