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Convergence Rate of an Iterative Method for a Nonlinear Matrix Equation

✍ Scribed by Guo, Chun-Hua

Book ID
118215972
Publisher
Society for Industrial and Applied Mathematics
Year
2001
Tongue
English
Weight
130 KB
Volume
23
Category
Article
ISSN
0895-4798

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x,,, -J, m = 1, 2, 3 . . be an iteration method for solving the nonlinear problem F(X) = 0, where F(X) and its derivatives possess all of the properties required by T(x,,,). Then ifit can be established thatfor the problem at hand jlF(~,+ 1)i/ < &,, llF(x& V m > M,, (M, < co) and 0 < &,, < 1, dejini