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Convergence of an iterative method for solving Sylvester matrix equations over reflexive matrices

โœ Scribed by Dehghan, M.; Hajarian, M.

Book ID
117990408
Publisher
SAGE Publications
Year
2010
Tongue
English
Weight
186 KB
Volume
17
Category
Article
ISSN
1077-5463

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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