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Monotonically convergent iterative methods for nonlinear systems of equations

โœ Scribed by Hermann Schomberg


Publisher
Springer-Verlag
Year
1979
Tongue
English
Weight
374 KB
Volume
32
Category
Article
ISSN
0029-599X

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Alternative convergence criteria for ite
โœ Hamilton A. Chase ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 877 KB

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