Newton methods on Banach spaces with a convergence structure and applications

Computers & Mathematics with Applications - Tập 40 - Trang 37-48 - 2000
I.K. Argyros1
1Department of Mathematics, Cameron University Lawton, OK 73505, U.S.A.

Tài liệu tham khảo

Kantorovich, 1978

Argyros, 1993

Meyer, 1987, Newton's method in generalized Banach spaces, Numer. Funct. Anal. Optimiz, 9, 249, 10.1080/01630568708816234

Vandergraft, 1967, Newton's method for convex operators in partially ordered spaces, SIAM J. Numer. Anal., 4, 406, 10.1137/0704037

Argyros, 1990, The secant method in generalized Banach spaces, Appl. Math. Comp., 39, 111, 10.1016/0096-3003(90)90026-Y

Meyer, 1992, A unifying theorem for Newton's method, Numer. Funct. Anal. Optimiz., 13, 463, 10.1080/01630569208816492

Argyros, 1995, Perturbed Newton-like methods and nondifferentiable operator equations on Banach spaces with convergence structure, Southwest J. Pure Appl. Math. (SWPAM), 1, 1

Pandian, 1985, A convergence test and component-wise error estimates for Newton-type method, SIAM J. Numer. Anal., 22, 779, 10.1137/0722047

Zabrejko, 1987, The majorant method in the theory of Newton-Kantorovich approximations and the Ptak error estimates, Numer. Funct. Anal. Optimiz., 9, 671, 10.1080/01630568708816254

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Computers & Mathematics with Applications

Tập 40

37-48

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