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Publication:3219700
zbMath0556.65048MaRDI QIDQ3219700
Publication date: 1984
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Banach spacesNewton's methodError estimatesmethod of nondiscrete inductionaffine invariant Kantorovich theorem
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (14)
Optimizing the applicability of a theorem by F. Potra for Newton-like methods ⋮ Improved convergence analysis for Newton-like methods ⋮ A method for finding sharp error bounds for Newton's method under the Kantorovich assumptions ⋮ A convergence theorem for Newton-like methods in Banach spaces ⋮ New general convergence theory for iterative processes and its applications to Newton-Kantorovich type theorems ⋮ Improved error bounds for Newton-like iterations under Chen-Yamamoto conditions ⋮ Error bounds for Newton-like methods under Kantorovich type assumptions, II ⋮ New improved convergence analysis for Newton-like methods with applications ⋮ The Kantorovich theorem and interior point methods ⋮ A generalized Kantorovich theorem for nonlinear equations based on function splitting ⋮ A convergence theorem for Newton’s method in Banach spaces ⋮ Error bounds for Newton-like methods under Kantorovich type assumptions ⋮ Convergence of Newton’s method and inverse function theorem in Banach space ⋮ Historical developments in convergence analysis for Newton's and Newton-like methods
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