Newton's method in generalized banach spaces
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Publication:3716222
DOI10.1080/01630568708816234zbMath0588.65040OpenAlexW2149757112MaRDI QIDQ3716222
Publication date: 1987
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630568708816234
error estimatesNewton methodconvergence conditionspartially ordered Banach spacegeneralized normsgeneralized Banach spaces
Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (15)
Newton's method on generalized Banach spaces ⋮ Concerning the convergence of inexact Newton methods ⋮ Results on Newton methods. II: Perturbed Newton-like methods in generalized Banach spaces ⋮ Improving the rate of convergence of Newton methods on Banach spaces with a convergence structure and applications ⋮ A unifying theorem for Newton's method on spaces with a convergence structure ⋮ A unifying theorem on newton's method ⋮ Iterative approximation of fixed points of contraction mappings in complex valued Banach spaces ⋮ Newton-type methods on generalized Banach spaces and applications in fractional calculus ⋮ Approximating Newton-like procedures ⋮ Unifying semilocal and local convergence of Newton's method on Banach space with a convergence structure ⋮ On the convergence of generalized Newton methods and implicit functions ⋮ The secant method in generalized Banach spaces ⋮ Newton methods on Banach spaces with a convergence structure and applications ⋮ Results on Newton methods. II: Perturbed Newton-like in generalized Banach spaces ⋮ On the Newton-Kantorovich method in \(K\)-normed spaces
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