A GENERALIZED THEOREM OF MIRANDA AND THE THEOREM OF NEWTON–KANTOROVICH

DOI10.1081/NFA-120006697zbMath1012.65045OpenAlexW2044569041MaRDI QIDQ3148354

Jan Mayer

Publication date: 3 June 2003

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/nfa-120006697

zbMATH Keywords

systems of nonlinear equationsNewton-Kantorovich theoremMiranda theorem

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items (4)

On the comparison of a weak variant of the Newton--Kantorovich and Miranda theorems. ⋮ A fixed point theorem based on Miranda ⋮ The Kantorovich theorem and interior point methods ⋮ On Existence Theorems for Solutions of Non-Linear Systems

Cites Work

• A note on the comparison of the Kantorovich and Moore theorems
• A Comparison of the Existence Theorems of Kantorovich and Moore
• A Simple Test for Accuracy of Approximate Solutions to Nonlinear (or Linear) Systems
• A Test for Existence of Solutions to Nonlinear Systems
• Affine Invariant Convergence Theorems for Newton’s Method and Extensions to Related Methods

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