On the comparison of a Kantorovich-type and Moore theorems

DOI10.1007/S12190-008-0102-ZzbMath1187.65053OpenAlexW2055488138MaRDI QIDQ1032537

Ioannis K. Argyros

Publication date: 26 October 2009

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-008-0102-z

zbMATH Keywords

Newton's methodnonlinear equationsKantorovich theoremMoore theorem

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Interval and finite arithmetic (65G30)

Cites Work

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• The Krawczyk operator and Kantorovich's theorem
• A note on the comparison of the Kantorovich and Moore theorems
• A Comparison of the Existence Theorems of Kantorovich and Moore
• 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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