A note on the comparison of the Kantorovich and Moore theorems

DOI10.1016/0362-546X(90)90159-EzbMath0727.65045OpenAlexW2083262220MaRDI QIDQ3349874

Michael A. Wolfe, Zu He Shen

Publication date: 1990

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(90)90159-e

zbMATH Keywords

interval analysisKantorovich theoremaffine invariant formfinite system of nonlinear algebraic equations

Mathematics Subject Classification ID

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

Related Items

Decompostition of arithmetic expressions to improve the behavior of interval iteration for nonlinear systems, On certain computable tests and componentwise error bounds, Slope tests for Newton-type methods, On the proofs of some statements concerning the theorems of Kantorovich, Moore, and Miranda, On the comparison of a Kantorovich-type and Moore theorems, A GENERALIZED THEOREM OF MIRANDA AND THE THEOREM OF NEWTON–KANTOROVICH

Cites Work

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• 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