Some Computable Existence, Uniqueness, and Convergence Tests for Nonlinear Systems

DOI10.1137/0722073zbMath0584.65026OpenAlexW1995786965MaRDI QIDQ3707263

J. M. Shearer, Michael A. Wolfe

Publication date: 1985

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0722073

zbMATH Keywords

convergencenumerical resultsexistenceuniquenessNewton methodssymmetric operatorinterval arithmetic tests

Mathematics Subject Classification ID

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

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Safe starting regions by fixed points and tightening ⋮ An interval global optimization algorithm for a class of functions with several variables ⋮ On the Moore test for coupled equations ⋮ Existence test for solution of nonlinear systems applying affine arithmetic ⋮ Interval solution of nonlinear equations using linear programming ⋮ Interval Newton/generalized bisection when there are singularities near roots ⋮ Finding all solutions of a class of nonlinear equations using an improved LP test ⋮ Nonlinear equations and optimization

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