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

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1016/0096-3003(83)90001-2openalex-snapshot
An interval Newton method
inferredcites →https://doi.org/10.1016/b978-0-12-518850-0.50030-5openalex-snapshot
LOCATING SAFE STARTING REGIONS FOR ITERATIVE METHODS: A HEURISTIC ALGORITHM
inferredcites →https://doi.org/10.1016/b978-0-12-518850-0.50040-8openalex-snapshot
A GENERALIZATION OF THE KRAWCZYK-MOORE ALGORITHM
inferredcites →https://doi.org/10.1137/0714040openalex-snapshot
A Test for Existence of Solutions to Nonlinear Systems
inferredcites →https://doi.org/10.1137/0714072openalex-snapshot
Safe Starting Regions for Iterative Methods
inferredcites →https://doi.org/10.1137/0715079openalex-snapshot
A Computational Test for Convergence of Iterative Methods for Nonlinear Systems
inferredcites →https://doi.org/10.1137/0719060openalex-snapshot
A Successive Interval Test for Nonlinear Systems
inferredcites →https://doi.org/10.1137/0719061openalex-snapshot
A Note on the Moore Test for Nonlinear Systems
inferredcites →https://doi.org/10.1137/1.9780898719468openalex-snapshot
Iterative Solution of Nonlinear Equations in Several Variables
inferredcites →https://doi.org/10.2307/2004896openalex-snapshot
Computational Solution of Nonlinear Operator Equations
inferredcites →https://doi.org/10.2307/2004942openalex-snapshot
Iterative Solution of Nonlinear Equations in Several Variables

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/bf02283694openalex-snapshot
Interval Newton/generalized bisection when there are singularities near roots
inferred← citeshttps://doi.org/10.1007/bf02307383openalex-snapshot
Safe starting regions by fixed points and tightening
inferred← citeshttps://doi.org/10.1007/bf02510924openalex-snapshot
Interval solution of nonlinear equations using linear programming
inferred← citeshttps://doi.org/10.1007/bf02684395openalex-snapshot
On the moore test for coupled equations
inferred← citeshttps://doi.org/10.1007/bf03167362openalex-snapshot
Finding all solutions of a class of nonlinear equations using an improved LP test
inferred← citeshttps://doi.org/10.1016/0377-0427(90)90037-zopenalex-snapshot
An interval global optimization algorithm for a class of functions with several variables
inferred← citeshttps://doi.org/10.1016/0898-1221(93)90288-7openalex-snapshot
Nonlinear equations and optimization
inferred← citeshttps://doi.org/10.1016/b978-0-12-505630-4.50018-3openalex-snapshot
INTERVAL METHODS FOR ALGEBRAIC EQUATIONS
inferred← citeshttps://doi.org/10.1016/j.cam.2005.08.051openalex-snapshot
Existence test for solution of nonlinear systems applying affine arithmetic
inferred← citeshttps://doi.org/10.1023/a:1009956920204openalex-snapshot
Finding All Solutions of Nonlinear Equations Using Linear Combinations of Functions
inferred← citeshttps://doi.org/10.1023/a:1021938622923openalex-snapshot
Finding all Solutions of Systems of Nonlinear Equations Using the Dual Simplex Method
inferred← citeshttps://doi.org/10.1109/iscas.1997.621843openalex-snapshot
Interval solution of nonlinear equations using linear programming
inferred← citeshttps://doi.org/10.1137/0727047openalex-snapshot
Preconditioners for the Interval Gauss–Seidel Method
inferred← citeshttps://doi.org/10.1201/9780203026922.bmattopenalex-snapshot
References
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