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Algorithmic error estimation for approximate solutions of nonlinear systems of equations

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What this work says

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

inferredcites →https://doi.org/10.1007/978-3-322-86000-2openalex-snapshot
Numerische und graphische Methoden der angewandten Mathematik
inferredcites →https://doi.org/10.1007/978-3-642-88065-0openalex-snapshot
Reelle Funktionen
inferredcites →https://doi.org/10.1007/978-3-663-11121-4openalex-snapshot
Praktische Mathematik
inferredcites →https://doi.org/10.2307/2310749openalex-snapshot
Mathematical Analysis.

What points at this work

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

inferred← citeshttps://doi.org/10.1002/asjc.174openalex-snapshot
A generalization of the Poincaré‐Miranda theorem with an application to the controllability of nonlinear repetitive processes
inferred← citeshttps://doi.org/10.1002/pamm.200610308openalex-snapshot
A Fixed Point Theorem in Infinite‐Dimensional Spaces
inferred← citeshttps://doi.org/10.1007/978-3-642-13473-9_6openalex-snapshot
Systeme nichtlinearer Gleichungen
inferred← citeshttps://doi.org/10.1007/978-3-642-61074-5_18openalex-snapshot
Boundary Value Problems for Ordinary Differential Equations
inferred← citeshttps://doi.org/10.1007/978-3-642-61074-5_2openalex-snapshot
Nonlinear Equations in One Variable
inferred← citeshttps://doi.org/10.1007/978-3-642-80043-6_18openalex-snapshot
Boundary Value Problems for Ordinary Differential Equations
inferred← citeshttps://doi.org/10.1007/978-3-642-80043-6_2openalex-snapshot
Nonlinear Equations in One Variable
inferred← citeshttps://doi.org/10.1007/978-3-7091-6280-4_9openalex-snapshot
Solution of Systems of Polynomial Equations by Using Bernstein Expansion
inferred← citeshttps://doi.org/10.1007/bf02243877openalex-snapshot
On certain computable tests and componentwise error bounds
inferred← citeshttps://doi.org/10.1016/0098-1354(88)80014-0openalex-snapshot
An implementation of quasi-newton methods for solving sets of nonlinear equations
inferred← citeshttps://doi.org/10.1016/0098-1354(94)80034-0openalex-snapshot
A hybrid continuation algorithm to solve algebraic nonlinear equations
inferred← citeshttps://doi.org/10.1016/j.jsc.2022.04.005openalex-snapshot
Certified numerical real root isolation for bivariate nonlinear systems
inferred← citeshttps://doi.org/10.1090/s0002-9939-1989-0993760-8openalex-snapshot
A Short Proof and a Generalization of Miranda's Existence Theorem
inferred← citeshttps://doi.org/10.1109/nds.2009.5191523openalex-snapshot
A generalization of the Poincaré-Miranda theorem with an application to the controllability of nonlinear repetitive processes
inferred← citeshttps://doi.org/10.1137/0717044openalex-snapshot
A Simple Test for Accuracy of Approximate Solutions to Nonlinear (or Linear) Systems
inferred← citeshttps://doi.org/10.1137/0718043openalex-snapshot
Perturbation Bounds for Nonlinear Equations
inferred← citeshttps://doi.org/10.1137/0719062openalex-snapshot
Solving Interval Linear Equations
inferred← citeshttps://doi.org/10.1145/3326229.3326237openalex-snapshot
Certified Numerical Real Root Isolation for Bivariate Polynomial Systems
inferred← citeshttps://doi.org/10.1145/3326229.3326270openalex-snapshot
Effective Subdivision Algorithm for Isolating Zeros of Real Systems of Equations, with Complexity Analysis
inferred← citeshttps://doi.org/10.1155/2007/78706openalex-snapshot
A Fixed Point Theorem Based on Miranda
inferred← citeshttps://doi.org/10.33044/revuma.v60n1a06openalex-snapshot
The multivariate bisection algorithm
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