Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
A Test for Existence of Solutions to Nonlinear Systems - MaRDI portal

A Test for Existence of Solutions to Nonlinear Systems

From MaRDI portal
Publication:4140294

DOI10.1137/0714040zbMath0365.65034OpenAlexW2070381457MaRDI QIDQ4140294

No author found.

Publication date: 1977

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

Full work available at URL: https://semanticscholar.org/paper/c8d8c6aaf1cb9c5a416538e9fb8bda1e0cbaf74c




Related Items (84)

Existence of solutions of piecewise differentiable systems of equationsA new exclusion test.Parameterization of unstable manifolds for DDEs: formal series solutions and validated error boundsSafe starting regions by fixed points and tighteningA second-order pruning step for verified global optimizationA heuristic method for certifying isolated zeros of polynomial systemsComputing slope enclosures by exploiting a unique point of inflectionVerified Error Bounds for All Eigenvalues and Eigenvectors of a MatrixApplication of the Krawczyk-Moore-Jones algorithm to electric circuit analysis and its further developmentFast verified solutions of linear systemsNumerical existence proof of five solutions for certain two-transistor circuit equationsComputer algebra for guaranteed accuracy. How does it help?The Krawczyk operator and Kantorovich's theoremA parallel interval method implementation for global optimization using dynamic load balancingExperiences with a method for enclosing solutions of systems of equationsCertified numerical real root isolation for bivariate nonlinear systemsValidated numerics for equilibria of analytic vector fields: Invariant manifolds and connecting orbitsOn computer-assisted proofs for solutions of linear complementarity problemsExistence test for solution of nonlinear systems applying affine arithmeticProving the existence of zeros using the topological degree and interval arithmeticCertifying solutions to overdetermined and singular polynomial systems over \(\mathbb{Q}\)Validation and enclosure of solutions of linear complementarity problemsA class of componentwise Krawczyk-Moore type iteration methodsGeneralized iteration methods for bounds of the solution of fixed point operator-equationsImproved iteration schemes for validation algorithms for dense and sparse nonlinear systemsA method for global minimization of functions using the Krawczyk operatorA rigorous implicit \(C^1\) Chebyshev integrator for delay equationsVerified error bounds for isolated singular solutions of polynomial systems: case of breadth oneA Theory of Interval IterationInterval solution of nonlinear equations using linear programmingNonsmooth exclusion test for finding all solutions of nonlinear equationsOrder-convergence and iterative interval methodsVerifyRealRoots: a Matlab package for computing verified real solutions of polynomials systems of equations and inequalitiesA functional analytic approach to validated numerics for eigenvalues of delay equationsAn algorithm for isolating the real solutions of piecewise algebraic curvesComputing Galois groups of Fano problemsGlobal optimization using interval analysis - the multi-dimensional caseFast computation of error bounds for all eigenpairs of a Hermitian and all singular pairs of a rectangular matrix with emphasis on eigen- and singular value clustersInterval extensions and interval iterationsInterval boxes of solutions of nonlinear systemsIGAOR and multisplitting IGAOR methods for linear complementarity problemsA method to find all the roots of the system of nonlinear algebraic equations based on the Krawczyk operatorE-methods for fixed point equations f(x)=xA proof of Jones' conjectureInverting an interval Hessian of a factorable functionSolving nonlinear systems with least significant bit accuracySolution of finite systems of equations by interval iterationVerified error bounds for solutions of Sylvester matrix equationsA heuristic verification of the degree of the approximate GCD of two univariate polynomialsInterval algorithm for absolute value equationsEstimation of the sensitivity of linear and nonlinear algebraic problemsWhat can interval analysis do for global optimization?A modification of krawczyk's algorithmVerified error bounds for eigenvalues of geometric multiplicity \(q\) and corresponding invariant subspacesA verified inexact implicit Runge-Kutta method for nonsmooth ODEsOn the proofs of some statements concerning the theorems of Kantorovich, Moore, and MirandaA parser for the interval evaluation of analytical functions and its application to engineering problemsFinding all solutions of a class of nonlinear equations using an improved LP testA Finite Algorithm for Almost Linear Complementarity ProblemsA note on the comparison of the Kantorovich and Moore theoremsMathematically rigorous global optimization in floating-point arithmeticRigorous Sensitivity Analysis for Systems of Linear and Nonlinear EquationsA dynamical interval Newton methodVerified error bounds for multiple roots of systems of nonlinear equationsInterval forms of Newtons methodInterval iterative algorithm for computing the piecewise algebraic varietyA framework for existence tests based on the topological degree and homotopyNonlinear equations and optimizationInterval analytic treatment of convex programming problemsA numerical proof algorithm for the non-existence of solutions to elliptic boundary value problemsVerified error bounds for singular solutions of nonlinear systemsSpatial relative equilibria and periodic solutions of the Coulomb \((n+1)\)-body problemInterval expansion method for nonlinear equation in several variablesCentered forms and interval operatorsAn improved verification algorithm for nonlinear systems of equations based on Krawczyk operatorOn the comparison of a Kantorovich-type and Moore theoremsMethod for localizing the zeros of analytic functions based on the Krawczyk operatorCentral configurations of the five-body problem with equal massesSolving Linear Systems with Polynomial Parameter Dependency with Application to the Verified Solution of Problems in Structural MechanicsAn interval version of Chebyshev's method for nonlinear operator equationsNonlinear optimization exclusion tests for finding all solutions of nonlinear equationsInterval iterations for including a set of solutionsOn some classical existence theoremsA GENERALIZED THEOREM OF MIRANDA AND THE THEOREM OF NEWTON–KANTOROVICH




This page was built for publication: A Test for Existence of Solutions to Nonlinear Systems