An existence and nonexistence theorem for solutions of nonlinear systems and its application to algebraic equations

DOI10.1016/0377-0427(90)90008-NzbMath0695.65032OpenAlexW1990574719MaRDI QIDQ910158

Xiaojun Chen, Tetsuro Yamamoto

Publication date: 1990

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(90)90008-n

zbMATH Keywords

nonlinear systemsnumerical exampleszeros of a polynomialKantorovich-type assumptionsnonexistence theorem

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Numerical computation of solutions to single equations (65H05) Real polynomials: location of zeros (26C10) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Related Items (8)

Initial approximations in Euler-Chebyshev's method ⋮ Experiences with a method for enclosing solutions of systems of equations ⋮ Analysis of Keller-Segel model with Atangana-Baleanu fractional derivative ⋮ A new numerical scheme applied on re-visited nonlinear model of predator-prey based on derivative with non-local and non-singular kernel ⋮ UNIQUENESS OF THE SOLUTION OF A NONLINEAR ALGEBRAIC SYSTEM ⋮ Numerical analysis for the Klein-Gordon equation with mass parameter ⋮ Numerical analysis of coupled fractional differential equations with Atangana-Baleanu fractional derivative ⋮ Improvement of a convergence condition for Durand-Kerner iteration

Cites Work

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• Nichtlineare Majoranten beim Verfahren der schrittweisen Näherung
• Componentwise inclusion and exclusion sets for solutions of quadratic equations in finite dimensional spaces
• Error bounds for computed eigenvalues and eigenvectors. II
• Error bounds for computed eigenvalues and eigenvectors
• Ein Gesamtschrittverfahren zur Berechnung der Nullstellen von Polynomen
• Error bounds for approximate solutions of systems of equations
• Iteration Methods for Finding all Zeros of a Polynomial Simultaneously
• Optimal Error Bounds for the Newton–Kantorovich Theorem
• Error Bounds for Zeros of a Polynomial Based Upon Gerschgorin's Theorems

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