An algorithm to initialize the search of solutions of polynomial systems

DOI10.1016/j.camwa.2004.12.016zbMath1086.65052OpenAlexW1980780834MaRDI QIDQ815282

N. E. Zubov

Publication date: 16 February 2006

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.12.016

zbMATH Keywords

algorithmconvergencezerositerative methodinitial approximation

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) Real polynomials: location of zeros (26C10)

Related Items (1)

Inverse functions of polynomials and its applications to initialize the search of solutions of polynomials and polynomial systems

Cites Work

• Recent applications and numerical implementation of quasi-Newton methods for solving nonlinear systems of equations
• An improvement of the finite-element method for computing the electric field of waveguides with complex geometry
• Practical quasi-Newton methods for solving nonlinear systems
• Quasi-Newton Methods, Motivation and Theory
• Local results for the Gauss-Newton method on constrained rank-deficient nonlinear least squares
• Solving Real Polynomial Systems with Real Homotopies
• A Class of Methods for Solving Nonlinear Simultaneous Equations

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