A generalized multivariable Newton method

DOI10.1186/s13663-021-00700-9OpenAlexW3199802908MaRDI QIDQ2138447

Bethany I. Caldwell, C. Yalçın Kaya, Regina Sandra Burachik

Publication date: 12 May 2022

Published in: Fixed Point Theory and Algorithms for Sciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.14774

zbMATH Keywords

Newton's methodpolynomial equationsnonlinear systems of equationsfixed-point theoryfixed-point algorithms

Mathematics Subject Classification ID

Newton-type methods (49M15) Numerical computation of solutions to systems of equations (65H10) Numerical computation of roots of polynomial equations (65H04)

Uses Software

• NewtonLib
• minpack

Cites Work

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• A generalized univariate Newton method motivated by proximal regularization
• Steklov convexification and a trajectory method for global optimization of multivariate quartic polynomials
• Newton Methods for Nonlinear Problems
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• Testing Unconstrained Optimization Software
• Derivative constrained optimum broad-band antenna arrays
• Global Minimization of Normal Quartic Polynomials Based on Global Descent Directions
• A Graduate Introduction to Numerical Methods
• A method for the solution of certain non-linear problems in least squares

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