Symmetric functions and root-finding algorithms

DOI10.1016/j.aam.2004.05.005zbMath1061.05098OpenAlexW2023630479MaRDI QIDQ1775732

Bahman Kalantari, Yi Jin

Publication date: 4 May 2005

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2004.05.005

zbMATH Keywords

Schur functionsSymmetric functionsIteration functionsKönig's familyRoot-findingSchröder's algorithms

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05)

Related Items (1)

A combinatorial construction of high order algorithms for finding polynomial roots of known multiplicity

Uses Software

• SF

Cites Work

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• Extraneous fixed points, basin boundaries and chaotic dynamics for Schröder and König rational iteration functions
• Families of rational maps and iterative root-finding algorithms
• A basic family of iteration functions for polynomial root finding and its characterizations
• On extraneous fixed-points of the basic family of iteration functions
• Newton's method and generation of a determinantal family of iteration functions
• The fundamental theorem of algebra and complexity theory
• Accelerated Convergence in Newton’s Method
• Solving a Polynomial Equation: Some History and Recent Progress
• On K nig's root-finding algorithms*
• Accelerated Convergence in Newton’s Method
• Generalization of Taylor's theorem and Newton's method via a new family of determinantal interpolation formulas and its applications

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