Quadratically convergent method for simultaneously approaching the roots of polynomial solutions of a class of differential equations: Application to orthogonal polynomials

DOI10.1023/A:1014079708527zbMath0992.65046MaRDI QIDQ5959256

Maria Cristina Recchioni

Publication date: 26 March 2002

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

algorithmconvergencecomparison of methodseigenvaluesJacobi matricesorthogonal polynomialMagnus' conjecturesecond-order linear homogeneous ordinary differential equationszeros of polynomial solutions

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Numerical computation of solutions to single equations (65H05) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05)

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