A residual recurrence for Halley's method for the matrix \(p\)th root

DOI10.1016/j.laa.2009.12.035zbMath1190.65070OpenAlexW2074942215MaRDI QIDQ967508

Minghua Lin

Publication date: 29 April 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.12.035

zbMATH Keywords

convergenceHalley's methodcoefficientsLeibniz formularesidual relation\(p\)th root of a matrix

Mathematics Subject Classification ID

Related Items (7)

On a new family of high‐order iterative methods for the matrix pth root ⋮ Monotonicity and positivity of coefficients of power series expansions associated with Newton and Halley methods for the matrix \(p\)th root ⋮ Iterative methods for computing the matrix square root ⋮ Iteration functions for \(p\)th roots of complex numbers ⋮ Regions of convergence of a Padé family of iterations for the matrix sector function and the matrix \(p\)th root ⋮ The dual Padé families of iterations for the matrix \(p\)th root and the matrix \(p\)-sector function ⋮ A study of Schröder's method for the matrix \(p\)th root using power series expansions

Uses Software

• mftoolbox

Cites Work

• A Family of Rational Iterations and Its Application to the Computation of the Matrix pth Root
• A Schur–Newton Method for the Matrix \lowercase{\boldmathp}th Root and its Inverse
• Functions of Matrices

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