A binary powering Schur algorithm for computing primary matrix roots

DOI10.1007/s11075-009-9357-1zbMath1202.65053OpenAlexW2029063450MaRDI QIDQ5962185

Federico Greco, Bruno Iannazzo

Publication date: 21 September 2010

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

Full work available at URL: https://doi.org/10.1007/s11075-009-9357-1

zbMATH Keywords

algorithmmatrix functionsbinary powering techniquematrix \(p\)th rootSchur method

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Matrix exponential and similar functions of matrices (15A16)

Related Items

Computing the Square Root of a Low-Rank Perturbation of the Scaled Identity Matrix ⋮ Computing primary solutions of equations involving primary matrix functions ⋮ Monotonicity and positivity of coefficients of power series expansions associated with Newton and Halley methods for the matrix \(p\)th root ⋮ Approximation of the \(p\)th roots of a matrix by using trapezoid rule ⋮ Substitution algorithms for rational matrix equations ⋮ On \(p\)th roots of stochastic matrices ⋮ A study of Schröder's method for the matrix \(p\)th root using power series expansions ⋮ Testing Matrix Function Algorithms Using Identities ⋮ Explicit convergence regions of Newton's method and Chebyshev's method for the matrix \(p\)th root

Uses Software

• mctoolbox
• mftoolbox

Cites Work

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