Computation of roots of real and complex matrices

DOI10.1016/0096-3003(85)90029-3zbMath0579.65036OpenAlexW2081829404MaRDI QIDQ1067358

J. Leyva-Ramos, Eugene D. Denman

Publication date: 1985

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(85)90029-3

zbMATH Keywords

numerical examplesNewton methodspectral decompositionsign functionHoskins-Walton methodr-th root of a matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Determinants, permanents, traces, other special matrix functions (15A15) Matrix equations and identities (15A24)

Related Items (3)

Fast and stable algorithms for computing the principal \(n\)th root of a complex matrix and the matrix sector function ⋮ Rectangular and polar representations of a complex matrix ⋮ On monotone Markov chains and properties of monotone matrix roots

Cites Work

• Unnamed Item
• Roots of real matrices
• Spectral decomposition of a matrix using the generalized sign matrix
• The matrix sign function and computations in systems
• A faster, more stable method for comuting the pth roots of positive definite matrices
• A computer-aided method for the factorization of matrix polynomials†
• Linear model reduction and solution of the algebraic Riccati equation by use of the sign function†

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