On the m-th roots of a complex matrix

DOI10.13001/1081-3810.1071zbMath0993.15014OpenAlexW2139213241MaRDI QIDQ2783426

Panayiotis J. Psarrakos

Publication date: 16 April 2002

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/122009

zbMATH Keywords

eigenvalueeigenvectorJordan canonical formmatrix polynomialsmatrix rootJordan matrixascent sequence

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21)

Related Items

The complexity of Boolean matrix root computation ⋮ Uniqueness of matrix \(m\)th root ⋮ A Taylor expansion of the square root matrix function ⋮ Solutions of the matrix equation \(p(X)=A\), with polynomial function \(p(\lambda)\) over field extensions of \(\mathbb{Q}\) ⋮ Unnamed Item ⋮ \(m\) th roots of \(H\)-selfadjoint matrices ⋮ Factorization of matrices with symmetries over function algebras ⋮ A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices ⋮ Matrix roots of eventually positive matrices ⋮ On \(p\)th roots of stochastic matrices ⋮ Real powers of bounded linear operators