Structure of the \(n\)th roots of a matrix

DOI10.1016/0024-3795(93)90127-AzbMath0777.15005OpenAlexW2162306265MaRDI QIDQ1260958

Gabriëlle ten Have

Publication date: 29 August 1993

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

Full work available at URL: https://doi.org/10.1016/0024-3795(93)90127-a

zbMATH Keywords

matrix equationssimilarity class\(n\)th rootnon-singular matrix

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (5)

Solutions of the matrix equation \(p(X)=A\), with polynomial function \(p(\lambda)\) over field extensions of \(\mathbb{Q}\) ⋮ \(m\) th roots of \(H\)-selfadjoint matrices ⋮ Factorization of matrices with symmetries over function algebras ⋮ Radicability condition on GLn(D) ⋮ On \(p\)th roots of stochastic matrices

Cites Work

• Extraction of mth roots in matrix rings over fields
• Inertia characteristics of self-adjoint matrix polynomials
• Matrix solutions of the equation \(X^ n=A\)
• On the matrix equation \(f(x)=A\)
• A correspondence between classes of ideals and classes of matrices
• Unnamed Item
• Unnamed Item

This page was built for publication: Structure of the \(n\)th roots of a matrix