Extraction of mth roots in matrix rings over fields

DOI10.1016/0024-3795(90)90279-LzbMath0709.15014MaRDI QIDQ921089

Daniel E. Otero

Publication date: 1990

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

zbMATH Keywords

matrix equationelementary divisorsirreducible factormth roots in matrix rings over fieldsprimary matrices

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Algebraic systems of matrices (15A30) Canonical forms, reductions, classification (15A21)

Related Items

Analysis of periodic linear systems over finite fields with and without Floquet transform ⋮ Efficient exhaustive listings of reversible one dimensional cellular automata ⋮ A Galois approach to \(m\)th roots of matrices with rational entries ⋮ Solutions of the matrix equation \(p(X)=A\), with polynomial function \(p(\lambda)\) over field extensions of \(\mathbb{Q}\) ⋮ Extraction of mth roots in matrix rings over fields ⋮ Unnamed Item ⋮ Extraction of \(n\)th roots of \(2 \times 2\) matrices ⋮ On the matrix equation \(f(x)=A\) ⋮ Commutators and powers of infinite unitriangular matrices. ⋮ Structure of the \(n\)th roots of a matrix

Cites Work

• On the square roots of strictly quasiaccretive complex matrices
• Extraction of mth roots in matrix rings over fields
• A Schur method for the square root of a matrix
• Roots of real matrices
• On square roots of M-matrices
• Nonnegative mth roots of nonnegative 0-symmetric idempotent matrices
• A generalization of the matrix equation \(A^ 2=J\)
• The Matrix Equation X 2 - I = 0 Over a Finite Field
• Square roots of complex matrices
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