On matrix equivalence and matrix equations

DOI10.1016/0024-3795(79)90044-2zbMath0419.15009OpenAlexW2059018046MaRDI QIDQ1132147

William H. Gustafson, Julius M. Zelmanowitz

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0024-3795(79)90044-2

zbMATH Keywords

matrix equivalence and matrix equations

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24)

Related Items

A New Simultaneous Decomposition of a Matrix Quaternity Over an Arbitrary Division Ring with Applications ⋮ Unnamed Item ⋮ The extension of Roth's theorem for matrix equations over a ring ⋮ The matrix equation \(X-AXB=C\) and an analogue of Roth's theorem ⋮ Roth's theorems and decomposition of modules ⋮ The matrix linear unilateral and bilateral equations with two variables over commutative rings ⋮ Matrix equivalence and isomorphism of modules ⋮ Consistency for bi(skew)symmetric solutions to systems of generalized Sylvester equations over a finite central algebra ⋮ An equivalence canonical form of a matrix triplet over an arbitrary division ring with applications ⋮ A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity ⋮ Roth's theorems for sets of matrices

Cites Work

• Roth's theorems over commutative rings
• Roth's Equivalence Problem in Unit Regular Rings
• The Equations AX - YB = C and AX - XB = C in Matrices
• Unnamed Item
• Unnamed Item