The complete equivalence canonical form of four matrices over an arbitrary division ring

DOI10.1080/03081087.2017.1284740zbMath1386.15029arXiv1608.06046OpenAlexW3101245612MaRDI QIDQ4640051

Yang Zhang, Zhuo-Heng He, Qing-Wen Wang

Publication date: 16 May 2018

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

Full work available at URL: https://arxiv.org/abs/1608.06046

zbMATH Keywords

rankdivision ringmatrix decompositiongeneralized Sylvester matrix equationsHermite matrix

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Hermitian, skew-Hermitian, and related matrices (15B57) Vector spaces, linear dependence, rank, lineability (15A03) Canonical forms, reductions, classification (15A21)

Related Items (9)

Unnamed Item ⋮ \( \eta \)-Hermitian solution to a system of quaternion matrix equations ⋮ A simultaneous decomposition for seven matrices with applications ⋮ Structure, properties and applications of some simultaneous decompositions for quaternion matrices involving \(\phi\)-skew-Hermicity ⋮ Determinantal representations of solutions and Hermitian solutions to some system of two-sided quaternion matrix equations ⋮ Cramer's rules for Sylvester quaternion matrix equation and its special cases ⋮ A quaternion matrix equation with two different restrictions ⋮ On Hermitian solutions of the reduced biquaternion matrix equation (AXB,CXD) = (E,G) ⋮ Decomposition for a quaternion tensor triplet with applications

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