Similarity reduction of matrix over a quaternion division ring

DOI10.1016/j.laa.2007.08.003zbMath1128.15009OpenAlexW2034709533MaRDI QIDQ2459976

Zhuo-Jun Liu, Li-Ping Huang

Publication date: 9 November 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.08.003

zbMATH Keywords

similarity transformationmatrix polynomialquaternion matrixquaternion division ringcentralizable matrixcentralized Jordan canonical formquaternion Hermite matrices

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Hermitian, skew-Hermitian, and related matrices (15B57) Linear transformations, semilinear transformations (15A04) Finite-dimensional division rings (16K20) Canonical forms, reductions, classification (15A21)

Related Items (2)

Zeros, factorizations and least common multiples of quaternion polynomials ⋮ Inequalities for generalized eigenvalues of quaternion matrices

Cites Work

• Quadratic formulas for quaternions
• The similarity reduction of matrices over a skew field
• The solvability of linear matrix equations over a central simple algebra
• Wedderburn polynomials over division rings, II
• Matrix Analysis
• The quaternion matrix equation ΣA i XB i =E
• The minimal polynomial of a matrix^∗
• On left eigenvalues of a quaternionic matrix
• Zeros of quaternion polynomials
• Littlewood's algorithm and quaternion matrices
• Quaternions and matrices of quaternions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Similarity reduction of matrix over a quaternion division ring