Universal similarity factorization equalities for commutative quaternions and their matrices

DOI10.1080/03081087.2018.1439878zbMath1411.15024OpenAlexW2789811944MaRDI QIDQ4632256

Murat Tosun, Hidayet Huda Kosal

Publication date: 29 April 2019

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

Full work available at URL: https://doi.org/10.1080/03081087.2018.1439878

zbMATH Keywords

real matrix representationsuniversal similarity factorization equalitycommutative quaternions and their matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (10)

Generalized commutative quaternions of the Fibonacci type ⋮ Construction of commutative number systems ⋮ Algebraic algorithms for eigen-problems of a reduced biquaternion matrix and applications ⋮ On singular value decomposition and generalized inverse of a commutative quaternion matrix and applications ⋮ The \(\eta\)-(anti-)Hermitian solution to a constrained Sylvester-type generalized commutative quaternion matrix equation ⋮ Two novel numerical methods for the diagonalisation of a reduced biquaternion matrix in the reduced biquaternionic algebra ⋮ Algebraic methods for equality constrained least squares problems in commutative quaternionic theory ⋮ Euler and De Moivre’s Formulas for Fundamental Matrices of Commutative Quaternions ⋮ Unnamed Item ⋮ Determinantal inequalities of Hua-Marcus-Zhang type for quaternion matrices

Cites Work

• Commutative quaternion matrices
• Reduced biquaternion canonical transform, convolution and correlation
• An introduction to commutative quaternions
• Consimilarity of Commutative Quaternion Matrices
• Differential geometry of quaternionic manifolds
• Commutative Reduced Biquaternions and Their Fourier Transform for Signal and Image Processing Applications
• Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices
• Unnamed Item

This page was built for publication: Universal similarity factorization equalities for commutative quaternions and their matrices