Consimilarity of Commutative Quaternion Matrices

DOI10.18514/MMN.2015.1421zbMath1349.15081MaRDI QIDQ2803095

Mahmut Akyigit, Murat Tosun, Hidayet Huda Kosal

Publication date: 3 May 2016

Published in: Miskolc Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

coneigenvalueconsimilarityquaternion matrix equationsconeigenvectorcommutative quaternion matrix

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Commutativity of matrices (15A27)

Related Items (9)

Generalized commutative quaternions of the Fibonacci type ⋮ Algebraic algorithms for eigen-problems of a reduced biquaternion matrix and applications ⋮ Matrices over Quaternion Algebras ⋮ 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 ⋮ Universal similarity factorization equalities for commutative quaternions and their matrices ⋮ Euler and De Moivre’s Formulas for Fundamental Matrices of Commutative Quaternions ⋮ Unnamed Item

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