JORDAN CANONICAL FORM OF A PARTITIONED COMPLEX MATRIX AND ITS APPLICATION TO REAL QUATERNION MATRICES

DOI10.1081/AGB-100002394zbMath0999.15015MaRDI QIDQ2747148

Fuzhen Zhang, Yi-Min Wei

Publication date: 28 November 2002

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

Jordan canonical formquaternion matrix

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Canonical forms, reductions, classification (15A21)

Related Items (15)

Solving quaternion ordinary differential equations with two-sided coefficients ⋮ Linear quaternion-valued difference equations: Representation of solutions, controllability, and observability ⋮ $m$th roots of $H$-selfadjoint matrices over the quaternions ⋮ Geršgorin type theorems for quaternionic matrices ⋮ Computing partial quaternion eigenpairs with quaternion shift ⋮ Minimax Principle for Eigenvalues of Dual Quaternion Hermitian Matrices and Generalized Inverses of Dual Quaternion Matrices ⋮ Polar decompositions of quaternion matrices in indefinite inner product spaces ⋮ Factorization of matrices of quaternions ⋮ Basic classes of matrices with respect to quaternionic indefinite inner product spaces ⋮ Quaternion-valued linear impulsive differential equations ⋮ On the second Lyapunov method for quaternionic differential equations ⋮ Floquet theory for quaternion-valued differential equations ⋮ On the stability of linear quaternion-valued differential equations ⋮ A new quaternion hyper-complex space with hyper argument and basic functions via quaternion dynamic equations ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Simultaneous equations models in applied search theory
• Quaternionic Eigenvalues
• Matrix Analysis
• The numerical range of normal matrices with quaternion entries
• Similarity of matrices in which the elements are real quaternions
• Some Theorems On Matrices With Real Quaternion Elements
• Quaternions and matrices of quaternions

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