The estimation of eigenvalues of sum, difference, and tensor product of matrices over quaternion division algebra

DOI10.1016/j.laa.2008.02.008zbMath1142.15013OpenAlexW2033642719MaRDI QIDQ924373

Xiangping Chen, Junliang Wu, Li-Min Zou, Sheng Jie Li

Publication date: 15 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.02.008

zbMATH Keywords

tensor producteigenvalue inequalitiesquaternion division algebraBrauer theoremCassini theoremself-conjugate quaternion matrices

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Inequalities involving eigenvalues and eigenvectors (15A42) Multilinear algebra, tensor calculus (15A69) Canonical forms, reductions, classification (15A21)

Related Items (5)

Estimate for the lower bound of rank and the upper bound of eigenvalues norms' sum of given quaternion matrix ⋮ A note on quaternion matrices and split quaternion matrix pencils ⋮ Location for the right eigenvalues of quaternion matrices ⋮ Numerical methods for determine the equilibrium point's stability of multidimensional nonlinear dynamic system ⋮ Localization theorems for matrices and bounds for the zeros of polynomials over quaternion division algebra

Cites Work

• Geršgorin type theorems for quaternionic matrices
• On two questions about quaternion matrices
• A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity
• The structures of groups of order 2**3p**2
• Generalized diagonalization of matrices over quaternion field
• Distribution and estimation for eigenvalues of real quaternion matrices
• The general solution to a system of real quaternion matrix equations
• On cubics: A survey
• On left eigenvalues of a quaternionic matrix
• Quaternions and matrices of quaternions
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