Distribution and estimation for eigenvalues of real quaternion matrices

DOI10.1016/J.CAMWA.2007.07.013zbMath1144.15009OpenAlexW2078226832MaRDI QIDQ2483070

Yanyan Li

Publication date: 5 May 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.07.013

zbMATH Keywords

Schwarz's inequalitydistribution and estimation of eigenvaluesgeneralized Gerschgorin's theoremgeneralized Rayleigh divisionreal quaternion matrix

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (10)

Bounds for eigenvalues of matrix polynomials over quaternion division algebra ⋮ Bounds for the right spectral radius of quaternionic matrices ⋮ The estimation of eigenvalues of sum, difference, and tensor product of matrices over quaternion division algebra ⋮ Explicit solutions to the quaternion matrix equationsX−AXF=CandX−A[XtildeF=C] ⋮ Spectra of quaternion unit gain graphs ⋮ 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

• A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity
• The general solution to a system of real quaternion matrix equations
• A system of four matrix equations over von Neumann regular rings and its applications
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