Inequalities for generalized eigenvalues of quaternion matrices

DOI10.1007/s10998-020-00358-7zbMath1488.15038OpenAlexW3044408362MaRDI QIDQ2043723

Yan Hong, Feng Qi

Publication date: 3 August 2021

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-020-00358-7

zbMATH Keywords

eigenvalueinequalitymin-max theoremquaternion matrixgeneralized eigenvalueperturbation theorem

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Hermitian, skew-Hermitian, and related matrices (15B57) Perturbation theory of linear operators (47A55) Matrix pencils (15A22)

Related Items (1)

Determinantal inequalities of Hua-Marcus-Zhang type for quaternion matrices

Cites Work

• Extreme properties of eigenvalues of a hermitian transformation and singular values of the sum and product of linear transformations
• A note on symmetric functions of eigenvalues
• Some inequalities for generalized eigenvalues of perturbation problems on Hermitian matrices
• On interval estimates of perturbations of generalized eigenvalues for diagonalizable pairs
• A structure-preserving Jacobi algorithm for quaternion Hermitian eigenvalue problems
• Algebraic techniques for eigenvalues and eigenvectors of a split quaternion matrix in split quaternionic mechanics
• Similarity reduction of matrix over a quaternion division ring
• Similarity reduction of matrix over a quaternion division ring (Withdrawn)
• Principal submatrices. IX: Interlacing inequalities for singular values of submatrices
• Inequalities for selected eigenvalues of the product of matrices
• Matrix theory. Basic results and techniques
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