Further spectral properties of the matrix \(C^{-1}B\) with positive definite \(C\) and Hermitian \(B\) applied to wider classes of matrices \(C\) and \(B\)

DOI10.1007/s12190-015-0938-yzbMath1353.15019OpenAlexW1701945547MaRDI QIDQ330374

Ludwig Kohaupt

Publication date: 25 October 2016

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-015-0938-y

zbMATH Keywords

numerical examplestwo-sided estimatespositive definite matrixdynamical problem with non-diagonalizable system matrixHermitianprincipal eigenvectorsreal and imaginary parts of eigenvaluessquared moduli of eigenvaluesweighted norm

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57)

Cites Work

• On the vibration-suppression property and monotonicity behavior of a special weighted norm for dynamical systems \(\dot x=Ax, x(t_0)=x_0\)
• Solution of the matrix eigenvalue problem \(VA+A^{*}V=\mu V\) with applications to the study of free linear dynamical systems
• On the change in the spectral properties of a matrix under perturbations of sufficiently low rank
• Spectral properties of the matrix \(C^{-1} B\) with positive definite \(C\) and Hermitian \(B\) as well as applications
• Nonnegatively realizable spectra with two positive eigenvalues
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item