Next, we apply Theorem 2.2 to get some perturbation bounds for the eigenvalues of diagonalizable matrices.
By using the bounds on the eigenvalues of the normalized Laplacian matrix computed above, bounds (12) and (13) follow.
Improved bounds of the eigenvalues are obtained by choosing a decomposition of the arrowhead matrix which can provide best bounds.
However tighter bounds on the eigenvalues may be obtained by using the formulation of the structural dynamic problem.
We prove quantitative bounds on the eigenvalues of non-selfadjoint unbounded operators obtained from selfadjoint operators by a perturbation that is relatively-Schatten.
The Lagrangian mixing of the lowest order member of the family that is truly 3-D due to spiral arms is analyzed with linear theory, demonstrating that trajectory growth rates for the short, convective time scale are exponential and bounded by the extremal eigenvalues of the Jacobian.
We establish upper bounds for the eigenvalues of second-order and fourth-order differential equations.
Some lower bounds of the eigenvalue are obtained by using a probabilistic approach and some geometric consideration.
The eigenvalues and eigenvectors are obtained by using the eigenvalues decomposition of.
Ratio of Eigenvalues is computed by dividing the eigenvalues for the first component by the eigenvalues for the second component.
