On Eigenvector Bounds
Copyright policy )On Eigenvector Bounds
The authors investigate the conditions under which it is possible to estimate and compute error bounds on a computed eigenvector of a finite matrix. It is shown that nontrivial error bounds on an eigenvector are computable if and only if its geometric multiplicity is one. They also provide an algorithm for the computation of these error bounds and show its effectiveness on numerical examples.
- Hamburg University of Technology Germany
Numerical computation of eigenvalues and eigenvectors of matrices, eigenvector inclusion, numerical examples, algorithm, Eigenvector inclusion, error bounds, Inequalities involving eigenvalues and eigenvectors, Multiple eigenvalue, multiple eigenvalues, nonderogatory matrix, Nonderogatory matrix
Numerical computation of eigenvalues and eigenvectors of matrices, eigenvector inclusion, numerical examples, algorithm, Eigenvector inclusion, error bounds, Inequalities involving eigenvalues and eigenvectors, Multiple eigenvalue, multiple eigenvalues, nonderogatory matrix, Nonderogatory matrix
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