JP Journal of Algebra, Number Theory and Applications
Volume 9, Issue 1, Pages 135 - 144
(October 2007)
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GENERALIZED SPECTRAL RELATIVE PERTURBATION BOUNDS FOR POSITIVE DEFINITE MATRICES
Shilin Zhan (P. R. China)
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Abstract: In the field of image identification and vibrancy theory, we often consider the equations for the generalized eigenvalues of matrix. We discuss perturbation questions on generalized eigenvalues of the complexpositivedefinitematrix(possiblynon-Hermitian).Somerelative perturbation bounds for generalized eigenvalues of the complex positive definite matrix are established. |
Keywords and phrases: complex positive definite matrix, generalized eigenvalue, matrix norm, relative perturbation bound. |
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