Refined Interlacing Properties

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1992 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Matrix Analysis and Applications, volume 13, pages 239-247 (issn: 0895-4798, eissn: 1095-7162,

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Authors: R. O. Hill Jr.; Beresford N. Parlett;

doi: 10.1137/0613019

Refined Interlacing Properties

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Abstract

Interlacing results and theorems for eigenvalues due to Cauchy, Golub, and Kahan are extended and related to the last component of eigenvectors.

Keywords

Numerical computation of eigenvalues and eigenvectors of matrices, Eigenvalues, singular values, and eigenvectors, crowded interlacing, eigenvalues, Cauchy's interlace theorem, eigenvectors, Inequalities involving eigenvalues and eigenvectors

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