Inequalities are proved connecting the eigenvalue spread of a Hermitian matix to the eigenvalue spreads of its collection of principal submatrices. An application is made to the numerical range of general matrices.
Description
The eigenvalue spreads of a hermitian matrix and its principal submatrices: Linear and Multilinear Algebra: Vol 32, No 3-4
%0 Journal Article
%1 thompson92
%A Thompson, Robert C.
%D 1992
%J Linear and Multilinear Algebra
%K eigenvalues principal.submatrix
%N 3-4
%P 327--333
%R 10.1080/03081089208818173
%T The eigenvalue spreads of a Hermitian matrix and its principal submatrices
%V 32
%X Inequalities are proved connecting the eigenvalue spread of a Hermitian matix to the eigenvalue spreads of its collection of principal submatrices. An application is made to the numerical range of general matrices.
@article{thompson92,
abstract = { Inequalities are proved connecting the eigenvalue spread of a Hermitian matix to the eigenvalue spreads of its collection of principal submatrices. An application is made to the numerical range of general matrices. },
added-at = {2017-02-01T04:53:51.000+0100},
author = {Thompson, Robert C.},
biburl = {https://www.bibsonomy.org/bibtex/218955f2d835482aca900cdfab61831f9/ytyoun},
description = {The eigenvalue spreads of a hermitian matrix and its principal submatrices: Linear and Multilinear Algebra: Vol 32, No 3-4},
doi = {10.1080/03081089208818173},
interhash = {a43b4f29722ed9af6b96f926441fc6af},
intrahash = {18955f2d835482aca900cdfab61831f9},
journal = {Linear and Multilinear Algebra},
keywords = {eigenvalues principal.submatrix},
number = {3-4},
pages = {327--333},
timestamp = {2017-02-01T07:26:35.000+0100},
title = {The eigenvalue spreads of a {Hermitian} matrix and its principal submatrices},
volume = 32,
year = 1992
}