%0 Journal Article %1 dickinson80 %A Dickinson, B.W. %A Steiglitz, K. %D 1980 %J Automatic Control, IEEE Transactions on %K eigenvalues linear.algebra matrix %N 2 %P 284--285 %R 10.1109/TAC.1980.1102293 %T Eigenvalues of Symmetric Matrices: System Theory Conditions for Distinctness %V 25 %X We derive the interlacing properties of the eigenvalues of a symmetric matrix with those of its largest principal submatrix using root-locus ideas. We then give a sufficient condition for distinctness of eigenvalues based on the minimality of an associated linear system.

@article{dickinson80, abstract = {We derive the interlacing properties of the eigenvalues of a symmetric matrix with those of its largest principal submatrix using root-locus ideas. We then give a sufficient condition for distinctness of eigenvalues based on the minimality of an associated linear system.}, added-at = {2015-09-17T10:37:54.000+0200}, author = {Dickinson, B.W. and Steiglitz, K.}, biburl = {https://www.bibsonomy.org/bibtex/2e9b803d9f642934dd44ea24c56349f38/ytyoun}, doi = {10.1109/TAC.1980.1102293}, interhash = {b804300b31e8c13a49579fcdeaa0cd06}, intrahash = {e9b803d9f642934dd44ea24c56349f38}, issn = {0018-9286}, journal = {Automatic Control, IEEE Transactions on}, keywords = {eigenvalues linear.algebra matrix}, month = apr, number = 2, pages = {284--285}, timestamp = {2016-06-12T12:58:53.000+0200}, title = {Eigenvalues of Symmetric Matrices: System Theory Conditions for Distinctness}, volume = 25, year = 1980 }