%0 Journal Article %1 li98 %A Li, Chi-Kwong %A Mathias, Roy %D 1998 %J Linear and Multilinear Algebra %K eigenvalues interlacing schur %N 4 %P 373--382 %R 10.1080/03081089808818572 %T Some interlacing theorems on the Schur complement %V 44 %X We give a short proof of the interlacing theorem on the eigenvalues of Schur complements of Hermitian matrices due to Hu and Smith, and extend the technique to prove an interlacing theorem on the singular values of Schur complements of rectangular complex matrices.

@article{li98, abstract = { We give a short proof of the interlacing theorem on the eigenvalues of Schur complements of Hermitian matrices due to Hu and Smith, and extend the technique to prove an interlacing theorem on the singular values of Schur complements of rectangular complex matrices. }, added-at = {2017-01-17T08:10:13.000+0100}, author = {Li, Chi-Kwong and Mathias, Roy}, biburl = {https://www.bibsonomy.org/bibtex/2ba5fec3477bbd394e9178d4350981679/ytyoun}, description = {Some interlacing theorems on the schur complement: Linear and Multilinear Algebra: Vol 44, No 4}, doi = {10.1080/03081089808818572}, interhash = {77393d96e270568d807430fcb5d89f7c}, intrahash = {ba5fec3477bbd394e9178d4350981679}, journal = {Linear and Multilinear Algebra}, keywords = {eigenvalues interlacing schur}, number = 4, pages = {373--382}, timestamp = {2017-02-01T04:34:35.000+0100}, title = {Some interlacing theorems on the {Schur} complement}, volume = 44, year = 1998 }