%0 Conference Paper %1 carlen2009short %A Carlen, Eric A. %A Lieb, Elliott H. %C Pensacola, Fla %D 2009 %I International Linear Algebra Society. %J The electronic journal of linear algebra %K majorization matrix %P 438-441 %T Short Proofs of Theorems of Mirsky and Horn on Diagonals and Eigenvalues of Matrices %U http://hermite.cii.fc.ul.pt/iic/ela/ela-articles/articles/vol18_pp438-441.pdf %V 18 %X A theorem of Mirsky provides necessary and sufficient conditions for the existence of an N-square complex matrix with prescribed diagonal entries and prescribed eigenvalues. A simple inductive proof of this theorem is given.

@inproceedings{carlen2009short, abstract = {A theorem of Mirsky provides necessary and sufficient conditions for the existence of an N-square complex matrix with prescribed diagonal entries and prescribed eigenvalues. A simple inductive proof of this theorem is given.}, added-at = {2013-12-21T20:46:00.000+0100}, address = {Pensacola, Fla}, author = {Carlen, Eric A. and Lieb, Elliott H.}, biburl = {https://www.bibsonomy.org/bibtex/22f6020f8385fe7d7f32a048b792e8f1b/ytyoun}, interhash = {0df7591ce6a34616bee281d23481b745}, intrahash = {2f6020f8385fe7d7f32a048b792e8f1b}, journal = {The electronic journal of linear algebra}, keywords = {majorization matrix}, month = {July}, pages = {438-441}, publisher = {International Linear Algebra Society.}, timestamp = {2013-12-23T01:38:26.000+0100}, title = {Short Proofs of Theorems of Mirsky and Horn on Diagonals and Eigenvalues of Matrices}, url = {http://hermite.cii.fc.ul.pt/iic/ela/ela-articles/articles/vol18_pp438-441.pdf}, volume = 18, year = 2009 }