SHORT PROOFS OF THEOREMS OF MIRSKY AND HORN ON DIAGONALS AND EIGENVALUES OF MATRICES

Eric A Carlen; Elliott H Lieb

doi:10.13001/1081-3810.1323

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SHORT PROOFS OF THEOREMS OF MIRSKY AND HORN ON DIAGONALS AND EIGENVALUES OF MATRICES

Journal article

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SHORT PROOFS OF THEOREMS OF MIRSKY AND HORN ON DIAGONALS AND EIGENVALUES OF MATRICES

Eric A Carlen and Elliott H Lieb

The Electronic journal of linear algebra, Vol.18(1), pp.438-441

07/01/2009

DOI: https://doi.org/10.13001/1081-3810.1323

Abstract

Mathematics

Physical Sciences

Science & Technology

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.

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Title: SHORT PROOFS OF THEOREMS OF MIRSKY AND HORN ON DIAGONALS AND EIGENVALUES OF MATRICES
Creators: Eric A Carlen - Rutgers, The State University of New Jersey
Elliott H Lieb - Princeton University
Publication Details: The Electronic journal of linear algebra, Vol.18(1), pp.438-441
Date published: 07/01/2009
Publisher: INT LINEAR ALGEBRA SOC
Number of pages: 4
Grant note: DMS 06-00037 / U.S. National Science Foundation
Academic Unit: Mathematics (SAS)
Language: English
Resource Type: Journal article
Identifiers: 991031716743004646