Proof of a conjectured exponential formula
- 1 April 1986
- journal article
- research article
- Published by Taylor & Francis in Linear and Multilinear Algebra
- Vol. 19 (2) , 187-197
- https://doi.org/10.1080/03081088608817715
Abstract
A proof is outlined for the conjecture that, if A and B are Hermitian matrices, unitary matrices U and V exist such that . The proof uses results announced by B. V. Lidskii for the eigenvalues of a sum of Hermitian matrices, a theorem of A. Nudel'man and P. Svarcman on the eigenvalues of a product of unitary matrices, and certain facts from perturbation theory.Keywords
This publication has 3 references indexed in Scilit:
- Author vs. Referee: A Case History for Middle Level MathematiciansThe American Mathematical Monthly, 1983
- On the eigenvalues of a product of unitary matrices ILinear and Multilinear Algebra, 1974
- Eigenvalues of sums of Hermitian matricesPacific Journal of Mathematics, 1962