Document Type
Article
Department/Program
Mathematics
Journal Title
Canadian Journal of Mathematics-Journal Canadien DE Mathematiques
Pub Date
2010
Volume
62
Issue
1
First Page
109
Abstract
Let A and B be n x n complex Hermitian (or real symmetric) matrices with eigenvalues a(1) >= ... >= a(n) and b(1) >= ... >= b(n). All possible inertia values, ranks, and multiple eigenvalues of A + B are determined. Extension of the results to the sum of k matrices with k > 2 and connections of the results to other subjects such as algebraic combinatorics are also discussed.
Recommended Citation
Li, Chi-Kwong and Poon, Yiu-Tung, Sum of Hermitian Matrices with Given Eigenvalues: Inertia, Rank, and Multiple Eigenvalues (2010). Canadian Journal of Mathematics-Journal Canadien DE Mathematiques, 62(1), 109-132.
10.4153/CJM-2010-007-2
DOI
10.4153/CJM-2010-007-2
