- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- UBC Theses and Dissertations /
- Interlacing inequalities for eigenvalues of sums of...
Open Collections
UBC Theses and Dissertations
UBC Theses and Dissertations
Interlacing inequalities for eigenvalues of sums of matrices Afari, Ernest
Abstract
We begin with some historical remarks in section 1, where we present the basic interlacing inequalities. In the rest of the thesis we discuss R.C.Thompson's contributions to the subject. His main concern is to extend the inequalities to include more than just one of the (n — 1) x (n — 1) principal submatrices. It is clear that for each such submatrix, the interlacing inequalities are valid, but the resulting set of inequalities is not sufficient to guarantee the existence of a matrix whose principal submatrices have eigenvalues satisfying these inequalities. We have included two examples to show that Thompson's inequalities are necessary.
Item Metadata
Title |
Interlacing inequalities for eigenvalues of sums of matrices
|
Creator | |
Publisher |
University of British Columbia
|
Date Issued |
1989
|
Description |
We begin with some historical remarks in section 1, where we present the basic interlacing inequalities.
In the rest of the thesis we discuss R.C.Thompson's contributions to the subject. His main concern is to extend the inequalities to include more than just one of the (n — 1) x (n — 1) principal submatrices. It is clear that for each such submatrix, the interlacing inequalities are valid, but the resulting set of inequalities is not sufficient to guarantee the existence of a matrix whose principal submatrices have eigenvalues satisfying these inequalities.
We have included two examples to show that Thompson's inequalities are necessary.
|
Genre | |
Type | |
Language |
eng
|
Date Available |
2010-08-14
|
Provider |
Vancouver : University of British Columbia Library
|
Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
|
DOI |
10.14288/1.0080411
|
URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
|
Campus | |
Scholarly Level |
Graduate
|
Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.