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MATRIX RECONSTRUCTION WITH PRESCRIBED DIAGONAL ELEMENTS, EIGENVALUES, AND SINGULAR VALUES DRAFT AS OF April 30, 2013
| Content Provider | Semantic Scholar |
|---|---|
| Author | Sheng-Jhih, Wu Chu, Moody T. |
| Copyright Year | 2013 |
| Abstract | DIAGONAL ELEMENTS, EIGENVALUES, AND SINGULAR VALUES DRAFT AS OF April 30, 2013 SHENG-JHIH WU AND MOODY T. CHU Abstract. Diagonal entries and eigenvalues of a Hermitian matrix, dia gon l entries and singular values of a general matrix, and eigenvalues and singular values of a general matrix satisfy necessarily some majorization relationships which turn ou t also to be sufficient conditions. The inverse problem of numerically reconstruc ting a matrix to satisfy any given set of data meeting one of th ese relationships has been solved. In this paper, we take one step further to con struct a matrix satisfying prescribed diagonal elements, e igenvalues, and singular values simultaneously. Theory of the existence of such a matrix is established and a numerical method is propos ed. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www4.ncsu.edu/~mtchu/Research/Papers/Ides03b.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
