Finding a positive semidefinite interval for a parametric matrix
โ Scribed by R.J. Caron; N.I.M. Gould
- Book ID
- 103257084
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 534 KB
- Volume
- 76
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
For any n ร n complex matrix A and any integer k 1, we prove that the span of image of the map x โ (Ax) (k) is equal to the range of (AA \* ) (k) , where X \* and X (k) denote the conjugate transpose and the kth Hadamard power of a matrix X, respectively. This settles a conjecture, due to Gorni and
Agler, Helton, McCullough, and Rodman proved that a graph is chordal if and only if any positive semidefinite (PSD) symmetric matrix, whose nonzero entries are specified by a given graph, can be decomposed as a sum of PSD matrices corresponding to the maximal cliques. This decomposition is recently
The positive semidefinite and Euclidean distance mat~x completion problems have received a lot of attention in the literature. Results have been obtained for these two problems that are very similar in their formulations. Although there is a strong relationship between positive semidefinite matrices