DETERMINANT OF THE SUM OF A SYMMETRICAL AND A SKEW-SYMMETRICAL MATRIX

Authors
BEBIANO N LI CK DAPROVIDENCIA J
Citation
N. Bebiano et al., DETERMINANT OF THE SUM OF A SYMMETRICAL AND A SKEW-SYMMETRICAL MATRIX, SIAM journal on matrix analysis and applications, 18(1), 1997, pp. 74-82
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on matrix analysis and applications → ACNP
ISSN journal
08954798
Volume
18
Issue
1
Year of publication
1997
Pages
74 - 82
Database
ISI
SICI code
0895-4798(1997)18:1<74:DOTSOA>2.0.ZU;2-L
Abstract
The set of all possible determinant values of the sum of a, (complex) symmetric matrix and a skew-symmetric matrix with prescribed singular values is determined. This set can also be viewed as the best containm ent region for the determinant of a square matrix X in terms of the si ngular values of its symmetric and skew-symmetric parts. The technique is extended to study the principal miners of X. Similar problems for real matrices are considered.