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Unitary and Orthogonal Transformations on Matrices

✍ Scribed by P. M. Gibson

Book ID
124874640
Publisher
Society for Industrial and Applied Mathematics
Year
1974
Tongue
English
Weight
390 KB
Volume
27
Category
Article
ISSN
0036-1399

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Linear maps transforming H-unitary matri
Linear maps transforming H-unitary matrices
✍ Chi-Kwong Li; Nung-Sing Sze πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 238 KB

Let H 1 be an n Γ— n invertible Hermitian matrix, and let U(H 1 ) be the group of n Γ— n H 1 -unitary matrices, i.e., matrices A satisfying A \* H 1 A = H 1 . Suppose H 2 is an m Γ— m invertible Hermitian matrix. We show that a linear transformation Ο† : and Ο† has the form where a, b, c and d are nonn