| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8897868 | Linear Algebra and its Applications | 2018 | 14 Pages |
Abstract
Using the symbol functions and their associated Fourier series, we introduce a new definition of geometric mean for all positive semi-definite Toeplitz matrices and positive semi-definite block-Toeplitz matrices with Toeplitz structured blocks (TBBT). The proposed definition preserves the structure of the matrices and satisfies some important Ando-Li-Mathias properties, such as monotonicity and continuity. Also, it has low cost and is simple to calculate.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Elham Nobari, Bijan Ahmadi Kakavandi,