Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415951 | Linear Algebra and its Applications | 2016 | 18 Pages |
Abstract
In this paper, using Laurent operators and Fourier coefficients of their symbol functions, we introduce a geometric mean for a large class of nÃn positive semi-definite Toeplitz matrices which satisfies the monotonicity property. The cost of our approach in term of arithmetic operations for m matrices is of the order O(mn2). This definition preserves the structure, is simple to calculate, preserves monotonicity and satisfies some other Ando-Li-Mathias properties.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Elham Nobari,