Bhatia, Rajendra ; Kosaki, Hideki (2007) Mean matrices and infinite divisibility Linear Algebra and its Applications, 424 (1). pp. 36-54. ISSN 0024-3795
![[img]](https://repository.ias.ac.in/style/images/fileicons/application_pdf.png)
|
PDF
- Publisher Version
172kB |
Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00243...
Related URL: http://dx.doi.org/10.1016/j.laa.2006.03.023
Abstract
We consider matrices M with entries mij = m(λ i, λ j) where λ 1,..,λ n are positive numbers and m is a binary mean dominated by the geometric mean, and matrices W with entries wij = 1/m (λ i, λ j) where m is a binary mean that dominates the geometric mean. We show that these matrices are infinitely divisible for several much-studied classes of means.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Mean; Positive Definite Matrix; Infinitely Divisible Matrix; Operator Monotone Function; Fourier Transform |
| ID Code: | 2576 |
| Deposited On: | 08 Oct 2010 06:58 |
| Last Modified: | 16 May 2016 13:33 |
Repository Staff Only: item control page
