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http://hdl.handle.net/10773/5994| Title: | A Note on Indefinite Chaotic Order |
| Author: | Bebiano, N. Lemos, R. Providência, J. da Soares, G. |
| Keywords: | J-selfadjoint matrices Furuta inequality of indefinite type J-chaotic order alpha-power mean |
| Issue Date: | 2009 |
| Abstract: | A selfadjoint involutive matrix J endows C^n with an indefinite inner product [¢; ¢] defined by [x,y]:= y*Jx, x,y \in C^n. For a pair of J-selfadjoint matrices A, B with positive eigenvalues, LogA \geq_J LogB is called the J-chaotic order or indefinite chaotic order. In this note a characterization of the indefinite chaotic order in terms of the alpha-power mean is revisited and a related open problem is proposed. A new characterization of the indefinite chaotic order is also obtained. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/5994 |
| ISSN: | 1942-9649 |
| Publisher Version: | http://www.i-asr.com/ |
| Appears in Collections: | DMat - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 111Vol_1_Issue_1_JARAM_P-19-26.pdf | 170.09 kB | Adobe PDF |  |
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