| Matrix Flows Maintaining Positivity |
| کد مقاله : 1015-SLAA10 |
| نویسندگان |
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کاظم قنبری * دانشکده علوم پایه |
| چکیده مقاله |
| In this paper we present two types of positivity for matrices and the latest development in matrix differential equations maintaining the positivity of the initial condition. Two types of important positivity are {it Comlpete Positivity} and {it Total Positivity}. Matrix $A$ is completely positive if it can be decomposed as $A=BB^T$, where $B$ is a nonnegative matrix. A matrix is called totally positive if all minors of the matrix is positive. Two square matrices are said to be {it Isospectral} if they have the same eigenvalues. In this paper we introduce a matrix differential equation that preserves the positivity property of the initoal matrix. |
| کلیدواژه ها |
| Isospectral flow, Completely positive matrix, Totally positive matrix |
| وضعیت: پذیرفته شده برای ارائه شفاهی |