Minimal paramount matrices |
| |
Authors: | Timothy A Loughlin Paul Slepian |
| |
Institution: | Union College Schenectady, New York, USA;Howard University Washington, D.C., USA |
| |
Abstract: | A real symmetric matrix of order n, n ? 2, is said to be paramount if each proper principal minor is not less than the absolute value of any other minor built from the same rows. A paramount matrix is minimal 1 if reducing any of the diagonal entries removes the matrix from the paramount class. Minimal paramount matrices arise in the n-port realization problem of circuit theory. A condition is found that is equivalent to the minimality of a paramount matrix. Conditions are also found that guarantee that the inverse of an invertible minimal paramount matrix is itself minimal. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|