|
| << previous | next >> |
Journal description
All volumes of the corresponding journal
All issues of the corresponding volume
All articles of the corresponding issues
Details for article 6 of 8 found articles
| Title: |
On the generalized radial matrices and a conjecture of Marcus and Sandy |
| Author: |
Tam, Tin-Yau |
| Appeared in: |
Linear & multilinear algebra |
| Paging: | Volume 19 (1986) nr. 1 pages 11-20 |
| Year: |
1986-04 |
| Contents: |
Given an n×n complex matrix A wiih eigenvalues λj,1≤j≤n and positive integers m,k such that m≤k≤n, we define [image omitted] where Qk,n denotes the set of all strictly increasing sequences of k integers chosen from {1,…,n} and Em denotes the elementary symmetric function of degree m. We also define [image omitted] where Cm(A) is the mth compound of A, and [image omitted] We say that the matrix A is generalized (mk)-radial if [image omitted] . In this note we characterize the generalized (mk)-radial matrices. It turns out that is equivalent to [image omitted] . We also give a counterexample to a conjecture of Marcus and Sandy and this example also shows that [image omitted] is not equivalent to [image omitted] . |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 6 of 8 found articles
| << previous | next >> |