A note on nonnegative normal matrices
โ Scribed by Zhuorong Chen; Wen Li
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 132 KB
- Volume
- 279
- Category
- Article
- ISSN
- 0024-3795
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โฆ Synopsis
In this note we characterize nonnegative matrices A f'or which ilT = p(A). where pi.4) is a polynomial with nonnegative coefficients and p(O) # 0.
๐ SIMILAR VOLUMES
By a nonnegative sign pattern we mean a matrix whose entries are from the set { +, 0). A nonnegative sign pattern A is said to allow normality if there is a normal matrix B whose entries have signs indicated by A. In this paper the combinatorial structure of nonnegative normal matrices, in particula
## We prove that 2" is star-shaped with respect to (1, 0, . . . , 0) and that (1, A,, . . . , A,) ~j" is on the boundary of 2" if and only if 11, A,, . . . , A,) is not the spectrum of any positive matrix. As a consequence, attention is given to the problem of determining which nonnegative matrice