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A note on nonnegative normal matrices

โœ 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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โœฆ 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.


๐Ÿ“œ SIMILAR VOLUMES


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Sign patterns of nonnegative normal matr
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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

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โœ Alberto Borobia; Julio Moro ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 764 KB

## 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