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Polynomial matrices and dualities

✍ Scribed by Harald K. Wimmer

Publisher: Elsevier Science
Year: 1981
Tongue: English
Weight: 203 KB
Volume: 1
Category: Article
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(81)80036-9

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Let Ct be the ring of all polynomials in the real variable t with complex coef-®cients. We show that if A is an n-square hermitian matrix with entries in R, then A is congruent to the direct sum of a zero matrix and a diagonally dominant matrix. Here, diagonally dominant means that the degree of any