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Two-variable polynomials: Intersecting zeros and stability

delete2006-05-01
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J
Jeffrey S. Geronimo *
H
Hugo J. Woerdeman
DOI:10.1109/TCSI.2005.862180delete
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摘要

摘要

En 中文
In order to construct two-variable polynomials with a certain zero behavior, the notion of intersecting zeros is studied. We show that generically two-variable polynomials have a finite set of intersecting zeros, and give an algorithm on how to construct a polynomial with the desired intersecting zeros. Relations with the Cayley-Bacharach theorem are addressed. In addition, we will also address the case when stable polynomials are sought.
Keyword:
intersecting zeros
Cayley-Bacharach
Fejer-Riesz factorization
Schur-Cohn
stability
spectral factorization
resultant valued matrix polynomials
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期刊

IEEE Transactions on Circuits and Systems I-Regular Papers 封面图
IEEE Transactions on Circuits and Systems I-Regular Papers
IF:
5.2
论文数:
9.7K
被引数:
2.2W

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