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SubmittedOpen Access (License Unspecified), Open
Journal article
Two-variable polynomials: intersecting zeros and stability
IEEE transactions on circuits and systems. I, Regular papers, v 53(5), pp 1130-1139
May 2006
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Abstract
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.
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Details
- Title
- Two-variable polynomials: intersecting zeros and stability
- Creators
- J.S Geronimo - Sch. of Math., Georgia Inst. of Technol., Atlanta, GA, USAH.J Woerdeman
- Publication Details
- IEEE transactions on circuits and systems. I, Regular papers, v 53(5), pp 1130-1139
- Publisher
- IEEE
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000237524100017
- Scopus ID
- 2-s2.0-33646518972
- Other Identifier
- 991014878280404721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Engineering, Electrical & Electronic