کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9498142 1631190 2005 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An efficient resultant for determining reciprocal zeros in polynomials
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
An efficient resultant for determining reciprocal zeros in polynomials
چکیده انگلیسی
We create a new resultant for determining the presence and number of reciprocal zeros in a given degree-n polynomial a(z) whose coefficients are real numbers. While the 2n × 2n Sylvester resultant (or eliminant) could be used for this purpose, our new resultant is based on a simple (n + 1) × (n + 1) matrix. The number of reciprocal zeros present in a(z) can then be determined from the rank of this matrix. It extends to matrix form some of the work described by Muir in 1897 for determinants. Muir's work is also shown to lead to a simple factorization of the Bézout resultant for the same problem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 411, 1 December 2005, Pages 309-327
نویسندگان
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