کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9498552 | 1631204 | 2005 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Polynomials generated by a three term recurrence relation: bounds for complex zeros
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
This paper deals with the zeros of polynomials generated by a certain three term recurrence relation. The main objective is to find bounds, in terms of the coefficients of the recurrence relation, for the regions where the zeros are located. In most part, the zeros are explored through an Eigenvalue representation associated with a corresponding Hessenberg matrix. Applications to Szegö polynomials, para-orthogonal polynomials and polynomials with non-zero complex coefficients are considered.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 397, 1 March 2005, Pages 299-324
Journal: Linear Algebra and its Applications - Volume 397, 1 March 2005, Pages 299-324
نویسندگان
A.P. da Silva, A. Sri Ranga,