کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9498642 1631207 2005 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Matrix approach to polynomials 2
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Matrix approach to polynomials 2
چکیده انگلیسی
We continue our study of the structure initiated in [T. Arponen, A matrix approach to polynomials, Linear Algebra Appl. 359 (2003) 181-196]. Our main emphasis is exploring further structure into the formalism introduced in [T. Arponen, A matrix approach to polynomials, Linear Algebra Appl. 359 (2003) 181-196]. This formalism reveals beautiful interplay between certain elementary operators, and provides tools for example for checking, handling and generalizing combinatorial identities, as we show in examples. In addition to that we discover a group structure among Vandermonde matrices, a fascinating diophantine equation and new proofs and generalizations of recently found related results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 394, 1 January 2005, Pages 257-276
نویسندگان
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