کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599318 1631130 2015 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Matrix characterizations of Riordan arrays
ترجمه فارسی عنوان
خصوصیات ماتریس آرایه های ریوردان
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

Here we discuss two matrix characterizations of Riordan arrays, P-matrix characterization and A-matrix characterization. P-matrix is an extension of the Stieltjes matrix defined in [28] and the production matrix defined in [8]. By modifying the marked succession rule introduced in [21], a combinatorial interpretation of the P-matrix is given. The P-matrix characterizations of some subgroups of Riordan group are presented, which are used to find some algebraic structures of the subgroups. We also give the P-matrix characterizations of the inverse of a Riordan array and the product of two Riordan arrays. A-matrix characterization is defined in [20], and it is proved to be a useful tool for a Riordan array, while, on the other side, the A-sequence characterization is very complex sometimes. By using the fundamental theorem of Riordan arrays, a method of construction of A-matrix characterizations from Riordan arrays is given. The converse process is also discussed. Several examples and applications of two matrix characterizations are presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 465, 15 January 2015, Pages 15–42
نویسندگان
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