کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4603576 1336964 2008 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Symmetric polynomials, Pascal matrices, and Stirling matrices
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Symmetric polynomials, Pascal matrices, and Stirling matrices
چکیده انگلیسی

We consider lower-triangular matrices consisting of symmetric polynomials, and we show how to factorize and invert them. Since binomial coefficients and Stirling numbers can be represented in terms of symmetric polynomials, these results contain factorizations and inverses of Pascal and Stirling matrices as special cases. This work generalizes that of several other authors on Pascal and Stirling matrices.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 428, Issue 4, 1 February 2008, Pages 1127-1134