کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6416952 | 1337864 | 2011 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Full length articleA miraculously commuting family of orthogonal matrix polynomials satisfying second order differential equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
We find structural formulas for a family (Pn)n of matrix polynomials of arbitrary size orthogonal with respect to the weight matrix eât2eAteAât, where A is certain nilpotent matrix. It turns out that this family is a paradigmatic example of the many new phenomena that show the big differences between scalar and matrix orthogonality. Surprisingly, the polynomials Pn, nâ¥0, form a commuting family. This commuting property is a genuine and miraculous matrix setting because, in general, the coefficients of Pn do not commute with those of Pm, nâ m.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 163, Issue 12, December 2011, Pages 1815-1833
Journal: Journal of Approximation Theory - Volume 163, Issue 12, December 2011, Pages 1815-1833
نویسندگان
Antonio J. Durán,