کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9509524 1341401 2005 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A note on the maximization of matrix valued Hankel determinants with applications
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A note on the maximization of matrix valued Hankel determinants with applications
چکیده انگلیسی
In this note, we consider the problem of maximizing the determinant of moment matrices of matrix measures. The maximizing matrix measure can be characterized explicitly by having equal (matrix valued) weights at the zeros of classical (one-dimensional) orthogonal polynomials. The results generalize classical work of Schoenberg (Indag. Math. 62 (1959) 282) to the case of matrix measures. As a statistical application we consider several optimal design problems in linear models, which generalize the classical weighing design problems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 177, Issue 1, 1 May 2005, Pages 129-140
نویسندگان
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