کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599111 1631119 2015 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On matrix Hurwitz type polynomials and their interrelations to Stieltjes positive definite sequences and orthogonal matrix polynomials
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On matrix Hurwitz type polynomials and their interrelations to Stieltjes positive definite sequences and orthogonal matrix polynomials
چکیده انگلیسی

This paper is a direct continuation of the author's recent investigations [4] on the non-degenerate truncated matricial Stieltjes problem. Inspired by a characterization of scalar Hurwitz polynomials via continued fractions (see e.g.  Gantmacher [15]) a class of matrix Hurwitz type polynomials is introduced. It is shown that this class is intimately related with Stieltjes positive definite sequences of matrices and can be expressed in terms of the associated Stieltjes quadruple of sequences of left orthogonal matrix polynomials. It is shown that a monic matrix polynomial is a matrix Hurwitz type polynomial if and only if the sequence of its Markov parameters is a Stieltjes positive definite sequence.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 476, 1 July 2015, Pages 56–84
نویسندگان
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