کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4603955 1631189 2006 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Block diagonalization and LU-equivalence of Hankel matrices
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Block diagonalization and LU-equivalence of Hankel matrices
چکیده انگلیسی

This article presents a new algorithm for obtaining a block diagonalization of Hankel matrices by means of truncated polynomial divisions, such that every block is a lower Hankel matrix. In fact, the algorithm generates a block LU-factorization of the matrix. Two applications of this algorithm are also presented. By the one hand, this algorithm yields an algebraic proof of Frobenius’ Theorem, which gives the signature of a real regular Hankel matrix by using the signs of its principal leading minors. On the other hand, the close relationship between Hankel matrices and linearly recurrent sequences leads to a comparison with the Berlekamp–Massey algorithm.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 412, Issues 2–3, 15 January 2006, Pages 247-269