کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4672884 1346597 2012 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Canonical factorization of rational matrix functions. A note on a paper by P. Dewilde
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Canonical factorization of rational matrix functions. A note on a paper by P. Dewilde
چکیده انگلیسی

A left canonical factorization theorem for rational matrix functions relative to the unit circle is presented. The result is a time invariant version of a recent strict LU factorization theorem for certain semi-separable operators, due to Dewilde (2012) [6]. Explicit formulas for the factors are also given. The theorem is proved, first by using the state space method of Dewilde (2012) [6], and next by using an operator theory approach. In both cases the main part of the proof concerns rational matrix functions that are unitary on the unit circle.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Indagationes Mathematicae - Volume 23, Issue 4, December 2012, Pages 1154–1164
نویسندگان
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