کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4600147 1336838 2012 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The inverse of nonsymmetric two-level Toeplitz operator matrices
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
The inverse of nonsymmetric two-level Toeplitz operator matrices
چکیده انگلیسی

The Gohberg–Semencul formula allows one to express the entries of the inverse of a Toeplitz matrix using only a few entries (the first row and the first column) of the inverse matrix, under some nonsingularity condition. In this paper we will provide a two variable generalization of the Gohberg–Semencul formula in the case of a nonsymmetric two-level Toeplitz matrix with a symbol of the form where P(z1,z2) and Q(z1,z2) are stable polynomials of two variables. We also consider the case of operator valued two-level Toeplitz matrices. In addition, we propose an equation solver involving two-level Toeplitz matrices. Numerical results are included.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 437, Issue 9, 1 November 2012, Pages 2142-2158