کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4634129 1340686 2008 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Symbolic and recursive computation of different types of generalized inverses
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Symbolic and recursive computation of different types of generalized inverses
چکیده انگلیسی

We propose a method and algorithm for recursive computation of different classes of generalized inverses of a given one-variable rational matrix and corresponding algorithm for polynomial matrix. These methods and algorithms are generalizations of the method for computing the generalized inverses for constant matrices, originated in [F.E. Udwadia, R.E. Kalaba, A unified approach for the recursive determination of generalized inverses, Comp. Math. Appl., 37 (1999), 125–130], and the partitioning method for computing the generalized inverses of rational and polynomial matrices introduced in [P.S. Stanimirović, M.B. Tasić, Partitioning method for rational and polynomial matrices, Appl. Math. Comput., 155 (2004) 137–163; M.B. Tasić, P.S. Stanimirović, M.D. Petković, Symbolic computation of weighted Moore–Penrose inverse using partitioning method, Appl. Math. Comput 189 (2007) 615–640]. Algorithms are implemented in the symbolic computational package MATHEMATICA.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 199, Issue 1, 15 May 2008, Pages 349–367
نویسندگان
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