کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4629191 1340575 2013 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A note on the reverse order law for reflexive generalized inverse of multiple matrix products
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A note on the reverse order law for reflexive generalized inverse of multiple matrix products
چکیده انگلیسی
The reverse order law for reflexive generalized inverses of multiple matrix products was introduced and discussed in [M.Wei, Reverse order laws for generalized inverse of multiple matrix products, Linear Algebra Appl., 293 (1999) 273-288]. There the author derived some necessary and sufficient conditions for the reverse order lawAn{1,2}An-1{1,2}…A1{1,2}=(A1A2…An){1,2},by applying the product singular value decomposition (P-SVD). In this note, we revisited this reverse order law by using the extremal rank relations of generalized Schur complements and a new simpler equivalent condition is obtained in terms of only the ranks of the known matrices.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 9, 1 January 2013, Pages 4255-4265
نویسندگان
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