کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9498155 | 1631191 | 2005 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An invariance property related to the reverse order law
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
It is shown that, quite surprisingly, all matrices of the form LâMâ, where Lâ and Mâ denote generalized inverses of L and M, are generalized inverses of ML if and only if the product MLLâMâML is invariant with respect to the choice of Lâ and Mâ, which at the first glance looks to be a weaker condition than the requirement that MLLâMâMLÂ =Â ML for every Lâ and Mâ. This statement follows as an immediate corollary to the main result of the present note, which provides two criteria for the invariance of expressions of the type KLâMâN involving four given matrices K, L, M, N, with generalized inverses Lâ, Mâ of two of them.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 410, 15 November 2005, Pages 64-69
Journal: Linear Algebra and its Applications - Volume 410, 15 November 2005, Pages 64-69
نویسندگان
Jerzy K. Baksalary, Oskar Maria Baksalary,