کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4602903 1336942 2008 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Polynomials satisfied by two linked matrices
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Polynomials satisfied by two linked matrices
چکیده انگلیسی

Polynomials in two variables, evaluated at A and with A being a square complex matrix and being its transform belonging to the set {A=, A†, A∗}, in which A=, A†, and A∗ denote, respectively, any reflexive generalized inverse, the Moore–Penrose inverse, and the conjugate transpose of A, are considered. An essential role, in characterizing when such polynomials are satisfied by two matrices linked as above, is played by the condition that the column space of A is the column space of . The results given unify a number of prior, isolated results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 429, Issue 10, 1 November 2008, Pages 2335-2339