کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8898063 1631057 2018 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A note on the convexity of the Moore-Penrose inverse
ترجمه فارسی عنوان
یادداشتی در مورد محکم معکوس مور-پنروز
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی
This note is a sequel to an earlier study (Nordström [7]) on convexity properties of the inverse and Moore-Penrose inverse, in which the following question was raised. Given nonnegative definite matrices A and B with Moore-Penrose inverses A+ and B+, respectively, can one show that(λA+λ‾B)+⩽λA++λ‾B+ holding for a single λ∈]0,1[ is enough to guarantee its validity for all λ∈]0,1[? (The ordering above is the partial ordering, induced by the convex cone of nonnegative definite matrices, and λ‾:=1−λ.) In this note an affirmative answer is provided to this question.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 538, 1 February 2018, Pages 143-148
نویسندگان
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