کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10345043 | 698146 | 2015 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Extension and generalization properties of the weighted Minkowski inverse in a Minkowski space for an arbitrary matrix
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The weighted Minkowski inverse AM,NââMn,m ârelated to the positive definite matrices MâMm and NâMn of an arbitrary matrix AâMm,n (including singular and rectangular) is one of the important generalized inverses for solving matrix equations in Minkowski space μ. In this paper, the results are introduced in the following three ways. First, we establish some new and attractive properties of the weighted Minkowski inverse AM,Nâ in a Minkowski space μ. Second, new representations and conditions for the continuity of the weighted Minkowski inverse AM,Nâ in a Minkowski space μ are discussed. Finally, some illustrated counterexamples are also studied to show that some well-known properties of the weighted Moore-Penrose inverse AM,N+ in a Hilbert space H are not valid in the Minkowski inverse AM,Nâ in a Minkowski space μ.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 70, Issue 5, September 2015, Pages 954-961
Journal: Computers & Mathematics with Applications - Volume 70, Issue 5, September 2015, Pages 954-961
نویسندگان
Zeyad Al-Zhour,