کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5776193 1631970 2017 45 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Gauss-Jordan elimination method for computing all types of generalized inverses related to the {1}-inverse
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Gauss-Jordan elimination method for computing all types of generalized inverses related to the {1}-inverse
چکیده انگلیسی
We derive a unified representation for all types of generalized inverses related to the {1}-inverse. Based on this representation, we propose a unified Gauss-Jordan elimination procedure for the computation of all types of generalized inverses related to the {1}-inverse. Complexity analysis indicates that when applied to compute the Moore-Penrose inverse, our method is more efficient than the existing Gauss-Jordan elimination methods in the literature for a large class of problems. Finally, numerical experiments show our method for Moore-Penrose inverse has good efficiency and accuracy, and especially for computing the Moore-Penrose inverse of m×n matrices with m
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 321, September 2017, Pages 26-43
نویسندگان
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