کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
11024718 | 1701081 | 2019 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Inversion and pseudoinversion of block arrowhead matrices
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
One important application of the Sherman-Morrison formula is the construction of an efficient method for computing the inverse of an arrowhead matrix. Our intention is to apply the Sherman-Morrison-Woodbury formula in finding new representations for numeric or symbolic computation of the inverse of block arrowhead matrices. In addition, a generalization of the well known notion of the Schur complement is defined and exploited. Finally, we present a new representation for numeric and symbolic computing of the Moore-Penrose inverse of special type of block arrowhead matrices. Estimated computational complexity as well as presented numerical and symbolic results show the effectiveness of the proposed methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 341, 15 January 2019, Pages 379-401
Journal: Applied Mathematics and Computation - Volume 341, 15 January 2019, Pages 379-401
نویسندگان
Predrag S. StanimiroviÄ, Vasilios N. Katsikis, Dejan Kolundžija,