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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Inversion and pseudoinversion of block arrowhead matrices
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
نویسندگان
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