کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6416666 1336855 2013 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A family of iterative methods for computing Moore-Penrose inverse of a matrix
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
A family of iterative methods for computing Moore-Penrose inverse of a matrix
چکیده انگلیسی

This paper improves on generalized properties of a family of iterative methods to compute the approximate inverses of square matrices originally proposed in [1]. And while the methods of [1] can be used to compute the inner inverses of any matrix, it has not been proved that these sequences converge (in norm) to a fixed inner inverse of the matrix. In this paper, it is proved that the sequences indeed are convergent to a fixed inner inverse of the matrix which is the Moore-Penrose inverse of the matrix. The convergence proof of these sequences is given by fundamental matrix calculus, and numerical experiments show that the third-order iterations are as good as the second-order iterations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 438, Issue 1, 1 January 2013, Pages 47-56
نویسندگان
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