کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4639229 1632037 2013 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Gradient methods for computing the Drazin-inverse solution
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Gradient methods for computing the Drazin-inverse solution
چکیده انگلیسی

The problem of computing the vector ADbADb, in the cases when it provides a solution of a singular linear system, is reduced to the problem of finding a least-squares solution of an appropriate linear system. Later the presented ideas are extended to arbitrary linear systems. As a consequence, we present iterative methods for computing the vector ADbADb in general. The functionality of the exposed algorithms is based on a specific representation of the Drazin-inverse solution, as well as the properties that we introduce. Convergence results of the proposed methods are also considered. Illustrative numerical examples are presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 253, 1 December 2013, Pages 255–263
نویسندگان
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