کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4646319 | 1342101 | 2008 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Use of near-breakdowns in the block Arnoldi method for solving large Sylvester equations
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Use of near-breakdowns in the block Arnoldi method for solving large Sylvester equations Use of near-breakdowns in the block Arnoldi method for solving large Sylvester equations](/preview/png/4646319.png)
چکیده انگلیسی
In this paper we construct an approximate solution to large Sylvester equations of the form AX+XB=CDT. The construction uses a new variant of the block Arnoldi algorithm which exploits the near-breakdowns, that is, the near singularities in the generated basis. As a consequence, the algorithm eliminates the directions which do not contribute to the approximate solution by keeping in the generated basis only the “active” vectors detected by a criterion based on the residual associated with the approximate solution. The effectiveness of the proposed algorithm is demonstrated on several examples, including the case where the matrix B has a small or a large size.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 58, Issue 4, April 2008, Pages 486-498
Journal: Applied Numerical Mathematics - Volume 58, Issue 4, April 2008, Pages 486-498