کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4631393 | 1340621 | 2012 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Three-level parallel J-Jacobi algorithms for Hermitian matrices
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Three-level parallel J-Jacobi algorithms for Hermitian matrices Three-level parallel J-Jacobi algorithms for Hermitian matrices](/preview/png/4631393.png)
چکیده انگلیسی
The paper describes several efficient parallel implementations of the one-sided hyperbolic Jacobi-type algorithm for computing eigenvalues and eigenvectors of Hermitian matrices. By appropriate blocking of the algorithms an almost ideal load balancing between all available processors/cores is obtained. A similar blocking technique can be used to exploit local cache memory of each processor to further speed up the process. Due to diversity of modern computer architectures, each of the algorithms described here may be the method of choice for a particular hardware and a given matrix size. All proposed block algorithms compute the eigenvalues with relative accuracy similar to the original non-blocked Jacobi algorithm.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 9, 1 January 2012, Pages 5704–5725
Journal: Applied Mathematics and Computation - Volume 218, Issue 9, 1 January 2012, Pages 5704–5725
نویسندگان
Sanja Singer, Saša Singer, Vedran Novaković, Davor Davidović, Krešimir Bokulić, Aleksandar Ušćumlić,