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And what we have now? With regard to the orthogonality of vectors, then the implementation in recent releases Intel encouraging. A parallelization in dstegr Intel MKL is not implemented, and speed problems.
For the tridiagonal matrix from paragraph 2.2 of the size n = 30001 is my result - with 56.6 sec (hardware configuration: i7 860 processor (Speed: 2.80 GHz), Motherboard DP55KG,DDR31333 MHz (8 GB), OS Windows XP Professional x64 Edition SP2,Intel MKL 10.2 Update 4, EM64T,HT off). And dstegr Intel MKL provides 19 min. 37 sec. (result is given to the frequency of 2.80 GHz to compensate for the turbo boost, because parallelization in dstegr Intel MKL is not implemented). The difference in more than 20 times!
P.S.
The results presented here relates to an improved algorithm, on which information is published on my page. I also want to note that the parallelization of my algorithm is not complete (work on a full parallelization is), making it an advantage over the RRR algorithm even more impressive.Regarding the accuracy of the eigenvectors, it is not inferior RRR algorithm. My web page (it is not currently available) and publications, which used my diagonalization, can be downloaded here: http://depositfiles.com/files/fmy2ueaad
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Hello Jury,
1) Yes, you are right. This function is not threadedat all. Our implementation of this algorithm is the same as netlib has.
2)how can we verify this? Can you give us the binaries to check the problem on our side?
--Gennady
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2)how can we verify this? Can you give us the binaries to check the problem on our side?
--Gennady
mine C-file for testing dstegr Intel MKL? Program implementation of my algorithm, I would not want to give: let Intel representatives come to my house and see that.
--Yurii
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The fact that my algorithms are not published, but only links to the articles (9-11 http://www.thesa-storre.com/products/english.php ), in which they are used. Specialist easy to disassemble the translated code: ie I risk, and you sent me a specialist home, no risk. Previously I skip the tests on my computer, which you have given me.
--Yurii
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While I am prepared to provide the source code and the idea of the algorithm, referred to in paragraph 5.1 on my web page http://www.thesa-store.com/products/english.php .
--Yurii
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This site containscomparison with Intel very old MKL 8.0 and 8.1 :(
What about the latest MKL 10.2.4?
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Yes. But the idea of my algorithms have not changed. And Intel in that time has moved only in addressing the matrix multiplication for IA32 by prof. Granovsky (for 65 nm. processors). And Intel has also significantly improved the RRR algorithm. Regarding the algorithm, which I counterpoise RRR, he is much improved.
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Gennady,
can use the source code: this is my gift. Id like to notice that dlarfb has a lot of applications so the importance of changes submitted by me is quite high.
http://software.intel.com/en-us/forums/showthread.php?t=77331&o=d&s=lr
--Yurii
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