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I am interested in mathematical programming. Now, in paticular, I am investigating
the possibility of parallel computation for SemiDefinite Programming.
I also have interests on the relation between mathematical beauty and
intrinsic natural beauty in physics, chemistry and the theory of evolution.
The reason I have interest on such research is simple,
it's actually interesting
and fascinating to me.
- Mathematcial Programming
- Interior-Point Methods
- SemiDefinite Programming
- Conic Programming
- Quantum Chemistry
- Parallel Computation
- Grid Computing
- SIAM (Society for Industrial and Applied Mathematics)
- MPS (Mathematical Programming Society)
- INFORMS (Institute for Operations Research and the Management Sciences)
- Japan Operations Research Society
- Japan Industrial Management Association
| Quantum Chemistry
[PDF]
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M. Fukuda, B. J. Braams, M. Nakata,
M. L. Overton, J. K. Percus, M. Yamashita, and Z. Zhao,
"Large-scale semidefinite programs in electronic structure calculation",
To Appear in
Mathematical Programming (2006).
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| Book for Parallel Computation
[PDF]
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M. Yamashita, K. Fujisawa, M. Fukuda, M. Kojima and K. Nakata ,
"Parallel Primal-Dual Interior-Point Methods for SemiDefinite Programs",
To Appear in
'Parallel Combinatorial Optimization' edited by El Talbi (2006).
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| SDPARA-C
[PDF]
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K. Nakata, M. Yamashita, K. Fujisawa and M. Kojima,
"A Parallel Primal-Dual Interior-Point Method for Semidefinite Programs
Using Positive Definite Matrix Completion",
To Appear in
Parallel Computing (2006).
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| JORSJ
[PDF]
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K. Fujisawa, M. Kojima, A. Takeda and M. Yamashita,
"Solving Large Scale Optimization Problems via Grid and Cluster Computing",
Journal of the Operation Research Society of Japan Vol.47 (4) 265--274 (2004).
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| SAINT
[PDF]
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K. Fujisawa, M. Kojima, A. Takeda and M. Yamashita,
"High Performance Grid and Cluster Computing for Some Optimization Problems,"
Proceedings of SAINT 2004 Work Shops 612-615 (2004).
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| SDPARA
[PDF]
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M. Yamashita, K. Fujisawa and M. Kojima,
"SDPARA : SemiDefiniteProgramming
Algorithm paRAllel Version",
Parallel Computing Vol.29 (8) 1053-1067 (2003).
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| SDPA 6.00
[PDF]
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M. Yamashita, K. Fujisawa and M. Kojima,
"Implementation and Evaluation of SDPA 6.0
(SemiDefinite Programming Algorithm 6.0)",
Optimization Methods and Software Vol.18 (4) 491-505 (2003).
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| SOCP for SDP
[PS.GZ]
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S. Kim, M. Kojima and M. Yamashita,
"Second Order Cone Programming Relaxation of a Positive Semidefinite Constraint",
Optimization Methods and Software Vol.18 (5) 535-541 (2003)
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| ISMP 2006
[PPT]
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The International Symposium on Mathematical Programming 2006
The Federal University of Rio de Janeiro (Rio de Janeiro, Brazil), July 2006.
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| SIAM-PP06
[PPT]
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SIAM Conference on Parallel Processing for Scientific Computing 2006
Sir Francis Drake Hotel (San Francisco, USA), Feburary 2006.
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| Informs Annual Meeting 2005
[PPT]
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Informs Annual Meeting
Hilton San Francisco and Renaissance Parc 55 San Francisco (San Fransisco, USA), November 2005.
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| ICCOPT
[PPT]
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International Conference on Continuous Optimization (ICCOPT)
Rensselaer Polytechnic Institute (New York, USA), August 2004.
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| CORS/INFORMS
[PPT]
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CORS/Informs Joint Meeting
Banff International Centre (Banff, Canada), May 2004.
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| SIAM-PP04
[PPT]
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SIAM Conference on Parallel Processing for Scientific Computing 04
Hyatt at Fisherman's Wharf (SanFransisco, USA), February 2004.
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| ISMP 2003
[PPT]
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The International Symposium on Mathematical Programming 2003
Technical University of Denmark (Copenhagen, Denmark), August 2003.
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| SC 2002
[PPT]
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Super Computing 2002
I participates as an exhibition side.
Baltimore Convention Center (Baltimore, US), November 2002.
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| JSOM 2002
[PPT]
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The Second Japanese-Sino Optimization Meeting (JSOM 2002),
"A parallel implementation of the SDPA
(SemiDefinite Programming Algorithm)",
Riega Royal Hotel (Kyoto, Japapn), September 2002.
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| RAMP
[PPT] (in Japanese)
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Kyoto University (Kyoto, Japan), October 2006.
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| SAOR @ Tsukuba 2004
[PPT] (in Japanese)
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University of Tsukuba (Ibaraki, Japan), June 2004.
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| SAOR @ Tsukuba 2003
[PPT] (in Japanese)
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University of Tsukuba (Ibaraki, Japan), June 2003.
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| NAS 2003
[PPT](in Japanese)
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Numerical Analysis Symposium 2003
Kowakien (Kanagawa, Japan), May 2003.
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Operations Research Society of JAPAN meeting
[PPT] (in Japanese)
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| Keio University (Kanagawa, Japan), March 2003.
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| SDPA
(SDPA Home page)
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SemiDefinite Programming Algorithm. A computer software to solve SemiDefinite
Programming. It is written in C++ language and based on Mehrotra Type Primal-Dual
Interior-Point Methods. The latest version solves successfully various SDPs with the
advantage of ATLAS and LAPACK.
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| SDPARA
(
SDPARA can be found at SDPA Home Page )
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SemiDefinite Programming Algorithm paRAllel version. A parallel
implementation of SDPA with MPI and ScaLAPACK. The parallel processing applied to
the evaluation of the Schur complement matrix and its Cholesky factorization enables us
to solve the excessively large SDPs.
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