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- Maho Nakata
- 2010 IEEE International Symposium on Computer…
- 2010

Semidefinite programming (SDP) is an important branch of optimization and has wide range of applications: engineering, industry, chemistry, mathematics, etc. However, obtaining very accurate optimum… (More)

- Maho Nakata, Yasuyoshi Takao, Shigeho Noda, Ryutaro Himeno
- 2012 Third International Conference on Networking…
- 2012

We have implemented a fast double-double precision (has approx. 32 decimal significant digits) version of matrix-matrix multiplication routine called "Rgemm" of MPACK… (More)

- Hayato Waki, Maho Nakata, Masakazu Muramatsu
- Comp. Opt. and Appl.
- 2012

We observe that in a simple one-dimensional polynomial optimization problem (POP), the ‘optimal’ values of semidefinite programming (SDP) relaxation problems reported by the standard SDP solvers… (More)

- Mituhiro Fukuda, Bastiaan J. Braams, +4 authors Zhengji Zhao
- Math. Program.
- 2007

Employing the variational approach having the two-body reduced density matrix (RDM) as variables to compute the ground state energies of atomic-molecular systems has been a long time dream in… (More)

- Katsuki Fujisawa, Hitoshi Sato, Satoshi Matsuoka, Toshio Endo, Makoto Yamashita, Maho Nakata
- 2012 International Conference for High…
- 2012

Semidefinite programming (SDP) is one of the most important problems among optimization problems at present. It is relevant to a wide range of fields such as combinatorial optimization, structural… (More)

- Makoto Yamashita, Katsuki Fujisawa, Mituhiro Fukuda, Kazuhide Nakata, Maho Nakata
- ACM Trans. Math. Softw.
- 2012

A SemiDefinite Programming (SDP) problem is one of the most central problems in mathematical optimization. SDP provides an effective computation framework for many research fields. Some applications,… (More)

- Maho Nakata
- 2011 Second International Conference on…
- 2011

This is an introduction to RIKEN's supercomputer RICC (RIKEN Integrated Cluster of Clusters), that has been in operation since August 2009. The basic concept of the RICC is gprovide high power… (More)

- Misato Suzuki, Fumiya Nakamura, +6 authors Hiroyuki Kawachi
- Molecular and Cellular Biochemistry
- 2018

Peroxisome proliferator-activated receptors (PPARs) are ligand-dependent transcription factors that regulate lipid and glucose metabolism. PPARα mainly affects fatty acid metabolism, and its… (More)

- Maho Nakata, Bastiaan J. Braams, Mituhiro Fukuda, Jerome K. Percus, Makoto Yamashita, Zhengji Zhao
- The Journal of chemical physics
- 2006

Calculations on small molecular systems indicate that the variational approach employing the two-particle reduced density matrix (2-RDM) as the basic unknown and applying the P, Q, G, T1, and T2… (More)

- Maho Nakata
- 2012 SC Companion: High Performance Computing…
- 2012

We are interested in the accuracy of linear algebra operations; accuracy of the solution of linear equation, eigenvalue and eigenvectors of some matrices, etc. This is a reason for we have been… (More)