Nakata Maho's publications
Journal Papers (in English)
Referred times in parenthesis by ISI Web of Knowledge (2011/3/8).

All about RIKEN Integrated Cluster of Clusters (RICC)
M. Nakata
International Journal of Networking and Computing Vol 2, No 2 (2012) pp. 206215

Parallel Solver for Semidefinite Programming Problem having Sparse Schur Complement Matrix
Makoto Yamashita, Katsuki Fujisawa, Mituhiro Fukuda, Kazuhide Nakata, Maho Nakata
ACM Transactions on Mathematical Software (TOMS) TOMS Homepage archive
Volume 39 Issue 1, November 2012
Article No. 6

The secondorder reduced density matrix method and the twodimensional Hubbard model
James S.M. Anderson, Maho Nakata, Ryo Igarashi, Katsuki Fujisawa, Makoto Yamashita
Computational and Theoretical Chemistry Volume 1003, 1 January 2013, Pages 227

On the sizeconsistency of the reduceddensitymatrix method and the unitary invariant diagonal Nrepresentability conditions
Maho Nakata and James S. M. Anderson
AIP Advances 2, 032125 (2012); http://dx.doi.org/10.1063/1.4740246 (15 pages)

Relativistic quantum Monte Carlo method using zerothorder regular approximation Hamiltonian
Yutaka Nakatsuka, Takahito Nakajima,Maho Nakata, and Kimihiko Hirao
Journal of Chemical Physics, 132, 054102 (2010)
DOI:10.1063/1.3298912
Citation count: 4
 Strange Behaviors of Interiorpoint Methods for Solving Semidefinite Programming Problems in Polynomial Optimization
Hayato Waki, Maho Nakata, and Masakazu Muramatsu
Computational Optimization and Applications (accepted)
Computational Optimization and Applications
December 2012, Volume 53, Issue 3, pp 823844
Citation count:0 (6 by Google scholar, preprint)
 Size extensivity of the variational reduceddensitymatrix method
Maho Nakata, and Koji Yasuda
Physical Review A 80, 042109 (2009)
DOI:10.1103/PhysRevA.80.042109
Citation count: 2
 Variational calculation of secondorder reduced density matrices by strong Nrepresentability conditions and an accurate semidefinite programming solver
Maho Nakata, Bastiaan J. Braams, Katsuki Fujisawa, Mituhiro Fukuda, Jerome K. Percus, Makoto Yamashita, and Zhengji Zhao
Journal of chemical physics 128, 16 164113 (2008)
DOI:10.1063/1.2911696
Citation count: 14
 Largescale semidefinite programs in electronic structure calculation
M. Fukuda, J. Braams, M. Nakata, M. L. Overton, J. Percus, M. Yamashita, Z. Zhao.
Mathematical Programming B, 109 553580 (2007)
DOI10.1007/s101070060027y
Citation count: 11
 Valence ionization spectra of 4pielectron molecules with lowlying satellites involving npi and pipi transitions
Masahiro Ehara, Maho Nakata and Hiroshi Nakatsuji
Molecular Physics, 104:5, 971  982 (2006)
DOI: 10.1080/00268970500417861
Citation count: 4
 Simple Hamiltonians which exhibit drastic failures by variational determination of the twoparticle reduced density matrix with some well known Nrepresentability conditions.
M. Nakata, B. J. Braams, M. Fukuda, J. Percus, M. Yamashita, Z. Zhao.
Journal of Chemical Physics, 125, 244109 (2006)
DOI:10.1063/1.2406073
Citation count: 4
 Density matrix variational theory: Application to the potential energy surfaces and strongly correlated systems.
Maho Nakata, Masahiro Ehara and Hiroshi Nakatsuji
Journal of Chemical Physics, 116, 54325439 (2002)
DOI: 10.1063/1.1453961
Citation count: 60
 Variational calculations of fermion secondorder reduced density matrices by semidefinite programming algorithm.
Maho Nakata, Hiroshi Nakatsuji, Masahiro Ehara, Mituhiro Fukuda, Kazuhide Nakata, and Katsuki Fujisawa
Journal of Chemical Physics, 114, 82828292 (2001)
DOI:10.1063/1.1360199
Citation count: 114
 Direct determination of secondorder density matrix using density equation: Openshell system and excited state.
Maho Nakata, Masahiro Ehara, Koji Yasuda, and Hiroshi Nakatsuji
Journal of Chemical Physics, 112, 87728778 (2000)
DOI:10.1063/1.481531
Citation count: 29
 Direct determination of the density matrix using the density equation:
potential energy curves of HF, CH_4, BH_3, NH_3
M. Ehara, M. Nakata, H. Kou, K. Yasuda, H. Nakatsuji
Chemical Physics Letters, 305, 483488 (1999)
doi:10.1016/S00092614(99)003851
Citation count: 29
Conference papers (reffered only and in English only)
 ICNC
 SC
 MSC
 JETC
Book chapters (in English)
 SDPARA
 Semidefinite programming: Formulations and primaldual interiorpoint methods
Reduceddensitymatrix mechanics with Applications to ManyElectron Atoms and Molecules. Advances in Chemical Physics Vol.
134. Edited by D. A. Mazziotti, A John Wiely & Sons, Inc., Publication, ISBN 9780471790563, (2007).
Mituhiro Fukuda, Maho Nakata, Makoto Yamashita,
 Density Matrix Variational Theory: Strength of WeinholdWilson Inequalities
Fundamental World of Quantum Chemistry, Vol. I. Edited by Erkki J. Brandas and Eugene S. Kryachko, Kluwer Academic, New York, pp.543550, ISBN I40201290X, (2003).
Maho Nakata, Masahiro Ehara, and Hiroshi Nakatsuji
Nakata Maho