Nakata Maho's publications

Journal Papers (in English)

• All about RIKEN Integrated Cluster of Clusters (RICC)

  M. Nakata International Journal of Networking and Computing Vol 2, No 2 (2012) pp. 206-215
  
  

• 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 second-order reduced density matrix method and the two-dimensional Hubbard model

  James S.M. Anderson, Maho Nakata, Ryo Igarashi, Katsuki Fujisawa, Makoto Yamashita Computational and Theoretical Chemistry Volume 1003, 1 January 2013, Pages 22-7
  
  

• On the size-consistency of the reduced-density-matrix method and the unitary invariant diagonal N-representability 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 zeroth-order 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 Interior-point 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 823-844
  
  Citation count:0 (6 by Google scholar, preprint)

• Size extensivity of the variational reduced-density-matrix method

  Maho Nakata, and Koji Yasuda
  Physical Review A 80, 042109 (2009)
  DOI:10.1103/PhysRevA.80.042109
  Citation count: 2

• Variational calculation of second-order reduced density matrices by strong N-representability 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

• Large-scale semidefinite programs in electronic structure calculation

  M. Fukuda, J. Braams, M. Nakata, M. L. Overton, J. Percus, M. Yamashita, Z. Zhao.
  Mathematical Programming B, 109 553-580 (2007)
  DOI10.1007/s10107-006-0027-y
  Citation count: 11

• Valence ionization spectra of 4pi-electron molecules with low-lying satellites involving n-pi and pi-pi 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 two-particle reduced density matrix with some well known N-representability 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, 5432-5439 (2002)
  DOI: 10.1063/1.1453961
  Citation count: 60

• Variational calculations of fermion second-order 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, 8282-8292 (2001)
  DOI:10.1063/1.1360199
  Citation count: 114

  
  
• Direct determination of second-order density matrix using density equation: Open-shell system and excited state.

  Maho Nakata, Masahiro Ehara, Koji Yasuda, and Hiroshi Nakatsuji
  Journal of Chemical Physics, 112, 8772-8778 (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, 483-488 (1999)
  doi:10.1016/S0009-2614(99)00385-1
  Citation count: 29

Conference papers (reffered only and in English only)

• ICNC

  
  

  • SC

    
    

    • MSC

      
      

      • JETC

        
        

        Book chapters (in English)

        • SDPARA

          
          

          • Semidefinite programming: Formulations and primal-dual interior-point methods

            Reduced-density-matrix mechanics with Applications to Many-Electron Atoms and Molecules. Advances in Chemical Physics Vol. 134. Edited by D. A. Mazziotti, A John Wiely & Sons, Inc., Publication, ISBN 978-0-471-79056-3, (2007).
            Mituhiro Fukuda, Maho Nakata, Makoto Yamashita,

          • Density Matrix Variational Theory: Strength of Weinhold-Wilson Inequalities

            Fundamental World of Quantum Chemistry, Vol. I. Edited by Erkki J. Brandas and Eugene S. Kryachko, Kluwer Academic, New York, pp.543-550, ISBN I-4020-1290-X, (2003).
            Maho Nakata, Masahiro Ehara, and Hiroshi Nakatsuji

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          Nakata Maho