Projection method for solving a singular system of linear equations and its applications K Tanabe Numerische Mathematik 17, 203-214, 1971 | 653 | 1971 |

Selected papers of hirotugu akaike H Akaike, E Parzen, K Tanabe, G Kitagawa Springer Science & Business Media, 1998 | 610 | 1998 |

Whole mantle P-wave travel time tomography H Inoue, Y Fukao, K Tanabe, Y Ogata Physics of the Earth and Planetary Interiors 59 (4), 294-328, 1990 | 456 | 1990 |

Centered Newton method for mathematical programming K Tanabe System Modelling and Optimization: Proceedings of the 13th IFIP Conference …, 1988 | 143 | 1988 |

A geometric method in nonlinear programming K Tanabe Journal of Optimization Theory and Applications 30, 181-210, 1980 | 143 | 1980 |

Selected Papers of Hirotugu Akaike E Parzen, K Tanabe, G Kitagawa Springer Science & Business Media, 2012 | 95 | 2012 |

An exact Cholesky decomposition and the generalized inverse of the variance–covariance matrix of the multinomial distribution, with applications K Tanabe, M Sagae Journal of the Royal Statistical Society: Series B (Methodological) 54 (1 …, 1992 | 92 | 1992 |

Numerical algorithms for the Moore-Penrose inverse of a matrix: direct methods N Shinozaki, M Sibuya, K Tanabe Annals of the Institute of Statistical Mathematics 24, 193-203, 1972 | 78 | 1972 |

Characterization of linear stationary iterative processes for solving a singular system of linear equations K Tanabe Numerische Mathematik 22, 349-359, 1974 | 67 | 1974 |

Analysis of renal cell carcinoma as a first step for developing mass spectrometry-based diagnostics K Yoshimura, LC Chen, MK Mandal, T Nakazawa, Z Yu, T Uchiyama, ... Journal of The American Society for Mass Spectrometry 23 (10), 1741-1749, 2012 | 64 | 2012 |

Upper and lower bounds for the arithmetic-geometric-harmonic means of positive definite matrices M Sagae, K Tanabe Linear and Multilinear Algebra 37 (4), 279-282, 1994 | 62 | 1994 |

Mathematical programming: Recent developments and applications M Iri, K Tanabe Springer, 1989 | 59 | 1989 |

Continuous Newton-Raphson method for solving and underdetermined system of nonlinear equations K Tanabe Nonlinear Analysis: Theory, Methods & Applications 3 (4), 495-503, 1979 | 58 | 1979 |

Solid Acid and Base Catalyst in Catalysis Science and Technology K Tanabe by Anderson, JR, Boudart, M., Springer, Berlin 2, 233, 1981 | 52 | 1981 |

Convergence of Rump's method for inverting arbitrarily ill-conditioned matrices S Oishi, K Tanabe, T Ogita, SM Rump Journal of Computational and Applied Mathematics 205 (1), 533-544, 2007 | 48 | 2007 |

Dual differential geometry associated with the Kullbaek-Leibler information on the Gaussian distributions and its 2-parameter deformations S Yoshizawa, K Tanabe SUT Journal of Mathematics 35 (1), 113-137, 1999 | 44 | 1999 |

Real-time diagnosis of chemically induced hepatocellular carcinoma using a novel mass spectrometry-based technique K Yoshimura, MK Mandal, M Hara, H Fujii, LC Chen, K Tanabe, K Hiraoka, ... Analytical biochemistry 441 (1), 32-37, 2013 | 41 | 2013 |

Complementarity-enforcing centered Newton method for mathematical programming: global method K Tanabe 統計数理研究所共同研究リポート 5, 118-144, 1987 | 39 | 1987 |

Penalized logistic regression machines: New methods for statistical prediction 1 K Tanabe Proc. IBIS, Tokyo, 71-76, 2001 | 35 | 2001 |

Hydrogen in mechanically milled amorphous boron P Wang, S Orimo, K Tanabe, H Fujii Journal of alloys and compounds 350 (1-2), 218-221, 2003 | 34 | 2003 |