Sums of squares and semidefinite program relaxations for polynomial optimization problems with structured sparsity H Waki, S Kim, M Kojima, M Muramatsu SIAM Journal on Optimization 17 (1), 218-242, 2006 | 486 | 2006 |

Algorithm 883: SparsePOP---a sparse semidefinite programming relaxation of polynomial optimization problems H Waki, S Kim, M Kojima, M Muramatsu, H Sugimoto ACM Transactions on Mathematical Software (TOMS) 35 (2), 15, 2008 | 202 | 2008 |

Sparsity in sums of squares of polynomials M Kojima, S Kim, H Waki Mathematical Programming 103 (1), 45-62, 2005 | 138 | 2005 |

Exploiting sparsity in SDP relaxation for sensor network localization S Kim, M Kojima, H Waki SIAM Journal on Optimization 20 (1), 192-215, 2009 | 102 | 2009 |

Generalized Lagrangian duals and sums of squares relaxations of sparse polynomial optimization problems S Kim, M Kojima, H Waki SIAM Journal on Optimization 15 (3), 697-719, 2005 | 93 | 2005 |

Facial reduction algorithms for conic optimization problems H Waki, M Muramatsu Journal of Optimization Theory and Applications 158, 188--215, 2013 | 85 | 2013 |

A general framework for convex relaxation of polynomial optimization problems over cones M Kojima, S Kim, H Waki Journal of the Operations Research Society of Japan 46 (2), 125-144, 2003 | 56 | 2003 |

Strange behaviors of interior-point methods for solving semidefinite programming problems in polynomial optimization H Waki, M Nakata, M Muramatsu Computational Optimization and Applications 53 (3), 823-844, 2012 | 53 | 2012 |

Algorithm 920: SFSDP: a Sparse Version of Full SemiDefinite Programming Relaxation for Sensor Network Localization Problems S KIM, M KOJIMA, H WAKI, M YAMASHITA ACM Transactions on Mathematical Software (TOMS) 38 (4), 27:1--27:19, 2011 | 43 | 2011 |

How to generate weakly infeasible semidefinite programs via Lasserre’s relaxations for polynomial optimization H Waki Optimization Letters 6 (8), 1883-1896, 2012 | 34 | 2012 |

Minimization of Akaike's information criterion in linear regression analysis via mixed integer nonlinear program K Kimura, H Waki Optimization Methods and Software 33 (3), 633-649, 2018 | 32 | 2018 |

A facial reduction algorithm for finding sparse SOS representations H Waki, M Muramatsu Operations Research Letters 38 (5), 361-365, 2010 | 27 | 2010 |

Petascale general solver for semidefinite programming problems with over two million constraints K Fujisawa, T Endo, Y Yasui, H Sato, N Matsuzawa, S Matsuoka, H Waki 2014 IEEE 28th International Parallel and Distributed Processing Symposium …, 2014 | 17 | 2014 |

Application of Facial Reduction to State Feedback Control Problem H Waki, N Sebe International Journal of Control, 2016 | 12* | 2016 |

Optimization in the real world K Fujisawa, Y Shinano, H Waki Springer Japan, 2016 | 9 | 2016 |

Perturbation analysis of singular semidefinite programs and its applications to control problems Y Sekiguchi, H Waki Journal of Optimization Theory and Applications 188 (1), 52-72, 2021 | 8 | 2021 |

Reduction of *H*_{∞} state feedback control problems for the MIMO servo systemsH Waki, N Sebe Asian Journal of Control 22 (3), 1025-1037, 2020 | 8 | 2020 |

H_{∞} performance limitations analysis for SISO systems: A dual LMI approachY Ebihara, H Waki, N Sebe 2015 54th IEEE Conference on Decision and Control (CDC), 6629-6634, 2015 | 6 | 2015 |

AN EXTENSION OF THE ELIMINATION METHOD FOR A SPARSE SOS POLYNOMIAL H Waki, M Muramatsu Journal of the Operations Research Society of Japan 54 (4), 161-190, 2011 | 6 | 2011 |

Reduction of SDPs in H_{∞}control of SISO systems and performance limitations analysisH Waki, Y Ebihara, N Sebe 2016 IEEE 55th Conference on Decision and Control (CDC), 646-651, 2016 | 5 | 2016 |