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Hayato Waki
Hayato Waki
Institute of Mathematics for Industry, Kyushu University
Verified email at imi.kyushu-u.ac.jp - Homepage
Title
Cited by
Cited by
Year
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
4862006
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
2022008
Sparsity in sums of squares of polynomials
M Kojima, S Kim, H Waki
Mathematical Programming 103 (1), 45-62, 2005
1382005
Exploiting sparsity in SDP relaxation for sensor network localization
S Kim, M Kojima, H Waki
SIAM Journal on Optimization 20 (1), 192-215, 2009
1022009
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
932005
Facial reduction algorithms for conic optimization problems
H Waki, M Muramatsu
Journal of Optimization Theory and Applications 158, 188--215, 2013
852013
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
562003
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
532012
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
432011
How to generate weakly infeasible semidefinite programs via Lasserre’s relaxations for polynomial optimization
H Waki
Optimization Letters 6 (8), 1883-1896, 2012
342012
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
322018
A facial reduction algorithm for finding sparse SOS representations
H Waki, M Muramatsu
Operations Research Letters 38 (5), 361-365, 2010
272010
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
172014
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
92016
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
82021
Reduction of H state feedback control problems for the MIMO servo systems
H Waki, N Sebe
Asian Journal of Control 22 (3), 1025-1037, 2020
82020
H performance limitations analysis for SISO systems: A dual LMI approach
Y Ebihara, H Waki, N Sebe
2015 54th IEEE Conference on Decision and Control (CDC), 6629-6634, 2015
62015
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
62011
Reduction of SDPs in Hcontrol of SISO systems and performance limitations analysis
H Waki, Y Ebihara, N Sebe
2016 IEEE 55th Conference on Decision and Control (CDC), 646-651, 2016
52016
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