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Giovanni Fantuzzi
Tytuł
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Chordal decomposition in operator-splitting methods for sparse semidefinite programs
Y Zheng, G Fantuzzi, A Papachristodoulou, P Goulart, A Wynn
Mathematical Programming 180 (1), 489-532, 2020
702020
Fast ADMM for semidefinite programs with chordal sparsity
Y Zheng, G Fantuzzi, A Papachristodoulou, P Goulart, A Wynn
2017 American Control Conference (ACC), 3335-3340, 2017
552017
Bounds for deterministic and stochastic dynamical systems using sum-of-squares optimization
G Fantuzzi, D Goluskin, D Huang, SI Chernyshenko
SIAM Journal on Applied Dynamical Systems 15 (4), 1962-1988, 2016
472016
Bounds on mean energy in the Kuramoto–Sivashinsky equation computed using semidefinite programming
D Goluskin, G Fantuzzi
Nonlinearity 32 (5), 1705, 2019
382019
Sparse sum-of-squares (SOS) optimization: A bridge between DSOS/SDSOS and SOS optimization for sparse polynomials
Y Zheng, G Fantuzzi, A Papachristodoulou
2019 American Control Conference (ACC), 5513-5518, 2019
212019
Fast ADMM for sum-of-squares programs using partial orthogonality
Y Zheng, G Fantuzzi, A Papachristodoulou
IEEE Transactions on Automatic Control 64 (9), 3869-3876, 2018
212018
Bounding extreme events in nonlinear dynamics using convex optimization
G Fantuzzi, D Goluskin
SIAM Journal on Applied Dynamical Systems 19 (3), 1823-1864, 2020
172020
Exploiting sparsity in the coefficient matching conditions in sum-of-squares programming using ADMM
Y Zheng, G Fantuzzi, A Papachristodoulou
IEEE control systems letters 1 (1), 80-85, 2017
172017
Bounds on heat transfer for Bénard–Marangoni convection at infinite Prandtl number
G Fantuzzi, A Pershin, A Wynn
Journal of Fluid Mechanics 837, 562-596, 2018
152018
Fast ADMM for homogeneous self-dual embedding of sparse SDPs
Y Zheng, G Fantuzzi, A Papachristodoulou, P Goulart, A Wynn
IFAC-PapersOnLine 50 (1), 8411-8416, 2017
152017
Construction of an optimal background profile for the Kuramoto–Sivashinsky equation using semidefinite programming
G Fantuzzi, A Wynn
Physics letters A 379 (1-2), 23-32, 2015
152015
Finding extremal periodic orbits with polynomial optimization, with application to a nine-mode model of shear flow
MV Lakshmi, G Fantuzzi, JD Fernández-Caballero, Y Hwang, ...
SIAM Journal on Applied Dynamical Systems 19 (2), 763-787, 2020
142020
Bounds for Rayleigh–Bénard convection between free-slip boundaries with an imposed heat flux
G Fantuzzi
Journal of Fluid Mechanics 837, 2018
132018
Optimal bounds with semidefinite programming: an application to stress-driven shear flows
G Fantuzzi, A Wynn
Physical Review E 93 (4), 043308, 2016
132016
Bounds on heat transport for convection driven by internal heating
A Arslan, G Fantuzzi, J Craske, A Wynn
Journal of Fluid Mechanics 919, 2021
92021
The background method: Theory and computations
G Fantuzzi, A Arslan, A Wynn
Philosophical Transactions of the Royal Society A 380 (2225), 20210038, 2022
82022
Chordal and factor-width decompositions for scalable semidefinite and polynomial optimization
Y Zheng, G Fantuzzi, A Papachristodoulou
Annual Reviews in Control 52, 243-279, 2021
72021
Optimization with affine homogeneous quadratic integral inequality constraints
G Fantuzzi, A Wynn, PJ Goulart, A Papachristodoulou
IEEE Transactions on Automatic Control 62 (12), 6221-6236, 2017
72017
Decomposition and completion of sum-of-squares matrices
Y Zheng, G Fantuzzi, A Papachristodoulou
2018 IEEE Conference on Decision and Control (CDC), 4026-4031, 2018
62018
Sum-of-squares chordal decomposition of polynomial matrix inequalities
Y Zheng, G Fantuzzi
Mathematical Programming, 1-38, 2021
52021
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