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Giovanni Fantuzzi
Giovanni Fantuzzi
FAU Erlangen-Nürnberg
Verified email at fau.de - Homepage
Title
Cited by
Cited by
Year
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
942020
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
702017
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
702016
Bounds on mean energy in the Kuramoto–Sivashinsky equation computed using semidefinite programming
D Goluskin, G Fantuzzi
Nonlinearity 32 (5), 1705, 2019
562019
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
372021
Bounding extreme events in nonlinear dynamics using convex optimization
G Fantuzzi, D Goluskin
SIAM journal on applied dynamical systems 19 (3), 1823-1864, 2020
312020
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
272019
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
262018
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
222017
The background method: theory and computations
G Fantuzzi, A Arslan, A Wynn
Philosophical Transactions of the Royal Society A 380 (2225), 20210038, 2022
212022
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
202020
Bounds for Rayleigh–Bénard convection between free-slip boundaries with an imposed heat flux
G Fantuzzi
Journal of Fluid Mechanics 837, R5, 2018
192018
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
182017
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
182015
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
172018
Bounds on heat transport for convection driven by internal heating
A Arslan, G Fantuzzi, J Craske, A Wynn
Journal of Fluid Mechanics 919, A15, 2021
162021
Sum-of-squares chordal decomposition of polynomial matrix inequalities
Y Zheng, G Fantuzzi
Mathematical Programming 197 (1), 71-108, 2023
142023
Optimal bounds with semidefinite programming: an application to stress-driven shear flows
G Fantuzzi, A Wynn
Physical Review E 93 (4), 043308, 2016
142016
Bounds for internally heated convection with fixed boundary heat flux
A Arslan, G Fantuzzi, J Craske, A Wynn
Journal of Fluid Mechanics 922, R1, 2021
122021
Analytical bounds on the heat transport in internally heated convection
A Kumar, A Arslan, G Fantuzzi, J Craske, A Wynn
Journal of Fluid Mechanics 938, A26, 2022
102022
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Articles 1–20