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math.OC2025
Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization
Marouan Handa, Marek Tyburec, Giovanni Fantuzzi +2
The Arrow Decomposition (AD) technique, initially introduced in [Mathematical Programming 190(1-2) (2021), pp 105-134], demonstrated superior scalability over the classical chordal…
math.OC2025
Term-sparse polynomial optimization for the design of frame structures
Marouan Handa, Marek Tyburec, Michal Kočvara
This work investigates an efficient solution to two fundamental problems in topology optimization of frame structures. The first one involves minimizing structural compliance under…