Duality for semi-definite and semi-infinite programming [PDF]
Optimization, 2003 In this article, we study semi-definite and semi-infinite programming problems (SDSIP), which includes semi-infinite linear programs and semi-definite programs as special cases. We establish that a uniform duality between the homogeneous (SDSIP) and its Lagrangian-type dual problem is equivalent to the closedness condition of certain cone.
S J Li, K L Teo, X Q Yang
exaly +3 more sources
A flexible semi-definite programming approach for source localization problems [PDF]
Digital Signal Processing, 2013 In this paper, a new semi-definite programming approach is devised for approximating nonlinear estimation problems. The main idea is to include the noise components as parameters of interests, which increases the flexibility in the convex optimization formulation.
Frankie K. W. Chan +3 more
semanticscholar +2 more sources
Introducing Moment: A toolkit for semi-definite programming with moment matrices
CoRRNon-commutative polynomial optimization is a powerful technique with numerous applications in quantum nonlocality, quantum key distribution, causal inference, many-body physics, amongst others.
Andrew J. P. Garner, Mateus Ara'ujo
semanticscholar +3 more sources
An Interior Point-Proximal Method of Multipliers for Linear Positive Semi-Definite Programming [PDF]
Journal of Optimization Theory and Applications, 2020 In this paper we generalize the Interior Point-Proximal Method of Multipliers (IP-PMM) presented in Pougkakiotis and Gondzio (Comput Optim Appl 78:307–351, 2021.
Spyridon Pougkakiotis, J. Gondzio
semanticscholar +1 more source
Optimization, 2023 Static robust optimization has played an important role in radiotherapy, where the decisions aim to safeguard against all possible realizations of uncertainty.
V. Jeyakumar, G. Li, D. Woolnough, H. Wu
semanticscholar +1 more source
An accelerated primal‐dual method for semi‐definite programming relaxation of optimal power flow
IET Energy Systems Integration, 2023 The application of a semi‐definite programming (SDP) approach to the Alternating Current Optimal Power Flow problem has attracted significant attention in recent years.
Zhan Shi +6 more
doaj +1 more source
An Optimal Polarization SAR Three-Component Target Decomposition Based on Semi-Definite Programming
Remote Sensing, 2023 The model-based polarimetric synthetic aperture radar (PolSAR) target decomposition decodes the scattering mechanism of the target by analyzing the essential scattering components.
Tingting Wang +5 more
doaj +1 more source
Optimal power flow with small signal stability constraints [PDF]
Científica, 2022 A power system presents different stability problems, the small-signal stability problem receives attention to the occasional oscillations and the change in its demand, for this and the need to optimize resources a smallsignal stability constraint is ...
José Antonio Gándara-Capistrán +1 more
doaj +1 more source
Fusion Localization Algorithm Based on Robust IMM Model Combined with Semi-Definite Programming
Actuators, 2022 With the continuous development of wireless sensor network (WSN) technology, WSN has gradually become one of the key technologies of the Internet, and is widely used in indoor target location technology. However, the obstacles will have a great influence
Yan Wang, Yang Cheng, Long Cheng
doaj +1 more source
A Novel Method for Optimal Control of Piecewise Affine Systems Using Semi-Definite Programming [PDF]
International Journal of Industrial Electronics, Control and Optimization, 2020 : In this paper, a novel optimal control design method by discontinuous quadratic Lyapunov function and continuous quadratic Lyapunov function for 2-dimensional piecewise affine systems via semi-definite programming and LMI constraints is proposed.In ...
Majid Akbarian +2 more
doaj +1 more source