A feasible direction algorithm for general nonlinear semidefinite programming
Sign Up to like & getrecommendations! Published in 2017 at "Structural and Multidisciplinary Optimization"
DOI: 10.1007/s00158-016-1564-5
Abstract: This paper deals with nonlinear smooth optimization problems with equality and inequality constraints, as well as semidefinite constraints on nonlinear symmetric matrix-valued functions. A new semidefinite programming algorithm that takes advantage of the structure of… read more here.
Keywords: direction; semidefinite programming; direction algorithm; optimization ... See more keywords
Exact augmented Lagrangian functions for nonlinear semidefinite programming
Sign Up to like & getrecommendations! Published in 2018 at "Computational Optimization and Applications"
DOI: 10.1007/s10589-018-0017-z
Abstract: In this paper, we study augmented Lagrangian functions for nonlinear semidefinite programming (NSDP) problems with exactness properties. The term exact is used in the sense that the penalty parameter can be taken appropriately, so a… read more here.
Keywords: programming; functions nonlinear; semidefinite programming; nonlinear semidefinite ... See more keywords
T-positive semidefiniteness of third-order symmetric tensors and T-semidefinite programming
Sign Up to like & getrecommendations! Published in 2021 at "Computational Optimization and Applications"
DOI: 10.1007/s10589-020-00231-w
Abstract: The T-product for third-order tensors has been used extensively in the literature. In this paper, we first introduce first-order and second-order T-derivatives for the multi-variable real-valued function with the tensor T-product. Inspired by an equivalent… read more here.
Keywords: order; third order; symmetric tensors; positive semidefiniteness ... See more keywords
Proximal-stabilized semidefinite programming
Sign Up to like & getrecommendations! Published in 2024 at "Computational Optimization and Applications"
DOI: 10.1007/s10589-024-00614-3
Abstract: A regularized version of the primal-dual Interior Point Method (IPM) for the solution of Semidefinite Programming Problems (SDPs) is presented in this paper. Leveraging on the proximal point method, a novel Proximal Stabilized Interior Point… read more here.
Keywords: method; semidefinite programming; point method; proximal stabilized ... See more keywords
Uniqueness of codes using semidefinite programming
Sign Up to like & getrecommendations! Published in 2019 at "Designs, Codes, and Cryptography"
DOI: 10.1007/s10623-018-0589-8
Abstract: For $$n,d,w \in \mathbb {N}$$n,d,w∈N, let A(n, d, w) denote the maximum size of a binary code of word length n, minimum distance d and constant weight w. Schrijver recently showed using semidefinite programming that $$A(23,8,11)=1288$$A(23,8,11)=1288, and the second author that $$A(22,8,11)=672$$A(22,8,11)=672 and $$A(22,8,10)=616$$A(22,8,10)=616.… read more here.
Keywords: uniqueness codes; using semidefinite; codes using; semidefinite programming ... See more keywords
Sparse sub-gaussian random projections for semidefinite programming relaxations
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Global Optimization"
DOI: 10.1007/s10898-025-01559-5
Abstract: Random projection, a dimensionality reduction technique, has been found useful in recent years for reducing the size of optimization problems. In this paper, we explore the use of sparse sub-gaussian random projections to approximate semidefinite… read more here.
Keywords: gaussian random; semidefinite programming; sub gaussian; random projections ... See more keywords
Adaptive grid semidefinite programming for finding optimal designs
Sign Up to like & getrecommendations! Published in 2018 at "Statistics and Computing"
DOI: 10.1007/s11222-017-9741-y
Abstract: We find optimal designs for linear models using a novel algorithm that iteratively combines a semidefinite programming (SDP) approach with adaptive grid techniques. The proposed algorithm is also adapted to find locally optimal designs for… read more here.
Keywords: semidefinite programming; find optimal; adaptive grid; proposed algorithm ... See more keywords
A proximal augmented method for semidefinite programming problems
Sign Up to like & getrecommendations! Published in 2021 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2021.07.007
Abstract: Abstract A proximal augmented method for solving semidefinite programs is introduced. This method is based on the Augmented Lagrangian method. We study the theoretical properties and show the convergence of the new approach under weaker… read more here.
Keywords: proximal augmented; programming problems; method semidefinite; semidefinite programming ... See more keywords
Converging outer approximations to global attractors using semidefinite programming
Sign Up to like & getrecommendations! Published in 2021 at "Automatica"
DOI: 10.1016/j.automatica.2021.109900
Abstract: This paper develops a method for obtaining guaranteed outer approximations for global attractors of continuous and discrete time nonlinear dynamical systems. The method is based on a hierarchy of semidefinite programming problems of increasing size… read more here.
Keywords: semidefinite programming; global attractor; global attractors; outer approximations ... See more keywords
HBSP: a hybrid bilinear and semidefinite programming approach for aligning partially overlapping point clouds
Sign Up to like & getrecommendations! Published in 2024 at "Scientific Reports"
DOI: 10.1038/s41598-024-79744-x
Abstract: In many applications, there is a need for algorithms that can align partially overlapping point clouds while remaining invariant to corresponding transformations. This research presents a method that achieves these goals by minimizing a binary… read more here.
Keywords: semidefinite programming; hbsp hybrid; point clouds; overlapping point ... See more keywords
An Advanced Measurement Placement Method for Power System Observability Using Semidefinite Programming
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Systems Journal"
DOI: 10.1109/jsyst.2017.2688470
Abstract: This paper presents an advanced method for joint placement of unsynchronized conventional measurements and synchronized phasorial measurements in unobservable power systems. Observability checking and determination of maximal observable islands are carried out either by a… read more here.
Keywords: semidefinite programming; system; method; power ... See more keywords