Time-Varying Semidefinite Programming: Path Following a Burer–Monteiro Factorization
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Publication:6136653
DOI10.1137/22m1529762arXiv2210.08387OpenAlexW4390540407MaRDI QIDQ6136653
Unnamed Author, Vyacheslav Kungurtsev, André Uschmajew, Jakub Mareček, Mareike Dressler
Publication date: 17 January 2024
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.08387
parametric optimizationsemidefinite programmingnonlinear programmingNewton type methodstime-varying constrained optimization
Semidefinite programming (90C22) Nonlinear programming (90C30) Newton-type methods (49M15) Sensitivity, stability, parametric optimization (90C31)
Cites Work
- Unnamed Item
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- Conic optimization via operator splitting and homogeneous self-dual embedding
- A warm-start approach for large-scale stochastic linear programs
- Lectures on convex optimization
- Near optimal control of queueing networks over a finite time horizon
- Perturbation bounds for matrix square roots and Pythagorean sums
- On parametric semidefinite programming
- Problems of distance geometry and convex properties of quadratic maps
- Complementarity and nondegeneracy in semidefinite programming
- On implementing a primal-dual interior-point method for conic quadratic optimization
- A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization
- A remark on the rank of positive semidefinite matrices subject to affine constraints
- Warmstarting the homogeneous and self-dual interior point method for linear and conic quadratic problems
- On the Burer-Monteiro method for general semidefinite programs
- Local minima and convergence in low-rank semidefinite programming
- On the behavior of the homogeneous self-dual model for conic convex optimization
- A strengthened Barvinok-Pataki bound on SDP rank
- On the Rank of Extreme Matrices in Semidefinite Programs and the Multiplicity of Optimal Eigenvalues
- On Interior-Point Warmstarts for Linear and Combinatorial Optimization
- Low-Rank Optimization on the Cone of Positive Semidefinite Matrices
- An Interior-Point Method for Minimizing the Maximum Eigenvalue of a Linear Combination of Matrices
- Scalable Low-Rank Semidefinite Programming for Certifiably Correct Machine Perception
- A New Unblocking Technique to Warmstart Interior Point Methods Based on Sensitivity Analysis
- Separated Continuous Conic Programming: Strong Duality and an Approximation Algorithm
- Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
- Introduction to Numerical Continuation Methods
- Reoptimization With the Primal-Dual Interior Point Method
- Adjoint-Based Predictor-Corrector Sequential Convex Programming for Parametric Nonlinear Optimization
- Time-Varying Semidefinite Programs
- Rank Optimality for the Burer--Monteiro Factorization
- Operator Splitting for a Homogeneous Embedding of the Linear Complementarity Problem
- Lipschitz Analysis of Generalized Phase Retrievable Matrix Frames
- Deterministic Guarantees for Burer‐Monteiro Factorizations of Smooth Semidefinite Programs
- Quotient Geometry with Simple Geodesics for the Manifold of Fixed-Rank Positive-Semidefinite Matrices
- An Algorithm for Degenerate Nonlinear Programming with Rapid Local Convergence
- Bottleneck Problems and Dynamic Programming
- Online learning of quantum states
- On Computing the Nonlinearity Interval in Parametric Semidefinite Optimization
- Handbook of semidefinite programming. Theory, algorithms, and applications
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