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Tight lower bounds on the convergence rate of primal-dual dynamics for equality constrained convex problems
We study the exponential stability of continuous-time primal-dual gradient flow dynamics for
convex optimization problems with linear equality constraints. Without making any …
convex optimization problems with linear equality constraints. Without making any …
On the global exponential stability of primal-dual dynamics for convex problems with linear equality constraints
We examine global exponential stability of the primal-dual gradient flow dynamics for
differentiable convex problems with linear equality constraints. We show that if the set of …
differentiable convex problems with linear equality constraints. We show that if the set of …
Accelerated forward–backward and Douglas–Rachford splitting dynamics
We examine convergence properties of continuous-time variants of accelerated Forward–
Backward (FB) and Douglas–Rachford (DR) splitting algorithms for nonsmooth composite …
Backward (FB) and Douglas–Rachford (DR) splitting algorithms for nonsmooth composite …
An Interconnected Systems Approach to Convergence Analysis of Discrete-Time Primal-Dual Algorithms
S Kelly, JW Simpson-Porco - 2024 American Control …, 2024 - ieeexplore.ieee.org
We study the geometric convergence rate of discrete-time primal-dual algorithms for solving
strongly-convex equality-constrained optimization problems. Our approach separates the …
strongly-convex equality-constrained optimization problems. Our approach separates the …
Stability of Primal-Dual Gradient Flow Dynamics for Multi-Block Convex Optimization Problems
We examine stability properties of primal-dual gradient flow dynamics for composite convex
optimization problems with multiple, possibly nonsmooth, terms in the objective function …
optimization problems with multiple, possibly nonsmooth, terms in the objective function …
A Unified Analysis of Saddle Flow Dynamics: Stability and Algorithm Design
This work examines the conditions for asymptotic and exponential convergence of saddle
flow dynamics of convex-concave functions. First, we propose an observability-based …
flow dynamics of convex-concave functions. First, we propose an observability-based …