PDHG converges locally linearly for SDP under strict complementarity or primal-dual nondegeneracy, and can converge sublinearly when both fail.
Bauschke and Patrick L
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A passivity-based controller with randomized block-coordinate primal-dual updates and passive delay modeling restores nominal frequency and solves constrained economic dispatch while achieving mean-square convergence in delayed sampled-data systems.
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Local Linear Convergence of the Primal-Dual Hybrid Gradient Method for Semidefinite Programming
PDHG converges locally linearly for SDP under strict complementarity or primal-dual nondegeneracy, and can converge sublinearly when both fail.
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Delay-Robust Secondary Frequency Control via Passive Interconnection and Randomized Block Updates
A passivity-based controller with randomized block-coordinate primal-dual updates and passive delay modeling restores nominal frequency and solves constrained economic dispatch while achieving mean-square convergence in delayed sampled-data systems.