Characterization of the Convergence Rate of the Augmented Lagrange for the Nonlinear Semidefinite Optimization Problem

Characterization of the Convergence Rate of the Augmented Lagrange for the Nonlinear Semidefinite Optimization Problem

The convergence rate of the augmented Lagrangian method (ALM) for solving the nonlinear semidefinite optimization problem is studied. Under the Jacobian uniqueness conditions, when a multiplier vector <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="i...

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Bibliographic Details
Main Authors: Yule Zhang, Jia Wu, Jihong Zhang, Haoyang Liu
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Mathematics
Subjects:
nonlinear semidefinite optimization problem
Jacobian uniqueness conditions
augmented Lagrange method
convergence rate
perturbation function
Online Access:https://www.mdpi.com/2227-7390/13/12/1946
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