It takes the average reader and 42 minutes to read A Subproblem Algorithm for the Adaptive Augmented Lagrangian Method by Wenda Zhang
Assuming a reading speed of 250 words per minute. Learn more
An adaptive augmented Lagrangian algorithm is presented to overcome some undesirable behavior of traditional augmented Lagrangian methods. While the method has previously been proposed in \cite{AAL}, the goal in this thesis is to improve its practical performance. In particular, we propose an active set projected conjugate gradient (ASPCG) method for solving the subproblems of the adaptive augmented Lagrangian algorithm. The proposed ASPCG algorithm first estimates the optimal active set and then performs a projected conjugate gradient method to produce the exact or at least a good approximate solution updating the active set estimate when appropriate. We perform a series of numerical experiments to determine if the proposed algorithm is superior in some critical performance measures to the solver originally implemented in the adaptive augmented Lagrangian algorithm. In addition, we conduct experiments to monitor the performance of the adaptive augmented Lagrangian algorithm when some of its key features are modified.
A Subproblem Algorithm for the Adaptive Augmented Lagrangian Method by Wenda Zhang is 42 pages long, and a total of 10,584 words.
This makes it 14% the length of the average book. It also has 13% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes and 57 minutes to read A Subproblem Algorithm for the Adaptive Augmented Lagrangian Method aloud.
A Subproblem Algorithm for the Adaptive Augmented Lagrangian Method is suitable for students ages 8 and up.
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