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A dual algorithm for minimization of the LLT model |
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| Authors: | Hua-zhu Chen Jin-ping Song Xue-Cheng Tai |
| Institution: | 1. Institute of Mathematics, Henan University, Kaifeng, 475004, China 2. College of Mathematics and Information Science, Henan University, Kaifeng, 475004, China 3. Department of Mathematics, University of Bergen, 5009, Bergen, Norway |
| Abstract: | We apply the dual algorithm of Chambolle for the minimization of the LLT model. A convergence theorem is given for the proposed algorithm. The algorithm overcomes the numerical difficulties related to the non-differentiability of the LLT model. The dual algorithm is faster than the original gradient descent algorithm. Numerical experiments are supplied to demonstrate the efficiency of the algorithm. |
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