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19 p, 655.9 KB A preconditioning proximal Newton method for nondifferentiable convex optimization / Qi, Liqun ; Chen, Xiaojun
We propose a proximal Newton method for solving nondifferentiable convex optimization. This method combines the generalized Newton method with Rockafellar's proximal point algorithm. At each step, the proximal point is found approximately and the regularization matrix is preconditioned to overcome inexactness of this approximation. [...]
1997
Mathematical Programming, vol. 76 n. 3 (1997) p. 411-429  
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