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14th International Symposium on Mathematical Programming

1990 Mathematical programming  
A v ariation of bundle methods is presented by means of which such a t ype of problems can be solved.In this variation a dynamic polyhedral model of dom is generated by means of normal vectors.In addition  ...  If we use a decomposition approach in order to solve a minimization problem we often get an objective function in such a w a y that its domain dom 6 = n is not given explicitely to us.  ...  To solve this problem, a large variety of splitting methods has been proposed, the three most famous of these methods being the Forward-Backward scheme, the Peaceman-Rachford scheme and the Douglas-Rachford  ... 
doi:10.1007/bf01580875 fatcat:3jtclwmntzgjxkqs5uecombdaa

From finite differences to finite elements

Vidar Thomée
2001 Journal of Computational and Applied Mathematics  
di erence and then ÿnite element methods.  ...  This is an account of the history of numerical analysis of partial di erential equations, starting with the 1928 paper of Courant, Friedrichs, and Lewy, and proceeding with the development of ÿrst ÿnite  ...  1 We refer to original work with publication year; we sometimes also quote survey papers and textbooks which are numbered separately.  ... 
doi:10.1016/s0377-0427(00)00507-0 fatcat:hsf3rrgyyfgczfykhjq6zggi6i

2-D blind deconvolution by partitioning into coupled 1-D problems using discrete Radon transforms

H. Ahn, A.E. Yagle
Proceedings., International Conference on Image Processing  
Classical linear methods are then employed to estimate the deformation parameters, providing an explicit solution for the joint segmentation and registration problem.  ...  Tungyou Lin UCLA Since the gradients for different images of the same object are parallel at each point we use the norm of the outer product of the gradients as a measure of the difference of multimodal  ...  We characterize all these optimization problems, and to solve them, we propose fast iterative splitting algorithms, namely forwardbackward and Peaceman/Douglas-Rachford splitting iterations.  ... 
doi:10.1109/icip.1995.537409 dblp:conf/icip/AhnY95 fatcat:ecos74jfmfgonkuk5gsq2essp4