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math.FA2011
Moreau's Decomposition in Banach Spaces
Patrick L. Combettes, Noli N. Reyes
Moreau's decomposition is a powerful nonlinear hilbertian analysis tool that has been used in various areas of optimization and applied mathematics. In this paper, it is extended t…
math.FA2009
Functions with Prescribed Best Linear Approximations
P. L. Combettes, N. N. Reyes
A common problem in applied mathematics is to find a function in a Hilbert space with prescribed best approximations from a finite number of closed vector subspaces. In the present…