2 papers
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…
math.OC2009
A parallel splitting method for weakly coupled monotone inclusions
H. Attouch, L. M. Briceno-Arias, P. L. Combettes
A parallel splitting method is proposed for solving systems of coupled monotone inclusions in Hilbert spaces. Convergence is established for a wide class of coupling schemes. Unlik…