Applied Math Seminar

01/30/2020 - 11:00am to 12:00pm
POT 745
Speaker(s) / Presenter(s): 
Lothar Reichel, Kent State University
Title:  Linearized Krylov subspace Bregman iteration with nonnegativity constraint
Abstract: Bregman-type iterative methods have attracted considerable attention
in recent years due to their ease of implementation and the high quality of the
computed solutions they deliver. However, these iterative methods may 
require alarge number of iterations and this reduces their attractiveness. This talk
describes a linearized Bregman algorithm defined by projecting the 
problem tobe solved into an appropriately chosen low-dimensional Krylov subspace. The projection reduces both the number of iterations and the computational  effort required for each iteration. A variant of this solution method, in which nonnegativity of each computed iterate is imposed, also is described. 
The talk presents joint work with A. Buccini and M. Pasha.
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