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\begin{document}
\title{Solution of Linear Systems  \\
   Arising in Nonlinear Image Deblurring} 
\author{C.R. Vogel \\
Department of Mathematical Sciences, Montana State University \\
Bozeman, MT 59717-0240 USA}
\date{}
\maketitle
This paper deals with the solution of large linear systems which arise
when certain optimization methods are applied in image deblurring. An
unconstrained penalized least squares minimization problem with total
variation penalty is considered. Also addressed are several penalized
least squares problems with nonnegativity constraints imposed on the
solution. In each case, quasi-Newton techniques yield large structured
linear systems. We investigate various preconditioning strategies to 
efficiently solve these linear systems.

\end{document}

C. Vogel
