Let T be a (possibly nonlinear) continuous operator on Hilbert space. If, for some starting
vector x, the orbit sequence {T kx, k= 0, 1,...} converges, then the limit z is a fixed point of T; …

It is learned from elementary textbooks that the angular resolution of a perfect optical
telescope is limited by diffraction to an angle in radians of about A ID, the ratio of the …

Much has been written on the theory and applications of iterative algorithms, so any book on
the subject must be but a glimpse. The topics included here are those most familiar to me …

This book explains how mathematical tools can be used to solve problems in signal
processing. Assuming an advanced undergraduate-or graduate-level understanding of …

Iterative Optimization in Inverse Problems brings together a number of important iterative
algorithms for medical imaging, optimization, and statistical estimation. It incorporates recent …

Two methods of matrix inversion are compared for use in an image reconstruction algorithm.
The first is based on energy minimization using a Hopfield neural network. This is compared …

Give Your Students the Proper Groundwork for Future Studies in Optimization A First Course
in Optimization is designed for a one-semester course in optimization taken by advanced …

The problem of reconstructing a non-negative function from finitely many values of its Fourier
transform is a problem of approximating one function by another and, as such, is analogous …

In reconstructing an object function F (r) from finitely many noisy linear-functional values∫ F
(r) G_n (r) dr we face the problem that finite data, noisy or not, are insufficient to specify F (r) …

The purpose of this paper is to reappraise the linearizing methods frequently used to solve
inverse scattering problems. We describe inversion algorithms based on the Born and the …