Deformable image registration is a fundamental task in medical image processing. Among
its most important applications, one may cite: 1) multi-modality fusion, where information …

A SURVEY OF NONLINEAR CONJUGATE GRADIENT METHODS ∗ 1. Introduction.
Conjugate gradient (CG) methods comprise a class of uncon- Page 1 A SURVEY OF …

We are delighted that SIAM is republishing our original 1983 book after what many in the
optimization field have regarded as “premature termination” by the previous publisher. At 12 …

One of the most effective methods for nonlinearly constrained optimization generates steps
by solving quadratic subproblems. This sequential quadratic programming (SQP) approach …

This book on unconstrained and bound constrained optimization can be used as a tutorial
for self-study or a reference by those who solve such problems in their work. It can also …

This book is on conjugate gradient methods for unconstrained optimization. The concept of
conjugacy was introduced by Magnus Hestenes and Garrett Birkhoff in 1936 in the context of …

An n-dimensional vector x is an array of n scalars x1, x2,..., xn. The notation x represents the
array when its elements are arranged in a column, while the notation xT represents the array …

We investigate the behavior of quasi-Newton algorithms applied to minimize a nonsmooth
function f, not necessarily convex. We introduce an inexact line search that generates a …

The development of software for minimization problems is often based on a line search
method. We consider line search methods that satisfy sufficient decrease and curvature …

This paper describes some numerical experiments with variable-storage quasi-Newton
methods for the optimization of some large-scale models (coming from fluid mechanics and …