The book provides a self-contained introduction to underlying
techniques, as well as a compendium of theory and a guide to the
author's Fortran 90 software for nonlinear algebraic systems and
global, constrained optimization with automatic result
verification. Besides introductory and survey material, the book
contains unique research results. The book also contains
non-traditional ideas concerning non-smooth optimization. Thus, the
book should be a valuable reference to applied mathematicians and
computational scientists and engineers. With numerous examples and
exercises, as well as leads for future research, the book can be
used as a graduate text or reference on interval arithmetic,
automatic differentiation and interval fixed point theory. The book
can also serve as a user's guide for the nonlinear equations and
optimization software, available free of charge from the author,
for the author's general Fortran 90 interval arithmetic package, or
for the associated automatic differentiation package. Audience:
Researchers in operations research, numerical analysis,
computational chemistry, computer-aided geometric design and
computational geometry, robot kinematics, remote sensing. Also
suitable for graduate and topics courses in numerical analysis,
optimization, and operations research.
General
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