Numerous problems from diverse disciplines can be converted using
mathematical modelling to an equation defined on suitable abstract
spaces usually involving the n-dimensional Euclidean space or
Hilbert space or Banach Space or even more general spaces. The
solution of these equations is sought in closed form. But this is
possible only in special cases. That is why researchers and
practitioners use iterative algorithms, which seem to be the only
alternative. Due to the explosion of technology, faster and faster
computers become available. This development simply means that new
optimised algorithms should be developed to take advantage of these
improvements. That is exactly where we come in with our book
containing such algorithms with applications in problems from
numerical analysis and economics but also from other areas such as
biology, chemistry, physics, parallel computing, and engineering.
The book is an outgrowth of scientific research conducted over two
years. This book can be used by senior undergraduate students,
graduate students, researchers, and practitioners in the
aforementioned areas in the classroom or as reference material.
Readers should know the fundamentals of numerical-functional
analysis, economic theory, and Newtonian physics. Some knowledge of
computers and contemporary programming shall be very helpful to
readers.
General
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