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Mathematical Modeling for the Solution of Equations and Systems of Equations with Applications. Volume IV (Hardcover)
Loot Price: R6,317
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Mathematical Modeling for the Solution of Equations and Systems of Equations with Applications. Volume IV (Hardcover)
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The exponential growth of technology forces all disciplines to
adjust accordingly, so they can meet the demands of a very dynamic
world that heavily depends upon it. Therefore, mathematics cannot
be an exception. In fact, mathematics should be the first to adjust
and in fact it is. In this volume, which is a continuation of the
previous three under the same title, we present state-of-the-art
iterative methods for solving equations related to concrete
problems from diverse areas such as applied mathematics,
mathematical: biology, chemistry, economics, physics and also
engineering to mention a few. Most of these methods are new and a
few are old but still very popular. One major problem with
iterative methods is that the convergence domain is small in
general. We have introduced a technique that finds a smaller set
than before containing the iterates leading to tighter Lipschitz
functions than before. This way and under the same computational
effort, we derive: weaker sufficient convergence criteria (leading
to a wider choice of initial points); tighter error bounds on the
distances involved (i.e., fewer iterates are needed to obtain a
desired predetermined accuracy), and a more precise information on
the location of the solution. These advantages are considered major
achievements in computational disciplines. The volume requires
knowledge of linear algebra, numerical functional analysis and
familiarity with contemporary computing programing. It can be used
by researchers, practitioners, senior undergraduate and graduate
students as a source material or as a required textbook in the
classroom.
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