2001;
671 pp;
Softcover
Product Code: CONMSET

List Price: $169.00

AMS Member Price: $135.20

MAA member Price: $152.10

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# Structured Matrices in Mathematics, Computer Science, and Engineering, Volumes 1 and 2

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Many important problems in applied sciences, mathematics, and engineering can
be reduced to matrix problems. Moreover, various applications often introduce a
special structure into the corresponding matrices, so that their entries can be
described by a certain compact formula. Classic examples include Toeplitz
matrices, Hankel matrices, Vandermonde matrices, Cauchy matrices, Pick
matrices, Bezoutians, controllability and observability matrices, and
others. Exploiting these and the more general structures often allows us to
obtain elegant solutions to mathematical problems as well as to design more
efficient practical algorithms for a variety of applied engineering
problems.

Structured matrices have been under close study for a long time and in quite
diverse (and seemingly unrelated) areas, for example, mathematics, computer
science, and engineering. Considerable progress has recently been made in all
these areas, and especially in studying the relevant numerical and
computational issues. In the past few years, a number of practical algorithms
blending speed and accuracy have been developed. This significant growth is
fully reflected in these volumes, which collect 38 papers devoted to the
numerous aspects of the topic.

The collection of the contributions to these volumes offers a flavor of the
plethora of different approaches to attack structured matrix problems. The
reader will find that the theory of structured matrices is positioned to
bridge diverse applications in the sciences and engineering, deep mathematical
theories, as well as computational and numerical issues. The presentation
fully illustrates the fact that the techniques of engineers, mathematicians, and
numerical analysts nicely complement each other, and they all contribute to
one unified theory of structured matrices.

The book is published in two volumes. The first contains articles on
interpolation, system theory, signal and image processing, control theory, and
spectral theory. Articles in the second volume are devoted to fast algorithms,
numerical and iterative methods, and various applications.

#### Readership

Graduate students and research mathematicians interested in linear and multilinear algebra, matrix theory, operator theory, numerical analysis, and systems theory and control.