Structured Matrices in Mathematics, Computer Science, and Engineering, Volumes 1 and 2Share this page
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
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.
Table of Contents
Table of Contents
Structured Matrices in Mathematics, Computer Science, and Engineering, Volumes 1 and 2
Graduate students and research mathematicians interested in linear and multilinear algebra, matrix theory, operator theory, numerical analysis, and systems theory and control.