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The purpose of Numerical Linear Algebra in Signals, Systems and
Control is to present an interdisciplinary book, blending linear
and numerical linear algebra with three major areas of electrical
engineering: Signal and Image Processing, and Control Systems and
Circuit Theory. Numerical Linear Algebra in Signals, Systems and
Control will contain articles, both the state-of-the-art surveys
and technical papers, on theory, computations, and applications
addressing significant new developments in these areas. The goal of
the volume is to provide authoritative and accessible accounts of
the fast-paced developments in computational mathematics,
scientific computing, and computational engineering methods,
applications, and algorithms. The state-of-the-art surveys will
benefit, in particular, beginning researchers, graduate students,
and those contemplating to start a new direction of research in
these areas. A more general goal is to foster effective
communications and exchange of information between various
scientific and engineering communities with mutual interests in
concepts, computations, and workable, reliable practices.
Numerical linear algebra, digital signal processing, and parallel
algorithms are three disciplines with a great deal of activity in
the last few years. The interaction between them has been growing
to a level that merits an Advanced Study Institute dedicated to the
three areas together. This volume gives an account of the main
results in this interdisciplinary field. The following topics
emerged as major themes of the meeting: - Singular value and
eigenvalue decompositions, including applications, - Toeplitz
matrices, including special algorithms and architectures, -
Recursive least squares in linear algebra, digital signal
processing and control, - Updating and downdating techniques in
linear algebra and signal processing, - Stability and sensitivity
analysis of special recursive least squares problems, - Special
architectures for linear algebra and signal processing. This book
contains tutorials on these topics given by leading scientists in
each of the three areas. A consider- able number of new research
results are presented in contributed papers. The tutorials and
papers will be of value to anyone interested in the three
disciplines.
During the past decade the interaction between control theory and
linear algebra has been ever increasing, giving rise to new results
in both areas. As a natural outflow of this research, this book
presents information on this interdisciplinary area. The
cross-fertilization between control and linear algebra can be found
in subfields such as Numerical Linear Algebra, Canonical Forms,
Ring-theoretic Methods, Matrix Theory, and Robust Control. This
book's editors were challenged to present the latest results in
these areas and to find points of common interest. This volume
reflects very nicely the interaction: the range of topics seems
very wide indeed, but the basic problems and techniques are always
closely connected. And the common denominator in all of this is, of
course, linear algebra.
This book is suitable for both mathematicians and students.
The purpose of Numerical Linear Algebra in Signals, Systems and
Control is to present an interdisciplinary book, blending linear
and numerical linear algebra with three major areas of electrical
engineering: Signal and Image Processing, and Control Systems and
Circuit Theory. Numerical Linear Algebra in Signals, Systems and
Control will contain articles, both the state-of-the-art surveys
and technical papers, on theory, computations, and applications
addressing significant new developments in these areas. The goal of
the volume is to provide authoritative and accessible accounts of
the fast-paced developments in computational mathematics,
scientific computing, and computational engineering methods,
applications, and algorithms. The state-of-the-art surveys will
benefit, in particular, beginning researchers, graduate students,
and those contemplating to start a new direction of research in
these areas. A more general goal is to foster effective
communications and exchange of information between various
scientific and engineering communities with mutual interests in
concepts, computations, and workable, reliable practices.
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