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Matrix Positivity (Hardcover)
Charles R. Johnson, Ronald L. Smith, Michael J. Tsatsomeros
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R3,445
Discovery Miles 34 450
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Ships in 12 - 17 working days
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Matrix positivity is a central topic in matrix theory: properties
that generalize the notion of positivity to matrices arose from a
large variety of applications, and many have also taken on notable
theoretical significance, either because they are natural or
unifying. This is the first book to provide a comprehensive and
up-to-date reference of important material on matrix positivity
classes, their properties, and their relations. The matrix classes
emphasized in this book include the classes of semipositive
matrices, P-matrices, inverse M-matrices, and copositive matrices.
This self-contained reference will be useful to a large variety of
mathematicians, engineers, and social scientists, as well as
graduate students. The generalizations of positivity and the
connections observed provide a unique perspective, along with
theoretical insight into applications and future challenges. Direct
applications can be found in data analysis, differential equations,
mathematical programming, computational complexity, models of the
economy, population biology, dynamical systems and control theory.
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