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Nonnegative Matrices in the Mathematical Sciences (Paperback, New Ed)
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Nonnegative Matrices in the Mathematical Sciences (Paperback, New Ed)
Series: Classics in Applied Mathematics, v. 9
Expected to ship within 12 - 17 working days
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Here is a valuable text and research tool for scientists and
engineers who use or work with theory and computation associated
with practical problems relating to Markov chains and queuing
networks, economic analysis, or mathematical programming.
Originally published in 1979, this new edition adds material that
updates the subject relative to developments from 1979 to 1993.
Theory and applications of nonnegative matrices are blended here,
and extensive references are included in each area. You will be led
from the theory of positive operators via the Perron-Frobenius
theory of nonnegative matrices and the theory of inverse
positivity, to the widely used topic of M-matrices. On the way,
semigroups of nonnegative matrices and symmetric nonnegative
matrices are discussed. Later, applications of nonnegativity and
M-matrices are given; for numerical analysis the example is
convergence theory of iterative methods, for probability and
statistics the examples are finite Markov chains and queuing
network models, for mathematical economics the example is
input-output models, and for mathematical programming the example
is the linear complementarity problem. Nonnegativity constraints
arise very naturally throughout the physical world. Engineers,
applied mathematicians, and scientists who encounter nonnegativity
or generalizations of nonnegativity in their work will benefit from
topics covered here, connecting them to relevant theory.
Researchers in one area, such as queuing theory, may find useful
the techniques involving nonnegative matrices used by researchers
in another area, say, mathematical programming. Exercises and
biographical notes are included with each chapter.
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