Nonnegative matrices and positive operators are widely applied in science, engineering, and technology. This book provides the basic theory and several typical modern science and engineering applications of nonnegative matrices and positive operators, including the fundamental theory, methods, numerical analysis, and applications in the Google search engine, computational molecular dynamics, and wireless communications.Unique features of the book include the combination of the theories of nonnegative matrices and positive operators as well as the emphasis on applications of nonnegative matrices in the numerical analysis of positive operators, such as Markov operators and Frobenius–Perron operators which play key roles in the statistical and stochastic studies of dynamical systems.It can be used as a textbook for an upper undergraduate course in advanced matrix theory and/or positive operators as well as for an advanced topic course in operator theory or ergodic theory. It serves as a good reference for researchers in mathematical sciences, physical sciences, and engineering.

Recensione:

This highly-readable book seems to be the first that combines the two topics and studies their interactions via finite approximations in one book form, for readers with various backgrounds. This book is not only an ideal text for students in mathematical and physical sciences but also a useful self-contained reference for researchers who employ nonnegative matrices and/or positive operators in their work. --Tien-Yien Li, University Distinguished Professor, Michigan State University

This book can be used to support students in mathematical sciences in an upper undergraduate or beginning graduate level, following courses on nonnegative matrices or/and positive operators. Concrete parts of this book could be useful for students or researchers specialized in engineering subjects or physical sciences. --Mathematical Reviews

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