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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.
Charles Johnson is the National Book Awardwinning author of Middle Passage and a novelist, essayist, literary scholar, philosopher, cartoonist, screenwriter, and professor emeritus at the University of Washington. A MacArthur fellow, his acclaimed work explores race, identity, culture, and philosophical questions, and his books include Night Hawks, Dr. Kings Refrigerator, Dreamer, Faith and the Good Thing, and Middle Passage. In 2002, he received the Arts and Letters Award in Literature from the American Academy of Arts and Letters. He lives in Seattle.
Ronald L. Smith is the Coretta Scott King/John Steptoe New Talent Award–winning author of several novels for young readers, including Hoodoo, The Owls Have Come to Take Us Away, Gloom Town, Project Mercury, and the Black Panther: The Young Prince series. He lives in Baltimore, Maryland. To learn more, visit strangeblackflowers.com.
Michael Tsatsomeros is a professor in the Department of Mathematics and Statistics at Washington State University. He holds a Ph.D. in mathematics from the University of Connecticut, a M.Sc. in mathematics from Concordia University in Montreal and a B.Sc. in mathematics from the University of Patras.
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