000			02047nam a22002657a 4500
003			OSt
005			20250304151325.0
008			250304b |||||||| |||| 00| 0 hin d
020			_a9781108478717
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a512.643 _bJOH-M
100			_aJohnson, Charles R.
245			_aMatrix positivity
260			_aCambridge : _bCambridge University Press, _c2020.
300			_axiv, 208 pages : _billustrations ; _c24 cm.
490			_aCambridge tracts in mathematics ; _v221
504			_aIncludes bibliographical references and index.
520			_aMatrix 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.
650			_aMatrices
700			_aSmith, Ronald L.
700			_aTsatsomeros, Michael J.
856			_3Table of content _uhttps://assets.cambridge.org/97811084/78717/toc/9781108478717_toc.pdf
856			_3Reviews _uhttps://www.goodreads.com/book/show/52628820-matrix-positivity?ref=nav_sb_ss_1_13#CommunityReviews
942			_2udc _cBK
999			_c35837 _d35837