Ebook: Matrix methods. Applied linear algebra

This book presents a substantial part of matrix analysis that is functional analytic in spirit. Topics covered include the theory of majorization, variational principles for eigenvalues, operator monotone and convex functions, and perturbation of matrix functions and matrix inequalities. The book offers several powerful methods and techniques of wide applicability, and it discusses connections with other areas of mathematics "Matrix Methods: Applied Linear Algebra, 3e, as a textbook, provides a unique and comprehensive balance between the theory and computation of matrices. The application of matrices is not just for mathematicians. The use by other disciplines has grown dramatically over the years in response to the rapid changes in technology. Matrix methods is the essence of linear algebra and is what is used to help physical scientists; chemists, physicists, engineers, statisticians, and economists solve real world problems."--BOOK JACKET.  Read more... Matrices -- Simultaneous linear equations -- The inverse -- An introduction to optimization -- Determinants -- Eigenvalues and eigenvectors -- Matrix calculus -- Linear differential equations -- Probability and Markov chains -- Real inner products and least-square -- Appendix : A word on technology