Building on the foundations of its predecessor volume, Matrix Analysis, this book treats in detail several topics in matrix theory not included in the previous volume, but with important applications and of special mathematical interest. As with the previous volume, the authors assume a background knowledge of elementary linear algebra and rudimentary analytical concepts. Many examples and exercises of varying difficulty are included.
Matrix Analysis presents the classical and recent results for matrix analysis that have proved to be important to applied mathematics.
[] If A, B e Mn are normal (either complex or real) and satisfy an intertwining relation, the Fuglede—Putnam theorem says that A* and Bo satisfy the same intertwining relation. The key to our proof of this result is the fact that, ...
... Joshua Batson, Florent Benaych-Georges, Sivaraman Balakrishnan, Alex Bloemendal, Kaihua Cai, Andres Caicedo, Emmanuel Candés, Jérôme Chauvet, Brian Davies, Ben Golub, Stephen Heilman, John Jiang, Li Jing, Rowan Killip, Sungjin Kim, ...
This book presents a substantial part of matrix analysis that is functional analytic in spirit.
"Prerequisites for using this text are knowledge of calculus and some previous exposure to matrices and linear algebra, including, for example, a basic knowledge of determinants, singularity of matrices, eigenvalues and eigenvectors, and ...
If a function is monotone for every matrix size, then it is called matrix monotone or operator monotone. ... The theory of operator/matrix monotone functions was initiated by Karel Löwner, which was soon followed by Fritz Kraus' theory ...
Topics in Matrix Analysis: 卷2
This balanced and comprehensive study presents the theory, methods and applications of matrix analysis in a new theoretical framework, allowing readers to understand secondorder and higher-order matrix analysis in a completely new light ...
Matrix theory is a classical topic of algebra that had originated, in its current form, in the middle of the 19th century.
This volume concisely presents fundamental ideas, results, and techniques in linear algebra and mainly matrix theory.