Lucid and concise, this volume covers all the key aspects of matrix analysis and presents a variety of fundamental methods.
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 ...
The book includes norms on matrices as a means to deal with iterative solutions of linear systems and exponential of a matrix. The topics in the book are dealt with in a lively manner.
Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book.
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 ...
[] 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, ...
HOSMER and LEMESHOW · Applied Logistic Regression, Second Edition HOSMER, LEMESHOW, and MAY· Applied Survival ... Data: An Introduction to Cluster Analysis KEDEM and FOKIANOS · Regression Models for Time Series Analysis KENDALL, BARDEN, ...
Mathematically rigorous introduction covers vector and matrix norms, the condition-number of a matrix, positive and irreducible matrices, much more.
The book concludes with accessible treatments of advanced topics, such as linear iterative systems, convergence of matrices, more general vector spaces, linear transformations, and Hilbert spaces.
The book is also an accessible go-to reference for readers seeking clarification of the fine points of kinematics, circuit theory, control theory, computational statistics, and numerical algorithms.
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.