Laub A.J. Matrix Analysis for Scientists & Engineers

SIAM, 2005. — 172 p. — ISBN: 0-89871-576-8. OCR.This book is intended to be used as a text for beginning graduate-level (or even senior-level) students in engineering, the sciences, mathematics, computer science, or computational science who wish to be familar with enough matrix analysis that they are prepared to use its tools and ideas comfortably in a variety of applications. By matrix analysis I mean linear algebra and matrix theory together with their intrinsic interaction with and application to
linear dynamical systems (systems of linear differential or difference equations). The text can be used in a one-quarter or one-semester course to provide a compact overview of much of the important and useful mathematics that, in many cases, students meant to learn thoroughly as undergraduates, but somehow didn't quite manage to do. Certain topics that may have been treated cursorily in undergraduate courses are treated in more depth and more advanced material is introduced. I have tried throughout to emphasize only the more important and "useful" tools, methods, and mathematical structures. Instructors are encouraged to supplement the book with specific application examples from their own particular subject area.Vector Spaces
Linear Transformations
Introduction to the Moore-Penrose Pseudoinverse
Introduction to the Singular Value Decomposition
Linear Equations
Projections, Inner Product Spaces, and Norms
Linear Least Squares Problems
Eigenvalues and Eigenvectors
Canonical Forms
Linear Differential and Difference Equations
Generalized Eigenvalue Problems
Kronecker Products