Applied and Computational Linear Algebra: A First Course
by Charles L. Byrne
Publisher: University of Massachusetts Lowell 2013
Number of pages: 504
This book is intended as a text for a graduate course that focuses on applications of linear algebra and on the algorithms used to solve the problems that arise in those applications. Often the particular nature of the applications will prompt us to seek algorithms with particular properties; we then turn to the matrix theory to understand the workings of the algorithms.
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by Sergei Winitzki - Ludwig-Maximilians University
An introduction to the coordinate-free approach in basic finite-dimensional linear algebra. The reader should be already exposed to the elementary vector and matrix calculations. The author makes extensive use of the exterior product of vectors.
by Peter J. Cameron - Queen Mary, University of London
On the theoretical side, we deal with vector spaces, linear maps, and bilinear forms. On the practical side, the subject is really about one thing: matrices. This module is a mixture of abstract theory and concrete calculations with matrices.
by William Thomson
Every important principle has been illustrated by copious examples, a considerable number of which have been fully worked out. As my main object has been to produce a textbook suitable for beginners, many important theorems have been omitted.
by Yousef Saad - SIAM
This book discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods for solving matrix eigenvalue problems that arise in various engineering applications.