The Theory of Matrices
With Applications
- 2nd Edition - December 13, 2014
- Latest edition
- Authors: Peter Lancaster, Miron Tismenetsky
- Language: English
In this book the authors try to bridge the gap between the treatments of matrix theory and linear algebra. It is aimed at graduate and advanced undergraduate students seeking a… Read more
In this book the authors try to bridge the gap between the treatments of matrix theory and linear algebra. It is aimed at graduate and advanced undergraduate students seeking a foundation in mathematics, computer science, or engineering. It will also be useful as a reference book for those working on matrices and linear algebra for use in their scientific work.
Undergraduate, and graduate students in a variety of possible programs where this subject matter is required.
Maxtrix Algebra. Determinants, Inverse Matrices, and Rank. Linear, Euclidean, and Unitary Spaces. Linear Transformations and Matrices. Linear Transformations in Unitary Spaces and Simple Matrices. The Jordan Canonical Form: A Geometric Approach. Matrix Polynomials and Normal Forms. The Variational Method. Functions of Matrices. Norms and Bounds for Eigenvalues. Perturbation Theory. Linear Matrix Equations and Generalized Inverses. Stability Problems. Matrix Polynomials. Nonnegative Matrices. Appendix 1. A Survey of Scalar Polynomials. Appendix 2. Some Theorems and Notions from Analysis. Appendix 3. Suggestions for Further Reading. Index.
- Edition: 2
- Latest edition
- Published: December 13, 2014
- Language: English
PL
Peter Lancaster
Affiliations and expertise
Dept. of Mathematics and Statistics, University of CalgaryMT
Miron Tismenetsky
Affiliations and expertise
IBM Scientific Center, Technion City, Haifa, Israel