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The Theory of Matrices - 2nd Edition - ISBN: 9780124355606, 9780080519081

The Theory of Matrices

2nd Edition

With Applications

Authors: Peter Lancaster Miron Tismenetsky
Hardcover ISBN: 9780124355606
eBook ISBN: 9780080519081
Imprint: Academic Press
Published Date: 24th May 1985
Page Count: 570
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Table of Contents

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.


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.


No. of pages:
© Academic Press 1985
24th May 1985
Academic Press
Hardcover ISBN:
eBook ISBN:

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About the Authors

Peter Lancaster

Affiliations and Expertise

Dept. of Mathematics and Statistics, University of Calgary

Miron Tismenetsky

Affiliations and Expertise

IBM Scientific Center, Technion City, Haifa, Israel