## Table of contents for Introduction to the theory of canonical matrices / by H.W. Turnbull and A.C. Aitken.

Bibliographic record and links to related information available from the Library of Congress catalog

Information from electronic data provided by the publisher. May be incomplete or contain other coding.

I. Definitions and Fundamental Properties of Matrices

II. Elementary Transformations. Bilinear and Quadratic Forms

III. The Canonical Reduction of Equivalent Matrices

IV. Subgroups of the Group of Equivalent Transformations

V. A Rational Canonical Form for the Collineatory Group

VI. The Classical Canonical Form for the Collineatory Group

VII. Congruent and Conjunctive Transformations: Quadratic and Hermitian Forms

VIII. Canonical Reductions by Unitary and Orthogonal Transformations

IX. The Canonical Reduction of Pencils of Matrices

X. Applications of Canonical Forms to Solution of Linear Matrix Equations. Commutants and Invariants

XI. Practical Applications of Canonical Reduction

Appendix

Miscellaneous Examples

Index

Library of Congress subject headings for this publication:

Matrices.

Transformations (Mathematics)