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**PREFACE : **

Linear algebra and matrix theory are fundamental tools in mathematical
and physical science, as well as fertile fields for research. This new
edition of the acclaimed text presents results of both classic and
recent matrix analysis using canonical forms as a unifying theme, and
demonstrates their importance in a variety of applications. The authors

have thoroughly revised, updated, and expanded on the first edition. The
book opens with an extended summary of useful concepts and facts and
includes numerous new topics and features, such as: - New sections on
the singular value and CS decompositions - New applications of the
Jordan canonical form - A new section on the Weyr canonical form -
Expanded treatments of inverse problems and of block matrices - A
central role for the Von Neumann trace theorem - A new appendix with a
modern list of canonical forms for a pair of Hermitian matrices and for a
symmetric-skew symmetric pair - Expanded index with more than 3,500

entries for easy reference - More than 1,100 problems and exercises,
many with hints, to reinforce understanding and develop auxiliary themes
such as finite-dimensional quantum systems, the compound and adjugate
matrices, and the Loewner ellipsoid - A new appendix provides a
collection of problem-solving hints.

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**Title :** Matrix Analysis

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**author(s) : **Roger A. Horn, Charles R. Johnson

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**size : **3.7 Mb

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**file type :** PDF

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