عنوان

Jordan canonical form :

(Number (ISBN

1598298054

(Number (ISBN

9781598298055

Erroneous ISBN

1598298046

Erroneous ISBN

9781598298048

Number

b744032

Title Proper

Jordan canonical form :

General Material Designation

[Book]

Other Title Information

application to differential equations /

First Statement of Responsibility

Steven H. Weintraub.

Place of Publication, Distribution, etc.

[San Rafael, CA] :

Name of Publisher, Distributor, etc.

Morgan & Claypool Publishers,

Date of Publication, Distribution, etc.

©2008.

Specific Material Designation and Extent of Item

1 online resource (viii, 85 pages)

Series Title

Synthesis lectures on mathematics and statistics ;

Volume Designation

#2

Text of Note

Includes index.

Text of Note

Title from PDF title page (viewed Nov. 6, 2008).

Text of Note

Jordan canonical form -- The diagonalizable case -- The general case -- Solving systems of linear differential equations -- Homogeneous systems with constant coefficients -- Homogeneous systems with constant coefficients -- Inhomogeneous systems with constant coefficients -- The matrix exponential -- Background results -- A.1. Bases, coordinates, and matrices -- A.2. Properties of the complex exponential -- B. Answers to odd-numbered exercises.

0

Text of Note

Jordan Canonical Form (JCF) is one of the most important, and useful, concepts in linear algebra. In this book we develop JCF and show how to apply it to solving systems of differential equations. We first develop JCF, including the concepts involved in it-eigenvalues, eigenvectors, and chains of generalized eigenvectors. We begin with the diagonalizable case and then proceed to the general case, but we do not present a complete proof. Indeed, our interest here is not in JCF per se, but in one of its important applications. We devote the bulk of our attention in this book to showing how to apply JCF to solve systems of constant-coefficient first order differential equations, where it is a very effective tool. We cover all situations-homogeneous and inhomogeneous systems; real and complex eigenvalues. We also treat the closely related topic of the matrix exponential. Our discussion is mostly confined to the 2-by-2 and 3-by-3 cases, and we present a wealth of examples that illustrate all the possibilities in these cases (and of course, a wealth of exercises for the reader).

Source for Acquisition/Subscription Address

01307586

Title

Jordan canonical form.

International Standard Book Number

9781598298048

Algebras, Linear.

Jordan algebras.

Algebras, Linear.

Jordan algebras.

MATHEMATICS-- Differential Equations-- General.

MAT-- 007000

Number

Edition

Class number

Book number

Weintraub, Steven H.

Date of Transaction

20201204043000.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y