Read Jordan Canonical Form: Application to Differential Equations

Jordan Canonical Form: Application to Differential Equations

Steven H. Weintraub

4.9/5 (21228 ratings)

Description: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 iteigenvalues, 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 situationshomogeneous 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, exercises for the reader). Table of Contents: Jordan Canonical Form / Solving Systems of Linear Differential Equations / Background Results: Bases, Coordinates, and Matrices / Properties of the Complex ExponentialWe have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Jordan Canonical Form: Application to Differential Equations. To get started finding Jordan Canonical Form: Application to Differential Equations, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Pages: —

Format: PDF, EPUB & Kindle Edition

Publisher: —

Release: —

ISBN: 1598298054

Description: 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 iteigenvalues, 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 situationshomogeneous 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, exercises for the reader). Table of Contents: Jordan Canonical Form / Solving Systems of Linear Differential Equations / Background Results: Bases, Coordinates, and Matrices / Properties of the Complex ExponentialWe have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Jordan Canonical Form: Application to Differential Equations. To get started finding Jordan Canonical Form: Application to Differential Equations, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Special Offer | $0.00

Special Offer! | $0.00

Jordan Canonical Form: Application to Differential Equations

Jordan Canonical Form: Application to Differential Equations

More Books

Jordan Canonical Form

Jordan Canonical Form

Jordan Canonical Form and Dynamic Systems on Time Scales

Jordan Canonical Form and Dynamic Systems on Time Scales

Linear Algebra

Linear Algebra

Matrix Analysis

Matrix Analysis

A Second Course in Linear Algebra

A Second Course in Linear Algebra

The Numerical Jordan Form

The Numerical Jordan Form

Applied Linear Algebra

Applied Linear Algebra

Advanced Linear Algebra

Advanced Linear Algebra

3,000 Solved Problems in Linear Algebra

3,000 Solved Problems in Linear Algebra