Full HTML for

Scripted foilset CPS615 Linear Algebra Presentation

Given by Geoffrey C. Fox at CPS615 Fall Semester 95 Simulation Track on 18 November 95. Foils prepared 8 Nov 1995
Outside Index Summary of Material

This is designed to augment the Fosdick and Jessup online resource called
A Review of Selected Topics from Numerical Analysis
situated at: http://www.cs.colorado.edu/95-96/courses/materials.hpsc.html
We focus on additional discussion of eigenvectors and eigenvalues which are used in CPS615 in discussing convergence of iterative PDE solvers
Also have small discussion of "functional analysis" with differential operators

Table of Contents for full HTML of CPS615 Linear Algebra Presentation

 Denote Foils where HTML is sufficient
Denote Foils where Image is not available
1 CPS615 -- Base Course for the Simulation Track of Computational Science
Fall Semester 1995 --
Numerical Analysis for Linear Algebra
2 Abstract of CPS615 Numerical Analysis Presentation
3 1:Definition of a Matrix
4 2:The Definition of a Vector
5 3:The Definition of Scalar Products and Orthonormality
6 4:Types of Matrices
7 5:Eigenvectors and Eigenvalues
8 6:Structure of Matrix
9 7:Equations for Eigenvalues---I
10 8:Equations for Eigenvalues---II
11 9:Polynomial Equations for Eigenvalues
12 10:General Properties of Eigenvalues
13 11:Eigenvalues of Hermitean Matrices---I
14 12:Eigenvalues of Hermitean Matrices---II
15 13:Orthogonality of Eigenvectors of Hermitean Matrices
16 14:Orthonormal Eigenvectors and Unitary Transformation Matrices
17 15:Diagonal Form of General Hermitean Matrix---I
18 16:Diagonal Form of General Hermitean Matrix---II
19 17:Eigenvectors and Eigenvalues of Symmetric Matrices
20 1:Finite and Infinite Dimensional Matrices as Operators
21 2:d/dx as an Operator and Its Scalar Products
22 3:d/dx as a Hermitean Operator
23 4:The Laplacian as a (Matrix) Operator
24 5:Mapping of Function Spaces to a Finite Number of Dimensions

Outside Index Summary of Material

HTML version of Scripted Foils prepared 8 Nov 1995

Foil 1 CPS615 -- Base Course for the Simulation Track of Computational Science
Fall Semester 1995 --
Numerical Analysis for Linear Algebra

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
Geoffrey Fox
NPAC
Room 3-131 CST
111 College Place
Syracuse NY 13244-4100
HTML version of Scripted Foils prepared 8 Nov 1995

Foil 2 Abstract of CPS615 Numerical Analysis Presentation

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
This is designed to augment the Fosdick and Jessup online resource called
A Review of Selected Topics from Numerical Analysis
situated at: http://www.cs.colorado.edu/95-96/courses/materials.hpsc.html
We focus on additional discussion of eigenvectors and eigenvalues which are used in CPS615 in discussing convergence of iterative PDE solvers
Also have small discussion of "functional analysis" with differential operators
HTML version of Scripted Foils prepared 8 Nov 1995

Foil 3 1:Definition of a Matrix

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
See Original Foil
HTML version of Scripted Foils prepared 8 Nov 1995

Foil 4 2:The Definition of a Vector

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
See Original Foil
HTML version of Scripted Foils prepared 8 Nov 1995

Foil 5 3:The Definition of Scalar Products and Orthonormality

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
See Original Foil
HTML version of Scripted Foils prepared 8 Nov 1995

Foil 6 4:Types of Matrices

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
See Original Foil
HTML version of Scripted Foils prepared 8 Nov 1995

Foil 7 5:Eigenvectors and Eigenvalues

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
See Original Foil
HTML version of Scripted Foils prepared 8 Nov 1995

Foil 8 6:Structure of Matrix

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
See Original Foil
HTML version of Scripted Foils prepared 8 Nov 1995

Foil 9 7:Equations for Eigenvalues---I

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
See Original Foil
HTML version of Scripted Foils prepared 8 Nov 1995

Foil 10 8:Equations for Eigenvalues---II

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
See Original Foil
HTML version of Scripted Foils prepared 8 Nov 1995

Foil 11 9:Polynomial Equations for Eigenvalues

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
See Original Foil
HTML version of Scripted Foils prepared 8 Nov 1995

Foil 12 10:General Properties of Eigenvalues

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
See Original Foil
HTML version of Scripted Foils prepared 8 Nov 1995

Foil 13 11:Eigenvalues of Hermitean Matrices---I

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
See Original Foil
HTML version of Scripted Foils prepared 8 Nov 1995

Foil 14 12:Eigenvalues of Hermitean Matrices---II

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
See Original Foil
HTML version of Scripted Foils prepared 8 Nov 1995

Foil 15 13:Orthogonality of Eigenvectors of Hermitean Matrices

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
See Original Foil
HTML version of Scripted Foils prepared 8 Nov 1995

Foil 16 14:Orthonormal Eigenvectors and Unitary Transformation Matrices

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
See Original Foil
HTML version of Scripted Foils prepared 8 Nov 1995

Foil 17 15:Diagonal Form of General Hermitean Matrix---I

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
See Original Foil
HTML version of Scripted Foils prepared 8 Nov 1995

Foil 18 16:Diagonal Form of General Hermitean Matrix---II

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
See Original Foil
HTML version of Scripted Foils prepared 8 Nov 1995

Foil 19 17:Eigenvectors and Eigenvalues of Symmetric Matrices

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
See Original Foil
HTML version of Scripted Foils prepared 8 Nov 1995

Foil 20 1:Finite and Infinite Dimensional Matrices as Operators

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
See Original Foil
HTML version of Scripted Foils prepared 8 Nov 1995

Foil 21 2:d/dx as an Operator and Its Scalar Products

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
See Original Foil
HTML version of Scripted Foils prepared 8 Nov 1995

Foil 22 3:d/dx as a Hermitean Operator

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
See Original Foil
HTML version of Scripted Foils prepared 8 Nov 1995

Foil 23 4:The Laplacian as a (Matrix) Operator

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
See Original Foil
HTML version of Scripted Foils prepared 8 Nov 1995

Foil 24 5:Mapping of Function Spaces to a Finite Number of Dimensions

From CPS615 Linear Algebra Presentation CPS615 Fall Semester 95 Simulation Track -- 18 November 95. *
Full HTML Index
See Original Foil
© Northeast Parallel Architectures Center, Syracuse University, npac@npac.syr.edu

If you have any comments about this server, send e-mail to webmaster@npac.syr.edu.

Page produced by wwwfoil on Fri Aug 15 1997