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| 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 |
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CPS615 -- Base Course for the Simulation Track of Computational Science
Abstract of CPS615 Numerical Analysis Presentation 
1:Definition of a Matrix 2:The Definition of a Vector 3:The Definition of Scalar Products and Orthonormality 4:Types of Matrices 5:Eigenvectors and Eigenvalues 6:Structure of Matrix 7:Equations for Eigenvalues---I 8:Equations for Eigenvalues---II 9:Polynomial Equations for Eigenvalues 10:General Properties of Eigenvalues 11:Eigenvalues of Hermitean Matrices---I 12:Eigenvalues of Hermitean Matrices---II 13:Orthogonality of Eigenvectors of Hermitean Matrices 14:Orthonormal Eigenvectors and Unitary Transformation Matrices 15:Diagonal Form of General Hermitean Matrix---I 16:Diagonal Form of General Hermitean Matrix---II 17:Eigenvectors and Eigenvalues of Symmetric Matrices 1:Finite and Infinite Dimensional Matrices as Operators 2:d/dx as an Operator and Its Scalar Products 3:d/dx as a Hermitean Operator 4:The Laplacian as a (Matrix) Operator 5:Mapping of Function Spaces to a Finite Number of Dimensions Full WebWisdom URL and this Foilset Search
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