Computational Physics Lectures: Eigenvalue problems
Contents
Overview of eigenvalue discussion
Eigenvalue problems, basic definitions
Eigenvalue problems, basic definitions
Eigenvalue problems, basic definitions
Abel-Ruffini Impossibility Theorem
Abel-Ruffini Impossibility Theorem
Eigenvalue problems, basic definitions
Eigenvalue problems, basic definitions
Eigenvalue problems, basic definitions
Eigenvalue problems, basic definitions
Discussion of Jacobi's method for eigenvalues
Discussion of Jacobi's method for eigenvalues
Discussion of Jacobi's method for eigenvalues
Discussion of Jacobi's method for eigenvalues
Discussion of Jacobi's method for eigenvalues
Discussion of Jacobi's method for eigenvalues
Discussion of Jacobi's method for eigenvalues
Discussion of Jacobi's method for eigenvalues
Discussion of Jacobi's method for eigenvalues
Discussion of Jacobi's method for eigenvalues
Discussion of Jacobi's method for eigenvalues
Discussion of Jacobi's method for eigenvalues
Discussion of Jacobi's method for eigenvalues
Discussion of Jacobi's method for eigenvalues
Discussion of Jacobi's method for eigenvalues
Discussion of Jacobi's method for eigenvalues
Discussion of Jacobi's method for eigenvalues
Discussion of Jacobi's method for eigenvalues
Discussion of Jacobi's method for eigenvalues
Discussion of project 2
Discussion of project 2
Discussion of project 2
Discussion of project 2
Discussion of project 2
Discussion of project 2
Discussion of project 2
Discussion of project 2
Discussion of project 2
Discussion of project 2
Discussion of project 2
Discussion of project 2
Discussion of project 2
Discussion of project 2
Discussion of project 2
Discussion of project 2
Discussion of project 2, simple program for one particle in a harmonic oscillator trap
Unit Testing
Unit Testing, benefits
Simple example of unit test
Simple example of unit test
"Unit tests":"https://github.com/philsquared/Catch/blob/master/docs/tutorial.md"
Examples
Factorial Example
What did we do (1)?
What did we do (2)?
Unit test summary and testing approach
Discussion of Householder's method for eigenvalues
Discussion of Householder's method for eigenvalues
Discussion of Householder's method for eigenvalues
Discussion of Householder's method for eigenvalues
Discussion of Householder's method for eigenvalues
Discussion of Householder's method for eigenvalues
Discussion of Householder's method for eigenvalues
Discussion of Householder's method for eigenvalues
Discussion of Householder's method for eigenvalues
Discussion of Householder's method for eigenvalues
Discussion of Householder's method for eigenvalues
Discussion of Householder's method for eigenvalues
Eigenvalues with the
QR
and Lanczos methods
Eigenvalues with the
QR
and Lanczos methods
Eigenvalues with the
QR
and Lanczos methods
Eigenvalues with the
QR
algorithm and Lanczos' method
Eigenvalues with the
QR
algorithm and Lanczos' method
Eigenvalues with the
QR
algorithm and Lanczos' method
Eigenvalues with the
QR
algorithm and Lanczos' method
Eigenvalues with the
QR
algorithm and Lanczos' method
Eigenvalues with the
QR
algorithm and Lanczos' method
Eigenvalues with the
QR
algorithm and Lanczos' method
Eigenvalues with the
QR
algorithm and Lanczos' method
Eigenvalues and Lanczos' method
Eigenvalues and Lanczos' method, tridiagonal matrix
Eigenvalues and Lanczos' method, tridiagonal and orthogonal matrices
Eigenvalues and Lanczos' method
Eigenvalues and Lanczos' method, defining the Lanczos' vectors
Eigenvalues and Lanczos' method, basic steps
Overview of eigenvalue discussion
Discussion of Jacobi's algorithm, chapters 7.1-7.4
Presentation of project 2.
Discussion of Householder's and Francis' algorithms, chapter 7.5
Power methods, chapter 7.6
Lanczos' method, chapter 7.7
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