2016

1. Examples of linear systems
2. Matlab codes of matrix generators
3. Conjugate Gradient Method

    Linear Systems

1. Introduction
• Sherman-Morrison
2. Gaussian Elimination for Linear Systems
• main program          rhs of Laplacian
3. Iterative Methods for Solving Large Linear Systems
4. Conjugate Gradient Method
5. CG-Method as an Iterative Method, Preconditioning
6. GCG-type Methods for Nonsymmetric Linear Systems
7. GMRES: Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems

　Eigenvalue Problems

1. Power and inverse power methods (s2011)  
• Hands-On Labs  and  open course
2. Lanczos method (s2011) 
• Hands-On Labs  and  Open course
3. Arnoldi method (s2011) 
• Open course
4. Jacobi-Davidson method (s2011) 
• Hands-On Labs  and  Open course

2D Laplacian Eq. 3D pyramid qdot simple cubic Maxwell     Introduction   Sherman-Morrison Gaussian Elimination for Linear Systems   main program rhs of Laplacian   Iterative Methods for Solving Large Linear Systems Conjugate Gradient Method CG-Method as an Iterative Method, Preconditioning GCG-type Methods for Nonsymmetric Linear Systems GMRES: Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems The QR Algorithm The Symmetric Eigenvalue Problem Eigenspaces and their Approximation Krylov Sequence Methods