Week 5: Theory of iterative methods

Performance and workflow with Julia

• I am now trying to provide information about julia (performance issues, project worfkflow) here. This is meant as a additional information for those of you interested in these questions.

Eigenvalue estimates based on matrix entries

• How to estimate eigenvalues from matrix entries

• Matrices and graphs

• Application to Jacobi iteration

• Pluto notebook: pluto/julia, html, pdf

Some new matrix properties and consequences

• Diagonally dominant matrices

• M-Matrices

• Pluto notebook: pluto/julia, html, pdf

Regular splittings

• Comparison between iterative methods

• Pluto notebook: pluto/julia, html, pdf