Topic: LU Factorization and Numerical Considerations

Deriving Error Bounds From Condition Numbers

Deriving PA = LU With Row Exchanges

Counting Operations in Gaussian Elimination

Convergence Tests for Jacobi and Gauss-Seidel

Condition Numbers of Linear Systems

Computing LU Factors From an Elimination Table

Choosing Between LU, Jacobi, and Gauss-Seidel

Cancellation and Loss of Significant Digits

Bounding the Size of a Matrix-Vector Product

Block LU and Reusing Factorizations