GVL4 M-Files: Chapter 5
Demos
| ShowHouseQR | QR factorization via Householder |
| ShowHouseQRpiv | QR factorization with column pivoting via Householder |
| ShowHessQR | QR factorization of upper Hessenberg matrix |
| ShowGivensQR | QR factorization via Givens rotations |
| ShowBlockQR | compares two block methods for QR |
| ShowOrthogReps | three ways to represent a product of Householders |
| ShowCGS | classical Gram-Schmidt |
| ShowMGS | modified Gram-Schmidt |
| ShowFullRankLS | several methods for full rank LS |
| ShowRankDefLS | several methods for rank-deficient LS |
| ShowHouseBidiag | Householder bidiagonalization |
| ShowUnder | underdetermined systems |
Functions
| House | build a Householder transformation |
| BackAccum | accumulate a product of Householders |
| Givens | build a Givens rotation |
| GivensQR | Givens QR factorization |
| HessQR | QR factorization of a Hessenberg matrix |
| HouseQR | Householder QR factorization |
| HouseQRpiv | Householder QR factorization with column pivoting |
| WY | WY representation of Householder products |
| BlockHouseQR | block Householder QR factorization |
| RecursiveBlockQR | recusive block QR factorization |
| CGS | classical Gram-Schmidt |
| MGS | modified Gram-Schmidt |
| HouseBidiag | Householder bidiagonalization |