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 |