GVL4 M-Files: Chapter 7
Demos
| ShowBartelsStewart | the Bartels-Stewart algorithm |
| ShowBlockDiag | block diagonalization of a block upper tri matrix |
| ShowEigCond | eigenvalue condion of Frank matrix |
| ShowEigDecomp | illustrates two eigenvalue decompositions |
| ShowEigTool | screenshots that illustrate what EigTool does |
| ShowFrancisQR | double implicit shift QR algorithm for Ax = lambda*x |
| ShowFrancisQZ | double implicit shift QZ algorithm for Ax = lambda*Bx |
| ShowHouseHess | Householder reduction to Hessenberg form |
| ShowHouseHessTri | Householder reduction to Hessenberg-triangular form |
| ShowInverseIt | inverse iteration for eigenvectors |
| ShowInvSubCond | sensitivity of an invariant subspace |
| ShowOrthogIt | Orthogonal iteration |
| ShowPowerMethod | Power method |
| ShowSchurOrdering | Ordering eigenvalues in SChur form |
| ShowSkewHam | Reduction of Skew-Hamiltonian to block upper tri |
| ShowUnshiftedQR | Unshifted QR iteration |
Functions
| Bartels-Stewart | the Bartels -Stewart algorithm |
| FrancisQRStep | a double implicit shift QR step |
| FrancisQZStep | a double implicit shift QZ step |
| HouseHess | reductionto Hessenberg form via Householder |
| InverseIt | inverse iteration |
| OrthogIt | orthogonal iterations |
| PowerMethod | power method |
| Sep | the separation of two matrices |