functionhohoTrafoLowerHess
Compute the similarity transformation S*A*S of matrix A with householder matrix S = I - 2u*u' to compute a lower Hessenberg form
Information
This function calculates one step in the calculation of lower Hessenberg form. Therein it calculates the (n-r+1)'th column of the Hessenberg matrix which is of shape {fill(1,n-r-1),x,x}.Inputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real[:,size(A, 1)] | A | ||
| Real[size(A, 1)] | u | householder vector | |
| Integer | r |
Outputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real[size(A, 1),size(A, 1)] | SAS |