Description

The `Forsythe' matrix is a Jordan Block (with parameter Lambda on the diagonal and 1 on the off-diagonal) and with a perturbation, An,1=alpha, for Order=n, and parameter alpha. The characteristic equation is
 
             DET(A-t*I) = (Lambda-t)^n - (-1)^n Alpha.

References

  1. This generator is adapted from Nicholas J. Higham's Test Matrix Toolbox.

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Page created 1997-03-03, last modified 2000-08-06. [ ]