TMtx.Kac Method

Summary

Construct the Kac (Clement) matrix.

Class
TMtx

Declaration

Function Kac(n: Integer): TMtx;

Description

Constructs the so called Kac (Clement) (n+1)x(n+1) tridiagonal matrix, defined by:

      | 0, n, 0, ...    ,  0 |
      | 1, 0, n-1, 0, ..., 0 |
      | 0, 2, 0, n-2, 0, ... |
      | ...........n-1, 0, 1 |
      | 0, ... ........, n, 0|

The eigenvalues of so defined matrix are 2k-n for k=0,1,2,...,n.