Matrix::Kac Method

TMtx *Kac(int n) const;

Construct the Kac (Clement) matrix.

#NameTypeDescription
1nint
Remarks:

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.

Declared in Dew::Math::Matrix · Dew.Math/MtxExpr.h · Cross-compiler