TMtx::Kac Method

TMtx *Kac(int n);

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::TMtx · Dew.Math/MtxVec.h · Cross-compiler