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Matrix.Kac Method
Matrix Record | Matrix Members | MtxExpr Namespace | public
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Construct the Kac (Clement) matrix.

Pascal
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.

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