You are here: Symbol Reference > Dew Namespace > Dew.Math Namespace > Classes > Matrix Structure > Matrix Methods > Matrix.Kac Method
Dew Math for .NET
ContentsIndexHome
PreviousUpNext
Matrix.Kac Method
Matrix Structure  Matrix Members  Dew.Math Namespace  Matrix Methods
Collapse All

Construct the Kac (Clement) matrix.

Syntax
C#
Visual Basic
public TMtx Kac(int n);
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.

Group
Links
Copyright (c) 1999-2024 by Dew Research. All rights reserved.
Contents | Index | Home
What do you think about this topic? Send feedback!