Jacobi Class
Provides Jacobi eigenvalue algorithm for 3x3 square matrices.
public static class Jacobi- Inheritance
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Jacobi
Methods
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Eigenvalues |
Gets the eigenvalues and eigenvectors of the specified symmetric matrix by the Jacobi eigenvalue algorithm. |
Methods Detail
EigenvaluesAndVectors(float, float, float, float, float, float, float)
Gets the eigenvalues and eigenvectors of the specified symmetric matrix by the Jacobi eigenvalue algorithm.
public static (Matrix33 D, Matrix33 V) EigenvaluesAndVectors(float threshold, float a11, float a12, float a13, float a22, float a23, float a33)Parameters
- threshold
- float
All absolute values of off-diagonal entries in D are less than this threshold.
- a11
- float
The component (1, 1) of the symmetric matrix.
- a12
- float
The component (1, 2) of the symmetric matrix.
- a13
- float
The component (1, 3) of the symmetric matrix.
- a22
- float
The component (2, 2) of the symmetric matrix.
- a23
- float
The component (2, 3) of the symmetric matrix.
- a33
- float
The component (3, 3) of the symmetric matrix.
Returns
The tuple containing a diagonal matrix D and an orthogonal matrix V. The diagonal entries in D and the column vectors in V represent the eigenvalues and eigenvectors of the specified symmetric matrix, respectively.