Overload List
| # | Signature | Description |
|---|---|---|
| 1 | TMtx *EigSymRange(TVec *D, TMtx *V, int LowRange, int HighRange, double Tolerance = 0); | Computes eigenvalues and eigenvectors of a symmetric (Hermitian) matrix between min and max index. |
| 2 | TMtx *EigSymRange(TVec *D, const int LowRange, const int HighRange, const double Tolerance = 0); | Computes eigenvalues of a symmetric (Hermitian) matrix between min and max index. |
Overload 1: TMtx *EigSymRange(TVec *D, TMtx *V, int LowRange, int HighRange, double Tolerance = 0);
Computes eigenvalues and eigenvectors of a symmetric (Hermitian) matrix between min and max index.
The computation is based on Relatively Robust Representations.
Tolerance parameter specifies the absolute error tolerance for the eigenvalues. An approximate eigenvalue is accepted as converged when it is determined to lie in an interval [a,b] of width less than or equal to
Tolerance + EPS / max( |a|,|b| ) ,
where EPS is the machine precision. If Tolerance is less than or equal to zero, then EPS*|T| will be used in its place, where |T| is the 1-norm of the tridiagonal matrix obtained by reducing A to tridiagonal form.
Eigenvalues will be computed most accurately when Tolerance is set to twice the underflow threshold, not zero. If this routine returns fails , indicating that some eigenvectors did not converge, try setting Tolerance to UnderflowThreshold.
The first eigenvalue index is 1 and the last index is equal to row/column count. LowerRange and UpperRange need to be specified within this interval: 1 <= LowerRange <= UpperRange <= Rows
Overload 2: TMtx *EigSymRange(TVec *D, const int LowRange, const int HighRange, const double Tolerance = 0);
Computes eigenvalues of a symmetric (Hermitian) matrix between min and max index.
| # | Name | Type | Description |
|---|---|---|---|
| 1 | D | TVec * | |
| 2 | LowRange | const int | |
| 3 | HighRange | const int | |
| 4 | Tolerance = 0 | const double |
The computation is based on Relatively Robust Representations.
Tolerance parameter specifies the absolute error tolerance for the eigenvalues. An approximate eigenvalue is accepted as converged when it is determined to lie in an interval [a,b] of width less than or equal to
Tolerance + EPS / max( |a|,|b| ) ,
where EPS is the machine precision. If Tolerance is less than or equal to zero, then EPS*|T| will be used in its place, where |T| is the 1-norm of the tridiagonal matrix obtained by reducing A to tridiagonal form.
Eigenvalues will be computed most accurately when Tolerance is set to twice the underflow threshold, not zero. If this routine returns fails , indicating that some eigenvectors did not converge, try setting Tolerance to UnderflowThreshold.
The first eigenvalue index is 1 and the last index is equal to row/column count. LowerRange and UpperRange need to be specified within this interval: 1 <= LowerRange <= UpperRange <= Rows