A module for computing estimates of the bounds of the spectrum of a matrix.
Compute a bounds on the minimum and maximum eigenvalue of a matrix. Uses the Gershgorin theorem.
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| type(Matrix_ps), | intent(in) | :: | this | The matrix to compute the min/max of. |
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| real(kind=NTREAL), | intent(out) | :: | min_value | A lower bound on the eigenspectrum. |
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| real(kind=NTREAL), | intent(out) | :: | max_value | An uppder bound on the eigenspectrum. |
Compute a bounds on the maximum eigenvalue of a matrix. Uses The Power Method.
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| type(Matrix_ps), | intent(in) | :: | this | The matrix to compute the min/max of. |
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| real(kind=NTREAL), | intent(out) | :: | max_value | An upper bound on the eigenspectrum. |
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| type(SolverParameters_t), | intent(in), | optional | :: | solver_parameters_in | The parameters for this calculation. |