freealg.FreeForm.slogdet#
- FreeForm.slogdet(size=None, seed=None, **kwargs)#
Estimate the sign and logarithm of the determinant.
This function estimates the slogdet of the freeform or that of a larger matrix containing it using free decompression.
- Parameters:
- sizeint, default=None
The size of the matrix containing \(\mathbf{A}\) to estimate eigenvalues of. If None, returns estimates of the eigenvalues of \(\mathbf{A}\) itself.
- seedint, default=None
The seed for the Quasi-Monte Carlo sampler.
- Returns:
- signfloat
Sign of determinant
- ldfloat
natural logarithm of the absolute value of the determinant
Notes
All arguments to the .decompress() procedure can be provided.
Examples
>>> from freealg import FreeForm