freealg.FreeForm.slogdet

FreeForm.slogdet(size, 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

See also

eigh

cond

trace

norm

Notes

All arguments to the .decompress() procedure can be provided.

Examples

>>> ...