jax.numpy.linalg.slogdet#

jax.numpy.linalg.slogdet(a,*,method=None)[source]#

Compute the sign and (natural) logarithm of the determinant of an array.

JAX implementation ofnumpy.linalg.slogdet().

Parameters:

• a (ArrayLike) – array of shape(...,M,M) for which to compute the sign and log determinant.

• method (str |None) –

  the method to use for determinant computation. Options are

  • 'lu' (default): use the LU decomposition.

  • 'qr': use the QR decomposition.

Returns:

A tuple of arrays(sign,logabsdet), each of shapea.shape[:-2]

• sign is the sign of the determinant.

• logabsdet is the natural log of the determinant’s absolute value.

Return type:

SlogdetResult

See also

jax.numpy.linalg.det(): direct computation of determinant

Examples

>>>a=jnp.array([[1,2],...[3,4]])>>>sign,logabsdet=jnp.linalg.slogdet(a)>>>sign# -1 indicates negative determinantArray(-1., dtype=float32)>>>jnp.exp(logabsdet)# Absolute value of determinantArray(2., dtype=float32)