imate.InterpolateSchatten.eval

InterpolateSchatten.eval(t)

Evaluate the exact value of the function at the input point t without interpolation.

Warning

If t is an array of large size, this may take a very long run time as all input points are evaluated without.

Parameters:

tfloat or array_like[float]

An inquiry point (or list of points) to interpolate.

Returns:

normfloat or numpy.array

Exact values of the function. If the input t is a list or array, the output is an array of the same size of t.

See also

imate.InterpolateSchatten.__call__

imate.InterpolateSchatten.interpolate

Examples

>>> # Generate two sample matrices (symmetric positive-definite)
>>> from imate.sample_matrices import correlation_matrix
>>> A = correlation_matrix(size=20, scale=1e-1)

>>> # Initialize interpolator object
>>> from imate import InterpolateSchatten
>>> ti = [1e-2, 1e-1, 1, 1e1]
>>> f = InterpolateSchatten(A, ti=ti)

>>> # Exact function value at an inquiry point t = 0.4
>>> t = 4e-1
>>> f.eval(t)
1.7175340160001527

>>> # Array of input points
>>> t = [4e-1, 4, 4e+1]
>>> f.eval(t)
array([ 1.71753402,  5.0980313 , 41.01207046])