Datalens.ai
← All algorithms

DECOMPOSITION

fractional_matrix_power

Compute the fractional power of a matrix.

Example of usage

Factorise a labelled industrial sensor calibration matrix and verify reconstruction.

Usage / limitations

+Use when: Compute fractional transformations of system matrices.

−Limitations: Matrix shape, symmetry, conditioning and numerical precision constrain validity.

Mathematical formula

Aᵖ defined using matrix functions.
Sample dataShow
{
  "variable": "measurement_matrix",
  "domain": "Industrial sensor calibration",
  "feature_names": [
    "temperature_c",
    "vibration_mm_s"
  ],
  "matrix": [
    [
      4.0,
      0.0
    ],
    [
      0.0,
      9.0
    ]
  ]
}

Code example (Python)

# DataLens.ai example
# Factorise the named two- or three-sensor calibration matrix.
from scipy.linalg import fractional_matrix_power
result = fractional_matrix_power(A, 0.5)
assert np.allclose(result @ result, A)
print("Expected output verified")