jax.scipy.linalg.fiedler

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jax.scipy.linalg.fiedler#

jax.scipy.linalg.fiedler(a)[source]#

Construct a symmetric Fiedler matrix.

JAX implementation of scipy.linalg.fiedler().

The Fiedler matrix has entries \(F_{ij} = |a_i - a_j|\) for \(0 \le i, j < n\), where a is the input vector. The result is symmetric with a zero diagonal.

Parameters:

a (ArrayLike) – array of shape (..., N).

Returns:

A Fiedler matrix of shape (..., N, N).

Return type:

Array

Examples

>>> jax.scipy.linalg.fiedler(jnp.array([1, 4, 12, 45, 77]))
Array([[ 0,  3, 11, 44, 76],
       [ 3,  0,  8, 41, 73],
       [11,  8,  0, 33, 65],
       [44, 41, 33,  0, 32],
       [76, 73, 65, 32,  0]], dtype=int32)
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