# cupyx.scipy.linalg.fiedler¶

cupyx.scipy.linalg.fiedler(a)

Returns a symmetric Fiedler matrix

Given an sequence of numbers a, Fiedler matrices have the structure F[i, j] = np.abs(a[i] - a[j]), and hence zero diagonals and nonnegative entries. A Fiedler matrix has a dominant positive eigenvalue and other eigenvalues are negative. Although not valid generally, for certain inputs, the inverse and the determinant can be derived explicitly.

Parameters

a (cupy.ndarray) – coefficient array

Returns

the symmetric Fiedler matrix

Return type

cupy.ndarray