Wigner

A Hermitian matrix whose entries in one triangle are all independent samples from a normal distribution. The spectra of these matrices are well-studied.

C++ API

void Wigner(Matrix<F> &A, Int n, F mean = 0, Base<F> stddev = 1)

void Wigner(AbstractDistMatrix<F> &A, Int n, F mean = 0, Base<F> stddev = 1)

C API

ElError ElWigner_s(ElMatrix_s A, ElInt n, float mean, float stddev)

ElError ElWigner_d(ElMatrix_d A, ElInt n, double mean, double stddev)

ElError ElWigner_c(ElMatrix_c A, ElInt n, complex_float mean, float stddev)

ElError ElWigner_z(ElMatrix_z A, ElInt n, complex_double mean, double stddev)

ElError ElWignerDist_s(ElDistMatrix_s A, ElInt n, float mean, float stddev)

ElError ElWignerDist_d(ElDistMatrix_d A, ElInt n, double mean, double stddev)

ElError ElWignerDist_c(ElDistMatrix_c A, ElInt n, complex_float mean, float stddev)

ElError ElWignerDist_z(ElDistMatrix_z A, ElInt n, complex_double mean, double stddev)

Python API

Wigner(A, n, mean=0, stddev=1)