Schatten norms¶

Implementations

The following routines compute the \(\ell_p\) norm of the singular values.

C++ API¶

Base<F> SchattenNorm(const Matrix<F> &A, Base<F> p)¶

Base<F> SchattenNorm(const AbstractDistMatrix<F> &A, Base<F> p)¶

Base<F> SymmetricSchattenNorm(UpperOrLower uplo, const Matrix<F> &A, Base<F> p)¶

Base<F> SymmetricSchattenNorm(UpperOrLower uplo, const AbstractDistMatrix<F> &A, Base<F> p)¶

Base<F> HermitianSchattenNorm(UpperOrLower uplo, const Matrix<F> &A, Base<F> p)¶

Base<F> HermitianSchattenNorm(UpperOrLower uplo, const AbstractDistMatrix<F> &A, Base<F> p)¶

C API¶

ElError ElSchattenNorm_s(ElConstMatrix_s A, float p, float* norm)¶

ElError ElSchattenNorm_d(ElConstMatrix_d A, double p, double* norm)¶

ElError ElSchattenNorm_c(ElConstMatrix_c A, float p, float* norm)¶

ElError ElSchattenNorm_z(ElConstMatrix_z A, double p, double* norm)¶

ElError ElSchattenNormDist_s(ElConstDistMatrix_s A, float p, float* norm)¶

ElError ElSchattenNormDist_d(ElConstDistMatrix_d A, double p, double* norm)¶

ElError ElSchattenNormDist_c(ElConstDistMatrix_c A, float p, float* norm)¶

ElError ElSchattenNormDist_z(ElConstDistMatrix_z A, double p, double* norm)¶

Python API¶

TODO