sparse_operator_norm_double(_:_:)

Declaration

func sparse_operator_norm_double(_ A: sparse_matrix_double!, _ norm: sparse_norm) -> Double

Parameters

• A:

  The sparse matrix, A.

• norm:

  Specify the norm to be computed. Must be one of Sparse_norm_one, Sparse_norm_two, or Sparse_norm_inf. See discussion for further details.

Return Value

The requested norm.

Discussion

This is the norm of the matrix treated as an linear operator, not the element-wise norm. Specify one of:

| SPARSE_NORM_ONE | max over j ( sum over i ( | A[i,j] | ) ) | |—|—| | SPARSE_NORM_TWO | Maximum singular value. This is significantly more expensive to compute than the other norms. | | SPARSE_NORM_INF | max over i ( sum over j ( | A[i,j] | ) ) | | SPARSE_NORM_R1 | Not supported, undefined. |

If norm is not one of the enumerated norm types, the default value is SPARSE_NORM_INF.

See Also

Matrix-Vector Operations

• sparse_matrix_vector_product_dense_double(_:_:_:_:_:_:_:)
• sparse_matrix_vector_product_dense_float(_:_:_:_:_:_:_:)
• sparse_vector_triangular_solve_dense_double(_:_:_:_:_:)
• sparse_vector_triangular_solve_dense_float(_:_:_:_:_:)
• sparse_outer_product_dense_double(_:_:_:_:_:_:_:_:_:)
• sparse_outer_product_dense_float(_:_:_:_:_:_:_:_:_:)
• sparse_permute_rows_double(_:_:)
• sparse_permute_rows_float(_:_:)
• sparse_permute_cols_double(_:_:)
• sparse_permute_cols_float(_:_:)
• sparse_elementwise_norm_double(_:_:)
• sparse_elementwise_norm_float(_:_:)
• sparse_operator_norm_float(_:_:)
• sparse_matrix_trace_double(_:_:)
• sparse_matrix_trace_float(_:_:)