numerical::least_squares_solution< T > Struct Template Reference

A least-squares solution and what numpy.linalg.lstsq reports beside it (least_squares). More...

#include <decomposition.hpp>

Collaboration diagram for numerical::least_squares_solution< T >:

Public Attributes
matrix< T >	solution
	The minimum-norm x of A x ≈ B (n × k), lstsq's.
vector< double >	residuals
	Per column of B, ‖B − A x‖²: for a tall A of full column rank, else empty.
std::size_t	rank {0}
	The numerical rank of A (matrix_rank).
vector< double >	singular_values
	The singular values of A, descending (singular_values).

Detailed Description

template<typename T>
struct numerical::least_squares_solution< T >

A least-squares solution and what numpy.linalg.lstsq reports beside it (least_squares).

Definition at line 6588 of file decomposition.hpp.

Member Data Documentation

rank

template<typename T >

std::size_t numerical::least_squares_solution< T >::rank {0}

The numerical rank of A (matrix_rank).

Definition at line 6592 of file decomposition.hpp.

residuals

template<typename T >

vector<double> numerical::least_squares_solution< T >::residuals

Per column of B, ‖B − A x‖²: for a tall A of full column rank, else empty.

Definition at line 6591 of file decomposition.hpp.

singular_values

template<typename T >

vector<double> numerical::least_squares_solution< T >::singular_values

The singular values of A, descending (singular_values).

Definition at line 6593 of file decomposition.hpp.

solution

template<typename T >

matrix<T> numerical::least_squares_solution< T >::solution

The minimum-norm x of A x ≈ B (n × k), lstsq's.

Definition at line 6590 of file decomposition.hpp.

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The documentation for this struct was generated from the following file:

• include/numerical/decomposition.hpp