The inverse of a Gram matrix, \( K^{-1} \), allowing transparent multiplication with vectors and matrices. More...

#include <InverseGramMatrix.h>

Public Member Functions
	InverseGramMatrix (const GramMatrix &gram_matrix)
	Construct an inverse Gram matrix from a Gram matrix.

const GramMatrix &	gram_matrix () const
	Get read-only access to the underlying Gram matrix of the inverse Gram matrix.

template<class Derived>
Matrix	operator* (const MatrixBase< Derived > &A) const
	Multiply the inverse of the Gram matrix with another matrix, \( K^{-1}A \).

Private Attributes
const GramMatrix &	gram_matrix_
	Gram matrix to use for the inversion.

Detailed Description

The inverse of a Gram matrix, \( K^{-1} \), allowing transparent multiplication with vectors and matrices.

Note that only right multiplication is supported. The implementation is just a thin wrapper around GramMatrix::inverse_mult. No data is copied, making this class valid only as long as it maintains a valid reference to the Gram matrix.

Vector x;
GramMatrix gram_matrix{...};
Vector result = gram_matrix.inverse() * x;

Constructor & Destructor Documentation

◆ InverseGramMatrix()

lucid::InverseGramMatrix::InverseGramMatrix ( const GramMatrix & gram_matrix )

inlineexplicit

Construct an inverse Gram matrix from a Gram matrix.

Parameters

gram_matrix Gram matrix to use for the inversion.

Member Function Documentation

◆ gram_matrix()

const GramMatrix & lucid::InverseGramMatrix::gram_matrix ( ) const

inlinenodiscard

Get read-only access to the underlying Gram matrix of the inverse Gram matrix.

Returns: underlying Gram matrix of the inverse Gram matrix

◆ operator*()

template<class Derived>

Matrix lucid::InverseGramMatrix::operator* ( const MatrixBase< Derived > & A ) const

Multiply the inverse of the Gram matrix with another matrix, \( K^{-1}A \).