Matrix multiplication

Detailed Description

Matrix-matrix, matrix-vector and vector-vector multiplication.

Collaboration diagram for Matrix multiplication:

Functions
Matrix	operator* (const Matrix &A, const Matrix &B)
	Matrix multiplication. More...
Matrix	operator* (Matrix &&A, const Matrix &B)
	Matrix multiplication. More...
Matrix	operator* (const Matrix &A, Matrix &&B)
	Matrix multiplication. More...
Matrix	operator* (Matrix &&A, Matrix &&B)
	Matrix multiplication. More...
SquareMatrix	operator* (const SquareMatrix &A, const SquareMatrix &B)
	Square matrix multiplication. More...
SquareMatrix	operator* (SquareMatrix &&A, const SquareMatrix &B)
	Square matrix multiplication. More...
SquareMatrix	operator* (const SquareMatrix &A, SquareMatrix &&B)
	Square matrix multiplication. More...
SquareMatrix	operator* (SquareMatrix &&A, SquareMatrix &&B)
	Square matrix multiplication. More...
Vector	operator* (const Matrix &A, const Vector &b)
	Matrix-vector multiplication. More...
Vector	operator* (Matrix &&A, const Vector &b)
	Matrix-vector multiplication. More...
Vector	operator* (const Matrix &A, Vector &&b)
	Matrix-vector multiplication. More...
Vector	operator* (Matrix &&A, Vector &&b)
	Matrix-vector multiplication. More...
RowVector	operator* (const RowVector &a, const Matrix &B)
	Matrix-vector multiplication. More...
RowVector	operator* (RowVector &&a, const Matrix &B)
	Matrix-vector multiplication. More...
RowVector	operator* (const RowVector &a, Matrix &&B)
	Matrix-vector multiplication. More...
RowVector	operator* (RowVector &&a, Matrix &&B)
	Matrix-vector multiplication. More...
double	operator* (const RowVector &a, const Vector &b)
	Vector-vector multiplication. More...
double	operator* (RowVector &&a, const Vector &b)
	Vector-vector multiplication. More...
double	operator* (const RowVector &a, Vector &&b)
	Vector-vector multiplication. More...
double	operator* (RowVector &&a, Vector &&b)
	Vector-vector multiplication. More...
Matrix	operator* (const PermutationMatrix &P, const Matrix &A)
	Left application of permutation matrix (P permutes rows of A). More...
Matrix &&	operator* (const PermutationMatrix &P, Matrix &&A)
	Left application of permutation matrix (P permutes rows of A). More...
Matrix	operator* (const Matrix &A, const PermutationMatrix &P)
	Right application of permutation matrix (P permutes columns of A). More...
Matrix &&	operator* (Matrix &&A, const PermutationMatrix &P)
	Right application of permutation matrix (P permutes columns of A). More...
SquareMatrix	operator* (const PermutationMatrix &P, const SquareMatrix &A)
	Left application of permutation matrix (P permutes rows of A). More...
SquareMatrix &&	operator* (const PermutationMatrix &P, SquareMatrix &&A)
	Left application of permutation matrix (P permutes rows of A). More...
SquareMatrix	operator* (const SquareMatrix &A, const PermutationMatrix &P)
	Right application of permutation matrix (P permutes columns of A). More...
SquareMatrix &&	operator* (SquareMatrix &&A, const PermutationMatrix &P)
	Right application of permutation matrix (P permutes columns of A). More...
Vector	operator* (const PermutationMatrix &P, const Vector &v)
	Left application of permutation matrix (P permutes rows of v). More...
Vector &&	operator* (const PermutationMatrix &P, Vector &&v)
	Left application of permutation matrix (P permutes rows of v). More...
RowVector	operator* (const RowVector &v, const PermutationMatrix &P)
	Right application of permutation matrix (P permutes columns of v). More...
RowVector &&	operator* (RowVector &&v, const PermutationMatrix &P)
	Right application of permutation matrix (P permutes columns of v). More...

Function Documentation

operator*() [1/32]

Matrix operator*	(	const Matrix &	A,
		const Matrix &	B
	)

Matrix multiplication.

Implementation

Matrix operator*(const Matrix &A, const Matrix &B) {
    assert(A.cols() == B.rows() && "Inner dimensions don't match");
    Matrix C = Matrix::zeros(A.rows(), B.cols());
    for (size_t j = 0; j < B.cols(); ++j)
        for (size_t k = 0; k < A.cols(); ++k)
            for (size_t i = 0; i < A.rows(); ++i)
                C(i, j) += A(i, k) * B(k, j);
    return C;
}

Definition at line 603 of file Matrix.cpp.

operator*() [2/32]

Matrix operator*	(	Matrix &&	A,
		const Matrix &	B
	)

Matrix multiplication.

Definition at line 614 of file Matrix.cpp.

operator*() [3/32]

Matrix operator*	(	const Matrix &	A,
		Matrix &&	B
	)

Matrix multiplication.

Definition at line 621 of file Matrix.cpp.

operator*() [4/32]

Matrix operator*	(	Matrix &&	A,
		Matrix &&	B
	)

Matrix multiplication.

Definition at line 628 of file Matrix.cpp.

operator*() [5/32]

SquareMatrix operator*	(	const SquareMatrix &	A,
		const SquareMatrix &	B
	)

Square matrix multiplication.

Definition at line 636 of file Matrix.cpp.

operator*() [6/32]

SquareMatrix operator*	(	SquareMatrix &&	A,
		const SquareMatrix &	B
	)

Square matrix multiplication.

Definition at line 640 of file Matrix.cpp.

operator*() [7/32]

SquareMatrix operator*	(	const SquareMatrix &	A,
		SquareMatrix &&	B
	)

Square matrix multiplication.

Definition at line 644 of file Matrix.cpp.

operator*() [8/32]

SquareMatrix operator*	(	SquareMatrix &&	A,
		SquareMatrix &&	B
	)

Square matrix multiplication.

Definition at line 648 of file Matrix.cpp.

operator*() [9/32]

Vector operator*	(	const Matrix &	A,
		const Vector &	b
	)

Matrix-vector multiplication.

Definition at line 653 of file Matrix.cpp.

operator*() [10/32]

Vector operator*	(	Matrix &&	A,
		const Vector &	b
	)

Matrix-vector multiplication.

Definition at line 656 of file Matrix.cpp.

operator*() [11/32]

Vector operator*	(	const Matrix &	A,
		Vector &&	b
	)

Matrix-vector multiplication.

Definition at line 659 of file Matrix.cpp.

operator*() [12/32]

Vector operator*	(	Matrix &&	A,
		Vector &&	b
	)

Matrix-vector multiplication.

Definition at line 662 of file Matrix.cpp.

operator*() [13/32]

RowVector operator*	(	const RowVector &	a,
		const Matrix &	B
	)

Matrix-vector multiplication.

Definition at line 666 of file Matrix.cpp.

operator*() [14/32]

RowVector operator*	(	RowVector &&	a,
		const Matrix &	B
	)

Matrix-vector multiplication.

Definition at line 669 of file Matrix.cpp.

operator*() [15/32]

RowVector operator*	(	const RowVector &	a,
		Matrix &&	B
	)

Matrix-vector multiplication.

Definition at line 672 of file Matrix.cpp.

operator*() [16/32]

RowVector operator*	(	RowVector &&	a,
		Matrix &&	B
	)

Matrix-vector multiplication.

Definition at line 675 of file Matrix.cpp.

operator*() [17/32]

double operator*	(	const RowVector &	a,
		const Vector &	b
	)

Vector-vector multiplication.

Definition at line 679 of file Matrix.cpp.

operator*() [18/32]

double operator*	(	RowVector &&	a,
		const Vector &	b
	)

Vector-vector multiplication.

Definition at line 682 of file Matrix.cpp.

operator*() [19/32]

double operator*	(	const RowVector &	a,
		Vector &&	b
	)

Vector-vector multiplication.

Definition at line 685 of file Matrix.cpp.

operator*() [20/32]

double operator*	(	RowVector &&	a,
		Vector &&	b
	)

Vector-vector multiplication.

Definition at line 688 of file Matrix.cpp.

operator*() [21/32]

Matrix operator* ( const PermutationMatrix &  P, const Matrix &  A  )

inline

Left application of permutation matrix (P permutes rows of A).

Definition at line 275 of file PermutationMatrix.hpp.

operator*() [22/32]

Matrix&& operator* ( const PermutationMatrix &  P, Matrix &&  A  )

inline

Left application of permutation matrix (P permutes rows of A).

Definition at line 281 of file PermutationMatrix.hpp.

operator*() [23/32]

Matrix operator* ( const Matrix &  A, const PermutationMatrix &  P  )

inline

Right application of permutation matrix (P permutes columns of A).

Definition at line 286 of file PermutationMatrix.hpp.

operator*() [24/32]

Matrix&& operator* ( Matrix &&  A, const PermutationMatrix &  P  )

inline

Right application of permutation matrix (P permutes columns of A).

Definition at line 292 of file PermutationMatrix.hpp.

operator*() [25/32]

SquareMatrix operator* ( const PermutationMatrix &  P, const SquareMatrix &  A  )

inline

Left application of permutation matrix (P permutes rows of A).

Definition at line 298 of file PermutationMatrix.hpp.

operator*() [26/32]

SquareMatrix&& operator* ( const PermutationMatrix &  P, SquareMatrix &&  A  )

inline

Left application of permutation matrix (P permutes rows of A).

Definition at line 305 of file PermutationMatrix.hpp.

operator*() [27/32]

SquareMatrix operator* ( const SquareMatrix &  A, const PermutationMatrix &  P  )

inline

Right application of permutation matrix (P permutes columns of A).

Definition at line 310 of file PermutationMatrix.hpp.

operator*() [28/32]

SquareMatrix&& operator* ( SquareMatrix &&  A, const PermutationMatrix &  P  )

inline

Right application of permutation matrix (P permutes columns of A).

Definition at line 317 of file PermutationMatrix.hpp.

operator*() [29/32]

Vector operator* ( const PermutationMatrix &  P, const Vector &  v  )

inline

Left application of permutation matrix (P permutes rows of v).

Definition at line 323 of file PermutationMatrix.hpp.

operator*() [30/32]

Vector&& operator* ( const PermutationMatrix &  P, Vector &&  v  )

inline

Left application of permutation matrix (P permutes rows of v).

Definition at line 329 of file PermutationMatrix.hpp.

operator*() [31/32]

RowVector operator* ( const RowVector &  v, const PermutationMatrix &  P  )

inline

Right application of permutation matrix (P permutes columns of v).

Definition at line 335 of file PermutationMatrix.hpp.

operator*() [32/32]

RowVector&& operator* ( RowVector &&  v, const PermutationMatrix &  P  )

inline

Right application of permutation matrix (P permutes columns of v).

Definition at line 341 of file PermutationMatrix.hpp.