Data.Matrix.Class.IMatrix

An overloaded interface for immutable matrices. The matrices provide access to rows and columns, and can operate via multiplication on immutable dense vectors and matrices.

The IMatrix type class

class (MatrixShaped a, BLAS3 e) => IMatrix a e

A type class for immutable matrices. The member functions of the type class do not perform any checks on the validity of shapes or indices, so in general their safe counterparts should be preferred.

Instances

BLAS3 e => IMatrix Matrix e

BLAS3 e => IMatrix Banded e

BLAS3 e => IMatrix (Tri Matrix) e

BLAS3 e => IMatrix (Tri Banded) e

BLAS3 e => IMatrix (Herm Matrix) e

BLAS3 e => IMatrix (Herm Banded) e

Rows and columns

row :: IMatrix a e => a (m, n) e -> Int -> Vector n e

Get the given row in a matrix.

col :: IMatrix a e => a (m, n) e -> Int -> Vector m e

Get the given column in a matrix.

rows :: IMatrix a e => a (m, n) e -> [Vector n e]

Get a list the row vectors in the matrix.

cols :: IMatrix a e => a (m, n) e -> [Vector m e]

Get a list the column vectors in the matrix.

Multiplication

(<*>) :: IMatrix a e => a (m, n) e -> Vector n e -> Vector m e

Matrix multiplication by a vector.

(<**>) :: IMatrix a e => a (m, k) e -> Matrix (k, n) e -> Matrix (m, n) e

Matrix multiplication by a matrix.

sapply :: IMatrix a e => e -> a (m, n) e -> Vector n e -> Vector m e

Scale and multiply by a vector. sapply k a x is equal to a <*> (k *> x), and often it is faster.

sapplyMat :: IMatrix a e => e -> a (m, k) e -> Matrix (k, n) e -> Matrix (m, n) e

Scale and multiply by a matrix. sapplyMat k a b is equal to a <**> (k *> b), and often it is faster.