Matrix.Matrix

Basic matrix routines

Documentation

mm_mult

Arguments

:: (Ix i, Ix j, Ix k, Num a)

=> Array (i, j) a

A

-> Array (j, k) a

B

-> Array (i, k) a

C

Matrix-matrix multiplication: A x B = C

mv_mult

Arguments

:: (Ix i, Ix j, Num a)

=> Array (i, j) a

A

-> Array j a

b

-> Array i a

c

Matrix-vector multiplication: A x b = c

m_trans

Arguments

:: (Ix i, Ix j, Num a)

=> Array (i, j) a

A

-> Array (j, i) a

A^T

Transpose of a matrix

m_hermit

Arguments

:: (Ix i, Ix j, RealFloat a)

=> Array (i, j) (Complex a)

A

-> Array (j, i) (Complex a)

A^H

Hermitian transpose (conjugate transpose) of a matrix

columnBounds :: (Ix i, Ix j) => Array (i, j) a -> (i, i)

rowBounds :: (Ix i, Ix j) => Array (i, j) a -> (j, j)

getColumn :: (Ix i, Ix j) => j -> Array (i, j) e -> Array i e

getRow :: (Ix i, Ix j) => i -> Array (i, j) e -> Array j e

toColumns :: (Ix i, Ix j) => Array (i, j) a -> [Array i a]

toRows :: (Ix i, Ix j) => Array (i, j) a -> [Array j a]

fromColumns :: Ix i => (i, i) -> [Array i a] -> Array (i, Int) a

We need the bounds of the row indices for empty input lists.

fromRows :: Ix j => (j, j) -> [Array j a] -> Array (Int, j) a

outer :: (Ix i, Ix j, Num a) => Array i a -> Array j a -> Array (i, j) a

inner :: (Ix i, Num a) => Array i a -> Array i a -> a