Matrix.Matrix

Description

Basic matrix routines

Synopsis

mm_mult :: (Ix i, Ix j, Ix k, Num a) => Array (i, j) a -> Array (j, k) a -> Array (i, k) a
mv_mult :: (Ix i, Ix j, Num a) => Array (i, j) a -> Array j a -> Array i a
m_trans :: (Ix i, Ix j, Num a) => Array (i, j) a -> Array (j, i) a
m_hermit :: (Ix i, Ix j, RealFloat a) => Array (i, j) (Complex a) -> Array (j, i) (Complex a)
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
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

Documentation

Arguments

Matrix-matrix multiplication: A x B = C

Arguments

Matrix-vector multiplication: A x b = c

Arguments

Transpose of a matrix

Arguments

Hermitian transpose (conjugate transpose) of a matrix

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

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

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

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

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

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

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

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

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

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

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