Numeric.LAPACK.Matrix.Permutation

Documentation

data Permutation sh

Instances

(Show sh, C sh) => Show (Permutation sh)

Box (Permutation sh)

(C sh, Eq sh) => MultiplySame (Permutation sh)

C sh => FormatMatrix (Permutation sh)

C sh => Format (Permutation sh)

Indexed size => Indexed (Permutation size)

C shape => Power (Permutation shape)

C shape => MultiplySquare (Permutation shape)

C shape => MultiplyVector (Permutation shape)

C shape => Inverse (Permutation shape)

C shape => Solve (Permutation shape)

C shape => Determinant (Permutation shape)

C sh => SquareShape (Permutation sh)

C shape => Complex (Permutation shape)

(C shapeA, Eq shapeA, ~ * shapeA shapeB, C shapeB) => Multiply (Permutation shapeA) (Permutation shapeB)

(Show sh, C sh) => Show (Matrix (Permutation sh) a)

size :: Matrix (Permutation sh) a -> sh

identity :: C sh => sh -> Matrix (Permutation sh) a

data Inversion

Constructors

NonInverted

Inverted

Instances

Bounded Inversion

Enum Inversion

Eq Inversion

Show Inversion

Monoid Inversion

Semigroup Inversion

inversionFromTransposition :: Transposition -> Inversion

fromPermutation :: C sh => Permutation sh -> Matrix (Permutation sh) a

toPermutation :: C sh => Matrix (Permutation sh) a -> Permutation sh

toMatrix :: (C sh, Floating a) => Matrix (Permutation sh) a -> Square sh a

determinant :: (C sh, Floating a) => Matrix (Permutation sh) a -> a

transpose :: C sh => Matrix (Permutation sh) a -> Matrix (Permutation sh) a

multiplyVector :: (C size, Eq size, Floating a) => Inversion -> Matrix (Permutation size) a -> Vector size a -> Vector size a

multiplyFull :: (C vert, C horiz, C height, Eq height, C width, Floating a) => Inversion -> Matrix (Permutation height) a -> Full vert horiz height width a -> Full vert horiz height width a