Numeric.LAPACK.Matrix.Hermitian

Synopsis

• type Hermitian sh = Array (Hermitian sh)
• data Transposition
  • = NonTransposed
  • | Transposed
• fromList :: (C sh, Storable a) => Order -> sh -> [a] -> Hermitian sh a
• autoFromList :: Storable a => Order -> [a] -> Hermitian ZeroInt a
• identity :: (C sh, Floating a) => Order -> sh -> Hermitian sh a
• diagonal :: (C sh, Floating a) => Order -> Vector sh (RealOf a) -> Hermitian sh a
• takeDiagonal :: (C sh, Floating a) => Hermitian sh a -> Vector sh (RealOf a)
• forceOrder :: (C sh, Floating a) => Order -> Hermitian sh a -> Hermitian sh a
• stack :: (C sh0, Eq sh0, C sh1, Eq sh1, Floating a) => Hermitian sh0 a -> General sh0 sh1 a -> Hermitian sh1 a -> Hermitian (sh0 :+: sh1) a
• multiplyVector :: (C sh, Eq sh, Floating a) => Transposition -> Hermitian sh a -> Vector sh a -> Vector sh a
• square :: (C sh, Eq sh, Floating a) => Hermitian sh a -> Hermitian sh a
• multiplyFull :: (C vert, C horiz, C height, Eq height, C width, Floating a) => Transposition -> Hermitian height a -> Full vert horiz height width a -> Full vert horiz height width a
• outer :: (C sh, Floating a) => Order -> Vector sh a -> Hermitian sh a
• sumRank1 :: (C sh, Eq sh, Floating a) => Order -> sh -> [(RealOf a, Vector sh a)] -> Hermitian sh a
• sumRank1NonEmpty :: (C sh, Eq sh, Floating a) => Order -> T [] (RealOf a, Vector sh a) -> Hermitian sh a
• sumRank2 :: (C sh, Eq sh, Floating a) => Order -> sh -> [(a, (Vector sh a, Vector sh a))] -> Hermitian sh a
• sumRank2NonEmpty :: (C sh, Eq sh, Floating a) => Order -> T [] (a, (Vector sh a, Vector sh a)) -> Hermitian sh a
• toSquare :: (C sh, Floating a) => Hermitian sh a -> Square sh a
• covariance :: (C height, C width, Eq width, Floating a) => General height width a -> Hermitian width a
• addAdjoint :: (C sh, Floating a) => Square sh a -> Hermitian sh a
• solve :: (C vert, C horiz, C sh, Eq sh, C nrhs, Floating a) => Hermitian sh a -> Full vert horiz sh nrhs a -> Full vert horiz sh nrhs a
• inverse :: (C sh, Floating a) => Hermitian sh a -> Hermitian sh a
• determinant :: (C sh, Floating a) => Hermitian sh a -> RealOf a
• eigenvalues :: (C sh, Floating a) => Hermitian sh a -> Vector sh (RealOf a)
• eigensystem :: (C sh, Floating a) => Hermitian sh a -> (Square sh a, Vector sh (RealOf a))

Documentation

 toSquare (stack a b c)

 =

 toSquare a ||| b
 ===
 adjoint b ||| toSquare c