lapack-0.2.1: Numerical Linear Algebra using LAPACK

Numeric.LAPACK.Matrix.Hermitian

Synopsis

# Documentation

Constructors

 NonTransposed Transposed

fromList :: (C sh, Storable a) => Order -> sh -> [a] -> Hermitian sh aSource

identity :: (C sh, Floating a) => Order -> sh -> Hermitian sh aSource

diagonal :: (C sh, Floating a) => Order -> Vector sh (RealOf a) -> Hermitian sh aSource

takeDiagonal :: (C sh, Floating a) => Hermitian sh a -> Vector sh (RealOf a)Source

multiplyVector :: (C sh, Eq sh, Floating a) => Transposition -> Hermitian sh a -> Vector sh a -> Vector sh aSource

square :: (C sh, Eq sh, Floating a) => Hermitian sh a -> Hermitian sh aSource

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 aSource

outer :: (C sh, Floating a) => Order -> Vector sh a -> Hermitian sh aSource

sumRank1 :: (C sh, Eq sh, Floating a) => Order -> sh -> [(RealOf a, Vector sh a)] -> Hermitian sh aSource

sumRank1NonEmpty :: (C sh, Eq sh, Floating a) => Order -> T [] (RealOf a, Vector sh a) -> Hermitian sh aSource

sumRank2 :: (C sh, Eq sh, Floating a) => Order -> sh -> [(a, (Vector sh a, Vector sh a))] -> Hermitian sh aSource

sumRank2NonEmpty :: (C sh, Eq sh, Floating a) => Order -> T [] (a, (Vector sh a, Vector sh a)) -> Hermitian sh aSource

toSquare :: (C sh, Floating a) => Hermitian sh a -> Square sh aSource

covariance :: (C height, C width, Eq width, Floating a) => General height width a -> Hermitian width aSource

A^H * A

addAdjoint :: (C sh, Floating a) => Square sh a -> Hermitian sh aSource

A^H + 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 aSource

inverse :: (C sh, Floating a) => Hermitian sh a -> Hermitian sh aSource

determinant :: (C sh, Floating a) => Hermitian sh a -> RealOf aSource

eigenvalues :: (C sh, Floating a) => Hermitian sh a -> Vector sh (RealOf a)Source

eigensystem :: (C sh, Floating a) => Hermitian sh a -> (Square sh a, Vector sh (RealOf a))Source

For symmetric eigenvalue problems, `eigensystem` and `schur` coincide.