numeric-quest-0.2.0.1: Math and quantum mechanics

Safe HaskellSafe-Inferred
LanguageHaskell98

Orthogonals

Synopsis

Documentation

bra_ket :: (Scalar a, Num a) => [a] -> [a] -> a Source

class Eq a => Scalar a where Source

Methods

coupled :: a -> a Source

norm :: [a] -> a Source

almostZero :: a -> Bool Source

scaled :: [a] -> [a] Source

norm1 :: Num a => [a] -> a Source

norminf :: (Num a, Ord a) => [a] -> a Source

matnorm1 :: (Num a, Ord a) => [[a]] -> a Source

matnorminf :: (Num a, Ord a) => [[a]] -> a Source

sum_product :: Num a => [a] -> [a] -> a Source

normalized :: (Scalar a, Fractional a) => [a] -> [a] Source

scaled' :: (Fractional t, Ord t) => [t] -> [t] Source

transposed :: [[a]] -> [[a]] Source

adjoint :: Scalar a => [[a]] -> [[a]] Source

matrix_zipWith :: (a -> b -> c) -> [[a]] -> [[b]] -> [[c]] Source

add_matrices :: Num a => t -> t1 -> [[a]] -> [[a]] -> [[a]] Source

matrix_matrix :: Num a => [[a]] -> [[a]] -> [[a]] Source

matrix_matrix' :: Num a => [[a]] -> [[a]] -> [[a]] Source

triangle_matrix' :: Num a => [[a]] -> [[a]] -> [[a]] Source

matrix_ket :: Num a => [[a]] -> [a] -> [a] Source

bra_matrix :: (Scalar a, Num a) => [a] -> [[a]] -> [a] Source

bra_matrix_ket :: (Scalar a, Num a) => [a] -> [[a]] -> [a] -> a Source

scalar_matrix :: Num a => a -> [[a]] -> [[a]] Source

orthogonals :: (Scalar a, Fractional a) => [a] -> [[a]] Source

gram_schmidt :: (Scalar a, Fractional a) => [[a]] -> [a] -> [a] Source

one_ket_triangle :: (Scalar a, Fractional a) => [[a]] -> [a] -> [([a], a)] Source

one_ket_solution :: (Scalar a, Fractional a) => [[a]] -> [a] -> [a] Source

many_kets_triangle :: (Scalar a, Fractional a) => [[a]] -> [[a]] -> [([a], [a])] Source

many_kets_solution :: (Scalar a, Fractional a) => [[a]] -> [[a]] -> [[a]] Source

inverse :: (Scalar a, Fractional a) => [[a]] -> [[a]] Source

factors_QR :: (Scalar a, Fractional a) => [[a]] -> ([[a]], [[a]]) Source

determinant :: (Scalar a, Fractional a) => [[a]] -> a Source

determinantNaive :: Num a => [[a]] -> a Source

determinantClow :: Num a => [[a]] -> a Source

newClow :: Num a => [[a]] -> [[a]] -> [a] Source

extendClow :: Num a => [[a]] -> [[a]] -> [[a]] Source

longerClow :: Num a => [[a]] -> [[a]] -> [[a]] Source

nest :: Int -> (a -> a) -> a -> a Source

Compositional power of a function, i.e. apply the function n times to a value.

removeEach :: [a] -> [[a]] Source

alternate :: Num a => [a] -> [a] Source

parityFlip :: Num a => Int -> a -> a Source

scaleVec :: Num a => a -> [a] -> [a] Source

Weight a list of numbers by a scalar.

addVec :: Num a => [a] -> [a] -> [a] Source

Add corresponding numbers of two lists.

sumVec :: Num a => [[a]] -> [a] Source

Add some lists.

similar_to :: (Scalar a, Fractional a) => [[a]] -> [[a]] Source

iterated_eigenvalues :: (Scalar a1, Fractional a1, Eq a, Num a) => [[a1]] -> a -> [[a1]] Source

eigenvalues :: (Scalar a1, Fractional a1, Eq a, Num a) => [[a1]] -> a -> [a1] Source

add_to_diagonal :: Num a => a -> [[a]] -> [[a]] Source

eigenkets :: (Scalar a, Fractional a) => [[a]] -> [a] -> [[a]] Source

eigenket' :: (Scalar a, Fractional a) => [[a]] -> a -> a -> [a] -> [a] Source

unit_matrix :: Num a => Int -> [[a]] Source

unit_vector :: Num a => Int -> Int -> [a] Source

diagonals :: [[a]] -> [a] Source