X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=src%2FLinear%2FMatrix.hs;fp=src%2FLinear%2FMatrix.hs;h=4c2c7f3e65c7addad3bf7a89f2cae6299b5c9cbf;hb=521860d4511fb56320dc68399c067cd7b2e714dd;hp=a06151db14262838394f473f83841f4766c62266;hpb=1d0eef94c31c60a51b1340fb8e65a2173f0f69f6;p=numerical-analysis.git diff --git a/src/Linear/Matrix.hs b/src/Linear/Matrix.hs index a06151d..4c2c7f3 100644 --- a/src/Linear/Matrix.hs +++ b/src/Linear/Matrix.hs @@ -348,15 +348,21 @@ identity_matrix = -- >>> frobenius_norm (r - (transpose expected)) < 1e-12 -- True -- -cholesky :: forall m n a. (Algebraic.C a, Arity m, Arity n) - => (Mat m n a) -> (Mat m n a) -cholesky m = construct r +cholesky :: forall m a. (Algebraic.C a, Arity m) + => (Mat m m a) -> (Mat m m a) +cholesky m = ifoldl2 f zero m where - r :: Int -> Int -> a - r i j | i == j = sqrt(m !!! (i,j) - sum [(r k i)^2 | k <- [0..i-1]]) - | i < j = - (((m !!! (i,j)) - sum [(r k i) NP.* (r k j) | k <- [0..i-1]]))/(r i i) - | otherwise = 0 + f :: Int -> Int -> (Mat m m a) -> a -> (Mat m m a) + f i j cur_R _ = set_idx cur_R (i,j) (r cur_R i j) + + r :: (Mat m m a) -> Int -> Int -> a + r cur_R i j + | i == j = sqrt(m !!! (i,j) - sum [(cur_R !!! (k,i))^2 | k <- [0..i-1]]) + | i < j = (((m !!! (i,j)) + - sum [(cur_R !!! (k,i)) NP.* (cur_R !!! (k,j)) + | k <- [0..i-1]]))/(cur_R !!! (i,i)) + | otherwise = 0 + -- | Returns True if the given matrix is upper-triangular, and False