Copyright	[2017] Trevor L. McDonell
License	BSD3
Maintainer	Trevor L. McDonell <tmcdonell@cse.unsw.edu.au>
Stability	experimental
Portability	non-portable (GHC extensions)
Safe Haskell	None
Language	Haskell2010

Data.Array.Accelerate.Numeric.LinearAlgebra.BLAS.Level2

Description

Level 2 (matrix-vector) BLAS operations.

Synopsis

Documentation

class (Elt a, Num a) => Numeric a Source #

Minimal complete definition

numericR

Instances

Numeric Double Source #
Methods numericR :: NumericR Double
Numeric Float Source #
Methods numericR :: NumericR Float
Numeric (Complex Double) Source #
Methods numericR :: NumericR (Complex Double)
Numeric (Complex Float) Source #
Methods numericR :: NumericR (Complex Float)

type Vector e = Array DIM1 e #

Vectors are one-dimensional arrays

type Matrix e = Array DIM2 e Source #

Matrices as dense two-dimensional arrays in row-major ordering

data Transpose Source #

Many operations allow you to implicitly transpose the arguments. For a given input matrix mat with dimensions Z :. m :. n (that is; m rows and n columns):

Constructors

N	Leave the matrix as is.
T	Treat the matrix as implicitly transposed, with dimensions `Z :. n :. m`. Entry `Z :. j :. i` is treated as actually being entry `Z :. i :. j`.
H	Implicitly transpose and conjugate the input matrix. For complex-valued matrices a given element `mat ! Z:.j:.i == x :+ y` will be treated as actually being `mat ! Z:.i:.j == x :+ (-y)`.

Instances

Eq Transpose Source #
Methods (==) :: Transpose -> Transpose -> Bool # (/=) :: Transpose -> Transpose -> Bool #
Show Transpose Source #
Methods showsPrec :: Int -> Transpose -> ShowS # show :: Transpose -> String # showList :: [Transpose] -> ShowS #

gemv Source #

Arguments

:: Numeric e
=> Exp e	\( \alpha \)
-> Transpose	Operation to apply to A
-> Acc (Matrix e)	A
-> Acc (Vector e)	x
-> Acc (Vector e)	y

Computes the matrix-vector product of a general matrix.

\[ y = \alpha * \mathrm{op}(A) * x \]

where:

shape \(\mathrm{op}(A)\) = Z :. m :. n
shape \(x\) = Z :. n
shape \(y\) = Z :. m

https://software.intel.com/en-us/mkl-developer-reference-c-cblas-gemv