lapack-0.5: Numerical Linear Algebra using LAPACK

Numeric.LAPACK.Orthogonal.Householder

Synopsis

# Documentation

type Householder = HouseholderFlex Filled Filled Source #

type General height width = Householder Size Big Big height width Source #

type Tall height width = Householder Size Big Small height width Source #

type Wide height width = Householder Size Small Big height width Source #

type Square sh = SquareMeas Shape sh sh Source #

type LiberalSquare height width = SquareMeas Size height width Source #

mapExtent :: (Measure measA, C vertA, C horizA) => (Measure measB, C vertB, C horizB) => Map measA vertA horizA measB vertB horizB height width -> Householder measA vertA horizA height width a -> Householder measB vertB horizB height width a Source #

fromMatrix :: (Measure meas, C vert, C horiz, C height, C width, Floating a) => Full meas vert horiz height width a -> Householder meas vert horiz height width a Source #

determinant :: (C sh, Floating a) => HouseholderFlex lower upper Shape Small Small sh sh a -> a Source #

determinantAbsolute :: (Measure meas, C vert, C horiz, C height, C width, Floating a) => Householder meas vert horiz height width a -> RealOf a Source #

leastSquares :: (Measure meas, C vert, C horiz, C height, Eq height, C width, Eq width, C nrhs, Floating a) => Householder meas horiz Small height width a -> Full meas vert horiz height nrhs a -> Full meas vert horiz width nrhs a Source #

minimumNorm :: (Measure meas, C vert, C horiz, C height, Eq height, C width, Eq width, C nrhs, Floating a) => Householder meas vert Small width height a -> Full meas vert horiz height nrhs a -> Full meas vert horiz width nrhs a Source #

HH.minimumNorm (HH.fromMatrix a) b
==


Constructors

 NonTransposed Transposed

#### Instances

Instances details
 Source # Instance detailsDefined in Numeric.LAPACK.Matrix.Modifier Methods Source # Instance detailsDefined in Numeric.LAPACK.Matrix.Modifier Methods Source # Instance detailsDefined in Numeric.LAPACK.Matrix.Modifier Methods Source # Instance detailsDefined in Numeric.LAPACK.Matrix.Modifier MethodsshowList :: [Transposition] -> ShowS # Source # Instance detailsDefined in Numeric.LAPACK.Matrix.Modifier Methodsstimes :: Integral b => b -> Transposition -> Transposition # Source # Instance detailsDefined in Numeric.LAPACK.Matrix.Modifier Methods

Constructors

 NonConjugated Conjugated

#### Instances

Instances details
 Source # Instance detailsDefined in Numeric.LAPACK.Matrix.Modifier Methods Source # Instance detailsDefined in Numeric.LAPACK.Matrix.Modifier Methods Source # Instance detailsDefined in Numeric.LAPACK.Matrix.Modifier Methods Source # Instance detailsDefined in Numeric.LAPACK.Matrix.Modifier MethodsshowList :: [Conjugation] -> ShowS # Source # Instance detailsDefined in Numeric.LAPACK.Matrix.Modifier Methodsstimes :: Integral b => b -> Conjugation -> Conjugation # Source # Instance detailsDefined in Numeric.LAPACK.Matrix.Modifier Methodsmconcat :: [Conjugation] -> Conjugation #

extractQ :: (Measure meas, C vert, C horiz, Permutable height, C width, Floating a) => Householder meas vert horiz height width a -> Square height a Source #

extractR :: (Measure meas, C vert, C horiz, Permutable height, C width, Floating a) => Householder meas vert horiz height width a -> UpperTrapezoid meas vert horiz height width a Source #

multiplyQ :: (Measure measA, C vertA, C horizA, C widthA, Measure measB, C vertB, C horizB, C widthB, Permutable height, Eq height, Floating a) => Transposition -> Conjugation -> Householder measA vertA horizA height widthA a -> Full measB vertB horizB height widthB a -> Full measB vertB horizB height widthB a Source #

tallExtractQ :: (Measure meas, C vert, C height, Permutable width, Floating a) => Householder meas vert Small height width a -> Full meas vert Small height width a Source #

tallExtractR :: (Measure meas, C vert, C height, Permutable width, Floating a) => Householder meas vert Small height width a -> Upper width a Source #

tallMultiplyQ :: (Measure meas, C vert, C horiz, Permutable height, Eq height, C width, C fuse, Eq fuse, Floating a) => Householder meas vert Small height fuse a -> Full meas vert horiz fuse width a -> Full meas vert horiz height width a Source #

tallMultiplyQAdjoint :: (Measure meas, C vert, C horiz, Permutable height, C width, C fuse, Eq fuse, Floating a) => Householder meas horiz Small fuse height a -> Full meas vert horiz fuse width a -> Full meas vert horiz height width a Source #

tallMultiplyR :: (Measure measA, C vertA, Measure meas, C vert, C horiz, Permutable height, Eq height, C heightA, C widthB, Floating a) => Transposition -> Householder measA vertA Small heightA height a -> Full meas vert horiz height widthB a -> Full meas vert horiz height widthB a Source #

tallSolveR :: (Measure measA, C vertA, Measure meas, C vert, C horiz, C height, Permutable width, Eq width, C nrhs, Floating a) => Transposition -> Conjugation -> Householder measA vertA Small height width a -> Full meas vert horiz width nrhs a -> Full meas vert horiz width nrhs a Source #