| Safe Haskell | None |
|---|---|
| Language | Haskell98 |
Numeric.LAPACK.Matrix.HermitianPositiveDefinite
Synopsis
- class (C neg, C pos) => Semidefinite neg pos
- assureFullRank :: (Semidefinite neg pos, C zero) => AnyHermitianP pack neg zero pos bands sh a -> AnyHermitianP pack neg False pos bands sh a
- assureAnyRank :: (Semidefinite neg pos, C zero) => AnyHermitianP pack neg True pos bands sh a -> AnyHermitianP pack neg zero pos bands sh a
- relaxSemidefinite :: (C neg, C zero, C pos) => AnyHermitianP pack neg False pos bands sh a -> AnyHermitianP pack neg zero pos bands sh a
- relaxIndefinite :: (C neg, C zero, C pos) => AnyHermitianP pack neg zero pos bands sh a -> Quadratic pack HermitianUnknownDefiniteness bands bands sh a
- assurePositiveDefiniteness :: (C neg, C zero, C pos) => AnyHermitianP pack neg zero pos bands sh a -> Quadratic pack HermitianPositiveDefinite bands bands sh a
- relaxDefiniteness :: (C neg, C zero, C pos) => Quadratic pack HermitianPositiveDefinite bands bands sh a -> AnyHermitianP pack neg zero pos bands sh a
- solve :: (Measure meas, C vert, C horiz, Packing pack, C sh, Eq sh, C nrhs, Floating a) => HermitianPosDefP pack sh a -> Full meas vert horiz sh nrhs a -> Full meas vert horiz sh nrhs a
- solveDecomposed :: (Measure meas, C vert, C horiz, Packing pack, C sh, Eq sh, C nrhs, Floating a) => UpperP pack sh a -> Full meas vert horiz sh nrhs a -> Full meas vert horiz sh nrhs a
- inverse :: (Packing pack, C sh, Floating a) => HermitianPosDefP pack sh a -> HermitianPosDefP pack sh a
- decompose :: (Packing pack, C sh, Floating a) => HermitianPosDefP pack sh a -> UpperP pack sh a
- determinant :: (Packing pack, C sh, Floating a) => HermitianPosDefP pack sh a -> RealOf a
Documentation
class (C neg, C pos) => Semidefinite neg pos Source #
Instances
| Semidefinite True False Source # | |
Defined in Numeric.LAPACK.Matrix.Array.Hermitian | |
| Semidefinite False True Source # | |
Defined in Numeric.LAPACK.Matrix.Array.Hermitian | |
assureFullRank :: (Semidefinite neg pos, C zero) => AnyHermitianP pack neg zero pos bands sh a -> AnyHermitianP pack neg False pos bands sh a Source #
assureAnyRank :: (Semidefinite neg pos, C zero) => AnyHermitianP pack neg True pos bands sh a -> AnyHermitianP pack neg zero pos bands sh a Source #
relaxSemidefinite :: (C neg, C zero, C pos) => AnyHermitianP pack neg False pos bands sh a -> AnyHermitianP pack neg zero pos bands sh a Source #
relaxIndefinite :: (C neg, C zero, C pos) => AnyHermitianP pack neg zero pos bands sh a -> Quadratic pack HermitianUnknownDefiniteness bands bands sh a Source #
assurePositiveDefiniteness :: (C neg, C zero, C pos) => AnyHermitianP pack neg zero pos bands sh a -> Quadratic pack HermitianPositiveDefinite bands bands sh a Source #
relaxDefiniteness :: (C neg, C zero, C pos) => Quadratic pack HermitianPositiveDefinite bands bands sh a -> AnyHermitianP pack neg zero pos bands sh a Source #
solve :: (Measure meas, C vert, C horiz, Packing pack, C sh, Eq sh, C nrhs, Floating a) => HermitianPosDefP pack sh a -> Full meas vert horiz sh nrhs a -> Full meas vert horiz sh nrhs a Source #
solveDecomposed :: (Measure meas, C vert, C horiz, Packing pack, C sh, Eq sh, C nrhs, Floating a) => UpperP pack sh a -> Full meas vert horiz sh nrhs a -> Full meas vert horiz sh nrhs a Source #
solve a b == solveDecomposed (decompose a) b solve (gramian u) b == solveDecomposed u b
inverse :: (Packing pack, C sh, Floating a) => HermitianPosDefP pack sh a -> HermitianPosDefP pack sh a Source #