Math.LinearMap.Category

Linear maps

Function implementation

data LinearFunction s v w

type v -+> w

type Bilinear v w y

Tensor implementation

data LinearMap s v w

type v +> w

(⊕)

(>+<)

adjoint

Dual vectors

(<.>^)

Tensor spaces

data Tensor s v w

type v w

(⊗)

Norms

data Norm v

type Seminorm v

spanNorm

euclideanNorm

(|$|)

normSq

(<$|)

scaleNorm

normSpanningSystem

normSpanningSystem'

Variances

type Variance v

spanVariance

dualNorm

dependence

Utility

densifyNorm

Solving linear equations

(\$)

pseudoInverse

roughDet

Eigenvalue problems

eigen

constructEigenSystem

roughEigenSystem

finishEigenSystem

data Eigenvector v

The classes of suitable vector spaces

type LSpace v

class TensorSpace v

class LinearSpace v

Orthonormal systems

class SemiInner v

cartesianDualBasisCandidates

Finite baseis

class FiniteDimensional v

Utility

Linear primitives

addV

scale

inner

flipBilin

bilinearFunction

Hilbert space operations

type DualSpace v

riesz

coRiesz

showsPrecAsRiesz

(.<)

Constraint synonyms

type HilbertSpace v

type SimpleSpace v

type Num' s

type Num'' s

type Num''' s

type Fractional' s

type Fractional'' s

type RealFrac' s

type RealFloat' s

Misc

relaxNorm

transformNorm

transformVariance

findNormalLength

normalLength

summandSpaceNorms

sumSubspaceNorms

sharedNormSpanningSystem