kone.linearAlgebra/dev.lounres.kone.algebraic.basis/VectorSpaceBasis

VectorSpaceBasis

interface VectorSpaceBasis<out Number, Vector, in Index> : VectorSpaceBasisDecomposition<Number, Vector, Index> (source)

Represents a basis of a vector space over a field.

Type Parameters

Number

The type of scalar coefficients (from the underlying field).

Vector

The type of vectors.

Index

The type used to index basis elements.

Inheritors

Types

interface Finite<out Number, Vector> : VectorSpaceBasis<Number, Vector, UInt> , VectorSpaceBasisDecomposition.Finite<Number, Vector>

A finite version of VectorSpaceBasis indexed by UInt.

Functions

abstract fun decompose(vector: Vector): VectorSpaceBasisDecomposition.Result<Number, Index>

Decomposes a vector into coefficients with respect to the basis.

abstract operator fun get(index: Index): Vector

Returns the basis element at the given index.