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

VectorSpaceBasisDecomposition

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

A functional interface for decomposing a vector into coefficients with respect to a vector space basis.

Type Parameters

Number

The type of scalar coefficients.

Vector

The type of vectors being decomposed.

Index

The type used to index basis elements.

Inheritors

VectorSpaceBasis

Types

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

A finite version of VectorSpaceBasisDecomposition indexed by UInt.

fun interface Result<out Number, in Index>

The result of decomposing a vector: provides access to scalar coefficients by index. The result satisfies formula \[input = \sum_{index\ i} result[i] \cdot basis[i]\]

Functions

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

Decomposes a vector into coefficients with respect to the basis.