Package dk.jonaslindstrom.ruffini.common.abstractions

Interface InnerProductSpace<V,S,F extends Field<S>>

Type Parameters:

V - Vector type.

S - Scalar type.

F - Scalar field type

All Superinterfaces:

AdditiveGroup<V>, CommutativeMonoid<V>, Module<V,S,F>, Set<V>, VectorSpace<V,S,F>

All Known Implementing Classes:

ComplexCoordinateSpace, RealCoordinateSpace, VectorSpaceOverField

public interface InnerProductSpace<V,S,F extends Field<S>>
extends VectorSpace<V,S,F>

A group is a set with an associative addition operation and an inverse operation.

Method Summary

Modifier and Type	Method	Description
S	innerProduct(V v, V u)	Return the inner product ⟨v,u⟩ of two vectors v and u.

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.AdditiveGroup

doubling, isZero, negate, scale, scale, subtract, sum

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.CommutativeMonoid

add, add, add, zero

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.Module

getScalars, scale

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.Set

equals, toString

Method Details

innerProduct

S innerProduct(V v,
 V u)

Return the inner product ⟨v,u⟩ of two vectors v and u.