com.numericalmethod.suanshu.mathstructure

Interface VectorSpace<V,F extends Field<F>>

Type Parameters:

V - a vector space

F - a field

All Superinterfaces:

AbelianGroup<V>, java.io.Serializable

All Known Subinterfaces:

BanachSpace<B,F>, HilbertSpace<H,F>, Matrix<T,F>, Vector

All Known Implementing Classes:

Basis, CauchyPolynomial, ComplexMatrix, DenseVector, DPolynomial, GenericMatrix, Gradient, ImmutableVector, Polynomial, QuadraticMonomial, RealMatrix, ScaledPolynomial, SparseVector, SVEC

public interface VectorSpace<V,F extends Field<F>>
extends AbelianGroup<V>

A vector space is a set V together with two binary operations that combine two entities to yield a third, called vector addition and scalar multiplication.

See Also:

Wikipedia: Vector space

Method Summary

Modifier and Type	Method and Description
V	scaled(F c) × : F × V → V The result of applying this function to a scalar, c, in F and v in V is denoted cv.

Methods inherited from interface com.numericalmethod.suanshu.mathstructure.AbelianGroup

add, minus, opposite, ZERO

Method Detail

scaled

V scaled(F c)

× : F × V → V

The result of applying this function to a scalar, c, in F and v in V is denoted cv.

Parameters:

c - a multiplier

Returns:

c * this

See Also:

Wikipedia: Scalar multiplication