com.numericalmethod.suanshu.mathstructure
Interface VectorSpace<V,F extends Field<F>>

Type Parameters:

V - a vector space

F - a field

All Superinterfaces:

AbelianGroup<V>

All Known Subinterfaces:

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

All Known Implementing Classes:

Basis, ComplexMatrix, DenseVector, DPolynomial, GenericMatrix, ImmutableVector, Polynomial, RealMatrix, SparseVector

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

This interface represents a vector space.

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

See Also:

Wikipedia: Vector space

Method Summary

V	scaled(F scalar) * : F × V → V The result of applying this function to 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 scalar)

* : F × V → V

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

Parameters:

scalar - a multiplier

Returns:

scalar * this

See Also:

Wikipedia: Scalar multiplication