org.ojalgo.algebra

Interface NormedVectorSpace<V,F extends Number>

All Superinterfaces:

Group, Group.Additive<V>, Operation, Operation.Addition<V>, ScalarOperation, ScalarOperation.Multiplication<V,F>, VectorSpace<V,F>

All Known Subinterfaces:

BasicMatrix, DecompositionStore<N>, MatrixStore<N>, PhysicalStore<N>, Scalar<N>, Tensor<N>

All Known Implementing Classes:

BigDenseStore, BigMatrix, BigScalar, ComplexDenseStore, ComplexMatrix, ComplexNumber, ComplexNumber.Normalised, GenericDenseStore, PrimitiveDenseStore, PrimitiveMatrix, PrimitiveScalar, Quaternion, Quaternion.Versor, QuaternionMatrix, RationalMatrix, RationalNumber, RawStore, SparseStore

public interface NormedVectorSpace<V,F extends Number>
extends VectorSpace<V,F>

Author:

apete

Nested Class Summary

Nested classes/interfaces inherited from interface org.ojalgo.algebra.Group

Group.Additive<S>, Group.Multiplicative<S>

Nested classes/interfaces inherited from interface org.ojalgo.algebra.Operation

Operation.Addition<T>, Operation.Division<T>, Operation.Multiplication<T>, Operation.Subtraction<T>

Nested classes/interfaces inherited from interface org.ojalgo.algebra.ScalarOperation

ScalarOperation.Addition<T,N extends Number>, ScalarOperation.Division<T,N extends Number>, ScalarOperation.Multiplication<T,N extends Number>, ScalarOperation.Subtraction<T,N extends Number>

Method Summary

Modifier and Type	Method and Description
boolean	isSmall(double comparedTo)
double	norm() this == this.signum().multiply(this.norm())
V	signum() this == this.signum().multiply(this.norm())

Methods inherited from interface org.ojalgo.algebra.VectorSpace

conjugate

Methods inherited from interface org.ojalgo.algebra.Group.Additive

negate

Methods inherited from interface org.ojalgo.algebra.Operation.Addition

add

Methods inherited from interface org.ojalgo.algebra.ScalarOperation.Multiplication

multiply, multiply

Method Detail

isSmall

boolean isSmall(double comparedTo)

Parameters:

comparedTo - What to compare with

Returns:

true if this is small compared to the magnitude of the input reference value.

norm

double norm()

this == this.signum().multiply(this.norm())

Returns:

The norm

signum

V signum()

this == this.signum().multiply(this.norm())

Returns:

A unit "vector"