org.ojalgo.algebra

Interface Field<S>

All Superinterfaces:

Group, Group.Additive<S>, Group.Multiplicative<S>, Operation, Operation.Addition<S>, Operation.Division<S>, Operation.Multiplication<S>, Operation.Subtraction<S>, Ring<S>

All Known Subinterfaces:

Scalar<N>

All Known Implementing Classes:

BigScalar, ComplexNumber, ComplexNumber.Normalised, ExactDecimal, Money, PrimitiveScalar, Quaternion, Quaternion.Versor, RationalNumber

public interface Field<S>
extends Ring<S>, Group.Multiplicative<S>, Operation.Subtraction<S>, Operation.Division<S>

A field is a commutative ring (even the multiplication operation) with notions of addition, subtraction, multiplication, and division. Any field may be used as the scalars for a vector space, which is the standard general context for linear algebra.

A division ring is a ring in which division is possible. Division rings differ from fields only in that their multiplication is not required to be commutative. In terms of a Java interface/class there is no need to differentiate between a field and a division ring.

Author:

apete

See Also:

Field, Division ring

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>

Method Summary

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.Group.Multiplicative

invert

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

multiply

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

subtract

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

divide