edu.jas.structure

Interface AlgebraElem<A extends AlgebraElem<A,C>,C extends RingElem<C>>

Type Parameters:

A - algebra type

C - scalar type

All Superinterfaces:

AbelianGroupElem<A>, java.lang.Comparable<A>, Element<A>, MonoidElem<A>, RingElem<A>, java.io.Serializable

All Known Implementing Classes:

GenMatrix

public interface AlgebraElem<A extends AlgebraElem<A,C>,C extends RingElem<C>>
extends RingElem<A>

Algabra element interface.

Author:

Heinz Kredel

Method Summary

Modifier and Type	Method and Description
A	linearCombination(A b, C s) Linear combination.
A	linearCombination(C a, A b, C s) Linear combination.
A	scalarMultiply(C s) Scalar multiplication.

Methods inherited from interface edu.jas.structure.RingElem

egcd, gcd, leftGcd, rightGcd

Methods inherited from interface edu.jas.structure.AbelianGroupElem

abs, isZERO, negate, signum, subtract, sum

Methods inherited from interface edu.jas.structure.MonoidElem

divide, inverse, isONE, isUnit, leftDivide, leftRemainder, multiply, power, quotientRemainder, remainder, rightDivide, rightRemainder, twosidedDivide, twosidedRemainder

Methods inherited from interface edu.jas.structure.Element

compareTo, copy, equals, factory, hashCode, toScript, toScriptFactory

Method Detail

scalarMultiply

A scalarMultiply(C s)

Scalar multiplication. Multiply this by a scalar.

Parameters:

s - scalar

Returns:

this * s.

linearCombination

A linearCombination(C a,
                    A b,
                    C s)

Linear combination.

Parameters:

a - scalar

b - algebra element

s - scalar

Returns:

a * b + this * s.

linearCombination

A linearCombination(A b,
                    C s)

Linear combination.

Parameters:

b - algebra element

s - scalar

Returns:

b + this * s.