edu.jas.structure
Interface ModulElem<M extends ModulElem<M,C>,C extends RingElem<C>>

Type Parameters:

M - module type

C - scalar type

All Superinterfaces:

AbelianGroupElem<M>, java.lang.Cloneable, java.lang.Comparable<M>, Element<M>, java.io.Serializable

All Known Implementing Classes:

GenVector

public interface ModulElem<M extends ModulElem<M,C>,C extends RingElem<C>>
extends AbelianGroupElem<M>

Module element interface. Defines scalar operations.

Author:

Heinz Kredel

Method Summary

M	linearCombination(C a, M b, C s) Linear combination.
M	linearCombination(M b, C s) Linear combination.
M	scalarMultiply(C s) Scalar multiplication.
M	scalarProduct(java.util.List<M> b) Scalar product.
C	scalarProduct(M b) Scalar product.

Methods inherited from interface edu.jas.structure.AbelianGroupElem

abs, isZERO, negate, signum, subtract, sum

Methods inherited from interface edu.jas.structure.Element

compareTo, equals, factory, hashCode, toScript, toScriptFactory

Method Detail

scalarMultiply

M scalarMultiply(C s)

Scalar multiplication. Multiply this by a scalar.

Parameters:

s - scalar

Returns:

this * s.

linearCombination

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

Linear combination.

Parameters:

a - scalar

b - module element

s - scalar

Returns:

a * b + this * s.

linearCombination

M linearCombination(M b,
                    C s)

Linear combination.

Parameters:

b - module element

s - scalar

Returns:

b + this * s.

scalarProduct

C scalarProduct(M b)

Scalar product. Multiply two vectors to become a scalar.

Parameters:

b - module element

Returns:

this * b, a scalar.

scalarProduct

M scalarProduct(java.util.List<M> b)

Scalar product. Multiply this vectors by list of vectors to become a vector.

Parameters:

b - list of module elements

Returns:

this * b, a list of scalars, a module element.