edu.jas.vector

Class BasicLinAlg<C extends RingElem<C>>

java.lang.Object

edu.jas.vector.BasicLinAlg<C>

Type Parameters:

C - coefficient type

All Implemented Interfaces:

java.io.Serializable

public class BasicLinAlg<C extends RingElem<C>>
extends java.lang.Object
implements java.io.Serializable

Basic linear algebra methods. Implements Basic linear algebra computations and tests. Note: will use wrong method dispatch in JRE when used with GenSolvablePolynomial.

See Also:

Serialized Form

Constructor Summary

Constructors

Constructor and Description
BasicLinAlg() Constructor.

Method Summary

Modifier and Type	Method and Description
boolean	isZero(java.util.List<C> a) Test vector of zero ring elements.
java.util.List<C>	leftScalarProduct(java.util.List<C> G, java.util.List<java.util.List<C>> F) Scalar product of vectors and a matrix of ring elements.
java.util.List<C>	rightScalarProduct(java.util.List<C> G, java.util.List<java.util.List<C>> F) Scalar product of vectors and a matrix of ring elements.
java.util.List<C>	scalarProduct(C p, java.util.List<C> F) Scalar product of ring element with vector of ring elements.
java.util.List<C>	scalarProduct(java.util.List<C> F, C p) Scalar product of vector of ring element with ring element.
C	scalarProduct(java.util.List<C> G, java.util.List<C> F) Scalar product of vectors of ring elements.
java.util.List<C>	vectorAdd(java.util.List<C> a, java.util.List<C> b) Addition of vectors of ring elements.

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

BasicLinAlg

public BasicLinAlg()

Constructor.

Method Detail

scalarProduct

public C scalarProduct(java.util.List<C> G,
                       java.util.List<C> F)

Scalar product of vectors of ring elements.

Parameters:

G - a ring element list.

F - a ring element list.

Returns:

the scalar product of G and F.

leftScalarProduct

public java.util.List<C> leftScalarProduct(java.util.List<C> G,
                                           java.util.List<java.util.List<C>> F)

Scalar product of vectors and a matrix of ring elements.

Parameters:

G - a ring element list.

F - a list of ring element lists.

Returns:

the scalar product of G and F.

rightScalarProduct

public java.util.List<C> rightScalarProduct(java.util.List<C> G,
                                            java.util.List<java.util.List<C>> F)

Scalar product of vectors and a matrix of ring elements.

Parameters:

G - a ring element list.

F - a list of ring element lists.

Returns:

the right scalar product of G and F.

vectorAdd

public java.util.List<C> vectorAdd(java.util.List<C> a,
                                   java.util.List<C> b)

Addition of vectors of ring elements.

Parameters:

a - a ring element list.

b - a ring element list.

Returns:

a+b, the vector sum of a and b.

isZero

public boolean isZero(java.util.List<C> a)

Test vector of zero ring elements.

Parameters:

a - a ring element list.

Returns:

true, if all polynomial in a are zero, else false.

scalarProduct

public java.util.List<C> scalarProduct(C p,
                                       java.util.List<C> F)

Scalar product of ring element with vector of ring elements.

Parameters:

p - a ring element.

F - a ring element list.

Returns:

the scalar product of p and F.

scalarProduct

public java.util.List<C> scalarProduct(java.util.List<C> F,
                                       C p)

Scalar product of vector of ring element with ring element.

Parameters:

F - a ring element list.

p - a ring element.

Returns:

the scalar product of F and p.