JSci.maths.categories
Class Hilb.LinearMap

java.lang.Object
  extended byJSci.maths.categories.Hilb.LinearMap
All Implemented Interfaces:
AbelianGroup.Member, BanachSpace.Member, Category.Morphism, Member, Module.Member, java.io.Serializable, VectorSpace.Member
Enclosing class:
Hilb

public class Hilb.LinearMap
extends java.lang.Object
implements BanachSpace.Member, Category.Morphism

See Also:
Serialized Form

Constructor Summary
Hilb.LinearMap(AbstractComplexMatrix m)
           
Hilb.LinearMap(Complex[][] array)
           
 
Method Summary
 AbelianGroup.Member add(AbelianGroup.Member m)
          The group composition law.
 java.lang.Object codomain()
          Returns the codomain.
 Category.Morphism compose(Category.Morphism m)
          Returns the composition of this morphism with another.
 int dimension()
           
 java.lang.Object domain()
          Returns the domain.
 java.lang.Object map(java.lang.Object v)
          Maps an object from the domain to the codomain.
 AbelianGroup.Member negate()
          Returns the inverse member.
 double norm()
          Returns the norm.
 VectorSpace.Member scalarDivide(Field.Member z)
          The scalar multiplication law with inverse.
 Module.Member scalarMultiply(Ring.Member z)
          The scalar multiplication law.
 AbelianGroup.Member subtract(AbelianGroup.Member m)
          The group composition law with inverse.
 
Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
 

Constructor Detail

Hilb.LinearMap

public Hilb.LinearMap(Complex[][] array)

Hilb.LinearMap

public Hilb.LinearMap(AbstractComplexMatrix m)
Method Detail

domain

public java.lang.Object domain()
Description copied from interface: Category.Morphism
Returns the domain.

Specified by:
domain in interface Category.Morphism

codomain

public java.lang.Object codomain()
Description copied from interface: Category.Morphism
Returns the codomain.

Specified by:
codomain in interface Category.Morphism

map

public java.lang.Object map(java.lang.Object v)
Description copied from interface: Category.Morphism
Maps an object from the domain to the codomain.

Specified by:
map in interface Category.Morphism

compose

public Category.Morphism compose(Category.Morphism m)
Description copied from interface: Category.Morphism
Returns the composition of this morphism with another.

Specified by:
compose in interface Category.Morphism

norm

public double norm()
Description copied from interface: BanachSpace.Member
Returns the norm.

Specified by:
norm in interface BanachSpace.Member

dimension

public int dimension()

add

public AbelianGroup.Member add(AbelianGroup.Member m)
Description copied from interface: AbelianGroup.Member
The group composition law.

Specified by:
add in interface AbelianGroup.Member
Parameters:
m - a group member

negate

public AbelianGroup.Member negate()
Description copied from interface: AbelianGroup.Member
Returns the inverse member.

Specified by:
negate in interface AbelianGroup.Member

subtract

public AbelianGroup.Member subtract(AbelianGroup.Member m)
Description copied from interface: AbelianGroup.Member
The group composition law with inverse.

Specified by:
subtract in interface AbelianGroup.Member
Parameters:
m - a group member

scalarMultiply

public Module.Member scalarMultiply(Ring.Member z)
Description copied from interface: Module.Member
The scalar multiplication law.

Specified by:
scalarMultiply in interface Module.Member
Parameters:
z - a ring member

scalarDivide

public VectorSpace.Member scalarDivide(Field.Member z)
Description copied from interface: VectorSpace.Member
The scalar multiplication law with inverse.

Specified by:
scalarDivide in interface VectorSpace.Member
Parameters:
z - a field member