ModulElem

Type Parameters:: M - module type; C - scalar type

All Superinterfaces:: AbelianGroupElem<M>, Comparable<M>, Element<M>, 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.

Method Summary

Modifier and Type

Method

Description

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(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, copy, equals, factory, hashCode, toScript, toScriptFactory

Method Details
- 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(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.