UnivariateResultants.PolynomialRemainderSequence (rings 2.5.7 API)

java.lang.Object
- cc.redberry.rings.poly.univar.UnivariateResultants.APolynomialRemainderSequence<UnivariatePolynomial<E>>
- - cc.redberry.rings.poly.univar.UnivariateResultants.PolynomialRemainderSequence<E>

Enclosing class:

UnivariateResultants
```
public abstract static class UnivariateResultants.PolynomialRemainderSequence<E>
extends UnivariateResultants.APolynomialRemainderSequence<UnivariatePolynomial<E>>
```
Polynomial remainder sequence (PRS). It also implements abstract division rule, used to build PRS. At each step of Euclidean algorithm the polynomials qout, rem and coefficients alpha, beta are computed so that alpha_i r_(i - 2) = quot_(i - 1) * r_(i - 1) + beta_i * r_i where {r_i} is PRS.

Field Summary

Fields
Modifier and Type Field Description

List<E> alphas
alpha coefficients

List<E> betas
beta coefficients
- Fields inherited from class cc.redberry.rings.poly.univar.UnivariateResultants.APolynomialRemainderSequence
  a, b, quotients, remainders

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`List<E>`	`getSubresultants()`	Gives a list of scalar subresultant where i-th list element is i-th subresultant.
`E`	`resultant()`	Resultant of initial polynomials

Methods inherited from class cc.redberry.rings.poly.univar.UnivariateResultants.APolynomialRemainderSequence
gcd, lastRemainder, size

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Field Detail
  - alphas
```
public final List<E> alphas
```
    alpha coefficients
  - betas
```
public final List<E> betas
```
    beta coefficients
- Method Detail
  - getSubresultants
```
public final List<E> getSubresultants()
```
    Gives a list of scalar subresultant where i-th list element is i-th subresultant.
  - resultant
```
public final E resultant()
```
    Resultant of initial polynomials