Package edu.jas.ps
Generic coefficients power series package.
This package
contains classes for univariate and multivariate power series arithmetic in
classes UnivPowerSeries
, UnivPowerSeriesRing
,
MultiVarPowerSeries
and MultiVarPowerSeriesRing
over coefficient rings which implement the RingElem
interface.
It contains also classes for reduction (with Mora's tangent cone algorithm)
and standard base computations.
Currently the term order is fixed to the order defined by the iterator over
exponent vectors ExpVectorIterator
.
Heinz Kredel
Last modified: Sat Sep 18 14:15:26 CEST 2010
$Id$
-
Interface Summary Interface Description MultiVarPowerSeriesMap<C extends RingElem<C>> Multivariate power series map interface.TaylorFunction<C extends RingElem<C>> Interface for functions capable for Taylor series expansion.UnivPowerSeriesMap<C extends RingElem<C>> Univariate power series map interface. -
Class Summary Class Description Coefficients<C extends RingElem<C>> Abstract class for generating functions for coefficients of power series.Examples Examples for univariate power series implementations.Examples.Odds<C extends RingElem<C>> Examples.Sum<C extends RingElem<C>> ExamplesMulti Examples for multivariate power series implementations.ExpVectorIterable Iterable for ExpVector, using total degree enumeration.ExpVectorIterator ExpVector iterator using CartesianProductLongIterator.Multiply<C extends RingElem<C>> Internal scalar multiplication functor.MultiVarCoefficients<C extends RingElem<C>> Abstract class for generating functions for coefficients of multivariate power series.MultiVarPowerSeries<C extends RingElem<C>> Multivariate power series implementation.MultiVarPowerSeriesRing<C extends RingElem<C>> Multivariate power series ring implementation.Negate<C extends RingElem<C>> Internal negation functor.OrderedPairlist<C extends RingElem<C>> Pair list management.Pair<C extends RingElem<C>> Serializable subclass to hold pairs of power series.PolynomialTaylorFunction<C extends RingElem<C>> Polynomial functions capable for Taylor series expansion.PSUtil Power series utilities.ReductionSeq<C extends RingElem<C>> Multivariate power series reduction sequential use algorithm.StandardBaseSeq<C extends RingElem<C>> Standard Base sequential algorithm.Subtract<C extends RingElem<C>> Internal subtraction functor.Sum<C extends RingElem<C>> Internal summation functor.TaylorFunctionAdapter<C extends RingElem<C>> Adapter for functions capable for Taylor series expansion.UnivPowerSeries<C extends RingElem<C>> Univariate power series implementation.UnivPowerSeriesRing<C extends RingElem<C>> Univariate power series ring implementation.