Factorization of polynomials

Use the mouse wheel or two fingers (on touchscreens) to zoom in and out of the map.

Export map as:

Research this topic

Explore the main themes, entities and connections around Factorization of polynomials. Start with the topic map, then use the sections below for research and deeper semantic analysis.

Explore this topic

Start with a few of the strongest sections from the source topic. These are research directions, not a list of keywords you must use.

Formulation of the question

Polynomial rings Unique factorization domains Fundamental theorem of algebra Complex Root-finding algorithms

15 related topics

Modern methods

Zassenhaus Discriminant Hensel lifting Polynomial time Lenstra–Lenstra–Lovász lattice basis reduction algorithm

11 related topics

Classical methods

Integer factorization Univariate polynomials Rational root test Polynomial long division Cubic polynomial

9 related topics

Primitive part–content factorization

Up to Greatest common divisor Primitive polynomial Gauss Gauss's lemma

8 related topics

Topics to explore

Browse the full topic structure. Each item opens a new analysis centered on that subject.

Square-free factorization

Derivative Formal derivative
Multiple roots Multiplicity (mathematics)
Characteristic Characteristic (algebra)
Yun's algorithm Square-free polynomial
Polynomial factorization over finite fields#Square-free factorization Polynomial factorization over finite fields

Classical methods

Integer factorization
Univariate polynomials Univariate polynomial
Rational root test
Polynomial long division
Cubic polynomial Cubic function
Tuple
Polynomial interpolation
Polynomial division
Determined by three values Lagrange polynomial

Modern methods

Zassenhaus Hans Zassenhaus
Discriminant
Hensel lifting Hensel's lemma
Polynomial time
Lenstra–Lenstra–Lovász lattice basis reduction algorithm
Linear relation Integer relation algorithm
Quotient ring
Reduced ring
Random element
With high probability
Primitive element theorem

Numerical factorization

Floating point
Numerical computation of polynomial roots and multiplicities Polynomial root-finding algorithms
Infinitesimal

Bibliography

Fröhlich, A. Albrecht Fröhlich
Doi Doi (identifier)
ISSN ISSN (identifier)
S2CID S2CID (identifier)
ISBN ISBN (identifier)
Per Enflo
JSTOR JSTOR (identifier)
Springer-Verlag
MR MR (identifier)
CiteSeerX CiteSeerX (identifier)
Knuth, Donald E Donald E. Knuth
The Art of Computer Programming
Van der Waerden Bartel Leendert van der Waerden

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Nodes88

Edges87

Triples63

Avg. degree1.98

Density0.022727

Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Factorization of polynomials

Top relations

related to Bibliography · 61

Factorization of polynomials → ACM, Addison-Wesley, Algebra, Algebraic, Berlin, Bernard Beauzamy, BF01180640, Blum, Buchberger, Cite, CiteSeerX, Cohen, Collins, Computer Algebra, Computer Programming, CS1, Donald, Erich, Factorization, Frederick Ungar

related to Numerical factorization · 2

Factorization of polynomials → For, Numerical

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

polynomial factorization displaystyle coefficients polynomials factors factor integer field rational algorithm one number primitive finite square-free univariate irreducible degree algorithms

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Factorization of polynomials	related to Bibliography	Fröhlich	0.60	section
Factorization of polynomials	related to Bibliography	Shepherson	0.60	section
Factorization of polynomials	related to Bibliography	On	0.60	section
Factorization of polynomials	related to Bibliography	Mathematische Zeitschrift	0.60	section
Factorization of polynomials	related to Bibliography	BF01180640	0.60	section
Factorization of polynomials	related to Bibliography	ISSN	0.60	section
Factorization of polynomials	related to Bibliography	S2CID	0.60	section
Factorization of polynomials	related to Bibliography	Algebraic	0.60	section
Factorization of polynomials	related to Bibliography	Proceedings	0.60	section
Factorization of polynomials	related to Bibliography	ACM	0.60	section
Factorization of polynomials	related to Bibliography	Symbolic	0.60	section
Factorization of polynomials	related to Bibliography	SYMSAC	0.60	section

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

Connections between topic areas Semantic bridges

Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.

Min side: 3

Research this topic

Explore this topic

Formulation of the question

Modern methods

Classical methods

Primitive part–content factorization

Key facts & relationships

Topics to explore

Overview

Formulation of the question

Primitive part–content factorization

Square-free factorization

Classical methods

Modern methods

Numerical factorization

Bibliography

Advanced semantic analysis

Map overview Semantic statistics

Factorization of polynomials

How this topic connects Entity context

Factorization of polynomials

Top relations

Important terminology Word statistics

Important terminology

Entity relationships Subject–Predicate–Object triples

Related concept clusters Concept neighborhoods

Connections between topic areas Semantic bridges