##  [Numerical Polynomial Homotopy Continuation](/numerical-polynomial-homotopy-continuation) 

  ##  [Numerical Polynomial Homotopy Continuation](https://algebra.quantumdictionary.io/numerical-polynomial-homotopy-continuation-0) 

  

 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A numerical method for solving systems of polynomial equations by constructing a homotopy between a start system with known solutions and the target system, then tracking solution paths in the complex domain with predictor–corrector schemes to approximate all isolated roots.