##  [Triangularization](/index.php/triangularization) 

  ##  [Triangularization](https://algebra.quantumdictionary.io/triangularization-0) 

  

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

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The process of finding a basis in which a linear operator or matrix is represented by an upper-triangular matrix; the diagonal entries then list eigenvalues (counted with algebraic multiplicity) while entries above the diagonal encode generalized-eigenspace interactions.