Re: [Boost-users] [uBLAS] Matrix inversion

Subject: Re: [Boost-users] [uBLAS] Matrix inversion
From: Matwey V. Kornilov (matwey.kornilov_at_[hidden])
Date: 2011-03-02 15:07:15

A triangular matrix has zero elements below the diagonal (upper triangular) 
or above the diagonal (lower triangular). This way a nonsingular triangular 
matrix can be inverted in straightforward manner. LU decomposition allows to 
produce two triangular matrices which product is your source matrix. A 
matrix inversion can be implemented by means of these succeeding operations.

Ryan wrote:

> Matwey V. Kornilov wrote:
>> `solve' does matrix inversion for triangular matrices. LU decomposition
>> is also present in lu.hpp
>>
>>   
> What is the difference between a triangular matrix and the plain matrix?
> 
> Ryan