An algorithm is presented to compute a triangular factorization and the inertia of a symmetric matrix. The algorithm is stable even when the matrix is not positive definite and is as fast as Choleski. Programs for solving associated system of linear equations are included
Over any field F every square matrix A can be factored into the product of two symmetric matrices as...
This thesis focuses on the Cholesky-related factorizations of symmetric matrices and their applicati...
Given a symmetric and not necessarily positive definite matrix A, a modified Cholesky algorithm comp...
Several decompositions of symmetric matrices for calculating inertia and solving systems of linear e...
International audienceWe present a novel recursive algorithm for reducing a symmetric matrix to a tr...
In this paper we present a new parallel algorithm for computing the Cholesky decomposition (LL^T) of...
An algorithm for computing the antitriangular factorization of symmetric matrices, relying only on o...
Indefinite symmetric matrices occur in many applications, such as optimization, least squares proble...
For the solution of symmetric linear systems, the classical Cholesky method has proved to be difficu...
AbstractWe present a method for factoring a given matrix M into a short product of sparse matrices, ...
This note concerns the computation of the Cholesky factorization of a symmetric and positive defini...
This article, aimed at a general audience of computational scientists, surveys the Cholesky factoriz...
AbstractGeneral conditions where a symmetric matrix is factorable by Cholesky decomposition are desc...
We present a method to factor a given matrix M into a short product of sparse matrices, provided M h...
AbstractThis paper gives a classification for the triangular factorization of square matrices. These...
Over any field F every square matrix A can be factored into the product of two symmetric matrices as...
This thesis focuses on the Cholesky-related factorizations of symmetric matrices and their applicati...
Given a symmetric and not necessarily positive definite matrix A, a modified Cholesky algorithm comp...
Several decompositions of symmetric matrices for calculating inertia and solving systems of linear e...
International audienceWe present a novel recursive algorithm for reducing a symmetric matrix to a tr...
In this paper we present a new parallel algorithm for computing the Cholesky decomposition (LL^T) of...
An algorithm for computing the antitriangular factorization of symmetric matrices, relying only on o...
Indefinite symmetric matrices occur in many applications, such as optimization, least squares proble...
For the solution of symmetric linear systems, the classical Cholesky method has proved to be difficu...
AbstractWe present a method for factoring a given matrix M into a short product of sparse matrices, ...
This note concerns the computation of the Cholesky factorization of a symmetric and positive defini...
This article, aimed at a general audience of computational scientists, surveys the Cholesky factoriz...
AbstractGeneral conditions where a symmetric matrix is factorable by Cholesky decomposition are desc...
We present a method to factor a given matrix M into a short product of sparse matrices, provided M h...
AbstractThis paper gives a classification for the triangular factorization of square matrices. These...
Over any field F every square matrix A can be factored into the product of two symmetric matrices as...
This thesis focuses on the Cholesky-related factorizations of symmetric matrices and their applicati...
Given a symmetric and not necessarily positive definite matrix A, a modified Cholesky algorithm comp...