Welcome to the LAPACK Base DGTTRF repository! This project provides a robust implementation for computing the LU factorization of a real tridiagonal matrix A using elimination with partial pivoting ...

ABSTRACT: A block representation of the BLU factorization for block tridiagonal matrices is presented. Some properties on the factors obtained in the course of the factorization are studied. Simpler ...

Abstract: With the continuous improvement of power grid stability and reliability requirements, improving the efficiency and accuracy of power system simulation has become an important research topic.

Abstract: Acceleration of in-core LU decomposition by using multiple GPUs in parallel is presented in this paper. Memory limitations of GPUs are overcome by using block LU decomposition, where the ...

Is your feature request related to a problem? Please describe. For some problems that involve banded matrices, not only the solution of linear systems might be of interest, but also the factorisations ...

In this paper, it is first given as a necessary and sufficient condition that infinite matrices of a certain type have double eigenvalues. The computation of such double eigenvalues is enabled by the ...