Abstract: This paper introduces hybrid LU-QR algorithms for solving dense linear systems of the form Ax = b. Throughout a matrix factorization, these algorithms dynamically alternate LU with local ...

We present optimal parallel QR factorization algorithms with reduced communication overhead. QR factorization is widely applied to solve various problems in numerical linear algebra. Our focus is on ...

SubtreeLU is a high-performance parallel sparse LU factorization algorithm for SPICE-like circuit simulation. It is designed to be used in circuit simulation software, particularly for solving large ...

A distributed-memory parallel implementation of the sparsified QR factorization algorithm using the TaskTorrent runtime system. This repository provides efficient QR factorization for large sparse ...