Anymatrix: an extensible MATLAB matrix collection

NJ Higham, M Mikaitis - Numerical Algorithms, 2022‏ - Springer
Anymatrix is a MATLAB toolbox that provides an extensible collection of matrices with the
ability to search the collection by matrix properties. Each matrix is implemented as a …

High-performance SVD partial spectrum computation

D Keyes, H Ltaief, Y Nakatsukasa… - Proceedings of the …, 2023‏ - dl.acm.org
We introduce a new singular value decomposition (SVD) solver based on the QR-based
Dynamically Weighted Halley (QDWH) algorithm for computing the partial spectrum SVD …

Matrices with tunable infinity-norm condition number and no need for pivoting in LU factorization

M Fasi, NJ Higham - SIAM Journal on Matrix Analysis and Applications, 2021‏ - SIAM
We propose a two-parameter family of nonsymmetric dense n*n matrices A(α,β) for which LU
factorization without pivoting is numerically stable, and we show how to choose α and β to …

Strong Scaling of the SVD Algorithm for HPC Science: A PETSc-Based Approach

P Ferrero-Roza, JA Moríñigo… - 2023 Winter Simulation …, 2023‏ - ieeexplore.ieee.org
The Singular Value Decomposition (SVD) algorithm is ubiquitous in many fields of science
and technology. It may be used embedded into other advanced algorithms, solvers or data …

[HTML][HTML] The dynamical functional particle method for multi-term linear matrix equations

A Dmytryshyn, M Fasi, M Gulliksson - Applied Mathematics and …, 2022‏ - Elsevier
Recent years have seen a renewal of interest in multi-term linear matrix equations, as these
have come to play a role in a number of important applications. Here, we consider the …

Analysis of the SVD Scaling on Large Sparse Matrices

M De Castro-Sánchez, JA Moríñigo… - 2024 Winter …, 2024‏ - ieeexplore.ieee.org
There has been great interest in the Singular Value Decomposition (SVD) algorithm over the
last years because of its wide applicability in multiple fields of science and engineering, both …

[PDF][PDF] Bibliography njhigham. bib

NJ Higham - 2024‏ - hammarling.com
Bibliography njhigham.bib Page 1 Bibliography njhigham.bib Nicholas J. Higham ∗ January 1,
2024 Blue denotes clickable links. References [1] Ahmad Abdelfattah, Hartwig Anzt, Alan Ayala …

Anymatrix: An Extensible MATLAB Matrix Collection. Users' Guide

NJ Higham, M Mikaitis - 2021‏ - eprints.maths.manchester.ac.uk
This guide is for users and developers of the Anymatrix MATLAB toolbox, which provides an
extensible collection of matrices organized into groups and sets and the ability to search for …

[PDF][PDF] A Bibliography of Publications of Nicholas John Higham

NJ Higham - 2001‏ - 155.101.98.136
Sven Hammarling, Nicholas J. Higham, Jakub Kurzak, Piotr Luszczek, Stanimire Tomov, and
Mawussi Zounon. A set of batched basic linear algebra subprograms and LAPACK routines …