A survey of direct methods for sparse linear systems

TA Davis, S Rajamanickam, WM Sid-Lakhdar - Acta Numerica, 2016 - cambridge.org
Wilkinson defined a sparse matrix as one with enough zeros that it pays to take advantage of
them. 1 This informal yet practical definition captures the essence of the goal of direct …

OSQP: An operator splitting solver for quadratic programs

B Stellato, G Banjac, P Goulart, A Bemporad… - Mathematical …, 2020 - Springer
We present a general-purpose solver for convex quadratic programs based on the
alternating direction method of multipliers, employing a novel operator splitting technique …

A survey on convex optimization for guidance and control of vehicular systems

Z Wang - Annual Reviews in Control, 2024 - Elsevier
Guidance and control (G&C) technologies play a central role in the development and
operation of vehicular systems. The emergence of computational guidance and control …

ECOS: An SOCP solver for embedded systems

A Domahidi, E Chu, S Boyd - 2013 European control …, 2013 - ieeexplore.ieee.org
In this paper, we describe the embedded conic solver (ECOS), an interior-point solver for
second-order cone programming (SOCP) designed specifically for embedded applications …

Conic optimization via operator splitting and homogeneous self-dual embedding

B O'donoghue, E Chu, N Parikh, S Boyd - Journal of Optimization Theory …, 2016 - Springer
We introduce a first-order method for solving very large convex cone programs. The method
uses an operator splitting method, the alternating directions method of multipliers, to solve …

The University of Florida sparse matrix collection

TA Davis, Y Hu - ACM Transactions on Mathematical Software (TOMS), 2011 - dl.acm.org
We describe the University of Florida Sparse Matrix Collection, a large and actively growing
set of sparse matrices that arise in real applications. The Collection is widely used by the …

[BUCH][B] Handbook of finite fields

GL Mullen, D Panario - 2013 - api.taylorfrancis.com
The CRC Handbook of Finite Fields (hereafter referred to as the Handbook) is a reference
book for the theory and applications of finite fields. It is not intended to be an introductory …

[BUCH][B] Numerical methods for least squares problems

Å Björck - 2024 - SIAM
Excerpt More than 25 years have passed since the first edition of this book was published in
1996. Least squares and least-norm problems have become more significant with every …

SBA: A software package for generic sparse bundle adjustment

MIA Lourakis, AA Argyros - ACM Transactions on Mathematical Software …, 2009 - dl.acm.org
Bundle adjustment constitutes a large, nonlinear least-squares problem that is often solved
as the last step of feature-based structure and motion estimation computer vision algorithms …

Implementation of a large-scale optimal power flow solver based on semidefinite programming

DK Molzahn, JT Holzer, BC Lesieutre… - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
The application of semidefinite programming to the optimal power flow (OPF) problem has
recently attracted significant research interest. This paper provides advances in modeling …