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MATLAB has emerged as one of the languages most commonly used by scientists and engineers for technical computing, with ~1,000,000 users worldwide. The compute intensive nature of technical computing means that many MATLAB users have codes…

Astrophysics · Physics 2015-05-26 Nadya Bliss , Jeremy Kepner

We present a data-parallel software package for fitting Gaussian Approximation Potentials (GAPs) on multiple nodes using the ScaLAPACK library with MPI and OpenMP. Until now the maximum training set size for GAP models has been limited by…

Materials Science · Physics 2022-11-14 Sascha Klawohn , James R. Kermode , Albert P. Bartók

To exploit both memory locality and the full performance potential of highly tuned kernels, dense linear algebra libraries such as LAPACK commonly implement operations as blocked algorithms. However, to achieve next-to-optimal performance…

Mathematical Software · Computer Science 2022-04-08 Elmar Peise , Paolo Bientinesi

One of the barriers to the adoption of parallel computing is the inherent complexity of its programming. The Open Multi-Processing (OpenMP) Application Programming Interface (API) facilitates such implementations, providing high abstraction…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-21 Reinaldo Agostinho de Souza Filho , Diego V. Cirilo do Nascimento , Samuel Xavier-de-Souza

The availability of open-source molecular simulation software packages allows scientists and engineers to focus on running and analyzing simulations without having to write, parallelize, and validate their own simulation software. While…

Computational Physics · Physics 2025-10-03 Simon Gravelle , Cecilia M. S. Alvares , Jacob R. Gissinger , Axel Kohlmeyer

MultiPrecisionArrays.jl is a Julia package. This package provides data structures and solvers for several variants of iterative refinement. It will become much more useful when half precision (aka Float16) is fully supported in LAPACK/BLAS.…

Numerical Analysis · Mathematics 2025-08-11 C. T. Kelley

We present FooPar, an extension for highly efficient Parallel Computing in the multi-paradigm programming language Scala. Scala offers concise and clean syntax and integrates functional programming features. Our framework FooPar combines…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-14 Felix P. Hargreaves , Daniel Merkle

This report provides an introduction to the ensmallen numerical optimization library, as well as a deep dive into the technical details of how it works. The library provides a fast and flexible C++ framework for mathematical optimization of…

Mathematical Software · Computer Science 2023-11-16 Ryan R. Curtin , Marcus Edel , Rahul Ganesh Prabhu , Suryoday Basak , Zhihao Lou , Conrad Sanderson

The common exact diagonalization-based techniques to solving tight-binding models suffer from O(N^2) and O(N^3) scaling with respect to model size in memory and CPU time, hindering their applications in large tight-binding models. On the…

Computational Physics · Physics 2026-01-13 Yunhai Li , Zewen Wu , Miao Zhang , Junyi Wang , Shengjun Yuan

Linear algebra operations are widely used in scientific computing and machine learning applications. However, it is challenging for scientists and data analysts to run linear algebra at scales beyond a single machine. Traditional approaches…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-24 Vaishaal Shankar , Karl Krauth , Qifan Pu , Eric Jonas , Shivaram Venkataraman , Ion Stoica , Benjamin Recht , Jonathan Ragan-Kelley

Apache Spark is a popular open-source platform for large-scale data processing that is well-suited for iterative machine learning tasks. In this paper we present MLlib, Spark's open-source distributed machine learning library. MLlib…

Matrix multiplication is the foundation from much of the success from high performance technologies like deep learning, scientific simulations, and video graphics. High level programming languages like Python and R rely on highly optimized…

Performance · Computer Science 2025-09-08 Ethan Davis

This paper presents alpaqa, an open-source C++ implementation of an augmented Lagrangian method for nonconvex constrained numerical optimization, using the first-order PANOC algorithm as inner solver. The implementation is packaged as an…

Optimization and Control · Mathematics 2021-12-07 Pieter Pas , Mathijs Schuurmans , Panagiotis Patrinos

We describe CPMC-Lab, a Matlab program for the constrained-path and phaseless auxiliary-field Monte Carlo methods. These methods have allowed applications ranging from the study of strongly correlated models, such as the Hubbard model, to…

Strongly Correlated Electrons · Physics 2014-10-14 Huy Nguyen , Hao Shi , Jie Xu , Shiwei Zhang

MDL, Multimodal Deep Learning Library, is a deep learning framework that supports multiple models, and this document explains its philosophy and functionality. MDL runs on Linux, Mac, and Unix platforms. It depends on OpenCV.

Machine Learning · Computer Science 2016-04-13 Jian Jin

We present Matrix Distributed Processing, a C++ library for fast development of efficient parallel algorithms. MDP is based on MPI and consists of a collection of C++ classes and functions such as lattice, site and field. Once an algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Massimo Di Pierro

We present the Matlab toolbox MacaulayLab, which implements numerical linear algebra algorithms for solving multivariate polynomial systems and rectangular multiparameter eigenvalue problems. Its structure and functionality are the result…

Mathematical Software · Computer Science 2026-05-21 Christof Vermeersch , Bart De Moor

Dense linear algebra libraries, such as BLAS and LAPACK, provide a relevant collection of numerical tools for many scientific and engineering applications. While there exist high performance implementations of the BLAS (and LAPACK)…

Mathematical Software · Computer Science 2015-11-09 Sandra Catalán , José R. Herrero , Francisco D. Igual , Rafael Rodríguez-Sánchez , Enrique S. Quintana-Ortí

Static program analysis today takes an analytical approach which is quite suitable for a well-scoped system. Data- and control-flow is taken into account. Special cases such as pointers, procedures, and undefined behavior must be handled. A…

Software Engineering · Computer Science 2019-11-13 Marcel Böhme