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The main purpose of this paper is to propose six programs in C++ for matrix computations and solving recurrent equations systems with entries in min plus algebra.

Rings and Algebras · Mathematics 2013-06-25 Mihai Ivan , Gheorghe Ivan

The article deals with a kind of recursive function templates in C++, where the recursion is realized corresponding template parameters to achieve better computational performance. Some specialization of these template functions ends the…

Mathematical Software · Computer Science 2007-05-23 Volodymyr Myrnyy

The following four classes of computational problems are equivalent: solving matrix games, solving linear programs, best $l^{\infty}$ linear approximation, best $l^1$ linear approximation.

Computer Science and Game Theory · Computer Science 2007-05-23 L. N. Vaserstein

We present a novel class of methods to compute functions of matrices or their action on vectors that are suitable for parallel programming. Solving appropriate simple linear systems of equations in parallel (or computing the inverse of…

Numerical Analysis · Mathematics 2022-10-10 Sergio Blanes

We present a set of programming tools (classes and functions written in C++ and based on Message Passing Interface) for fast development of generic parallel (and non-parallel) lattice simulations. They are collectively called MDP 1.2. These…

High Energy Physics - Lattice · Physics 2009-10-31 Massimo Di Pierro

We describe BayesMix, a C++ library for MCMC posterior simulation for general Bayesian mixture models. The goal of BayesMix is to provide a self-contained ecosystem to perform inference for mixture models to computer scientists,…

Computation · Statistics 2022-05-18 Mario Beraha , Bruno Guindani , Matteo Gianella , Alessandra Guglielmi

The concept of a universal algorithm is discussed. Examples of this kind of algorithms are presented. Software implementations of such algorithms in C++ type languages are discussed together with means that provide for computations with an…

Numerical Analysis · Mathematics 2025-10-20 Grigori Litvinov , Elena Maslova

This report is devoted to some C++ codes implementing the implicit LU class algorithms for solving linear determined, and undetermined systems with $n$ variables and $m$ equations. A main program used in part of the numerical test is given…

Numerical Analysis · Mathematics 2025-10-20 Xing Li , Ying Liu , Antonino Del Popolo

Modular integer arithmetic occurs in many algorithms for computer algebra, cryptography, and error correcting codes. Although recent microprocessors typically offer a wide range of highly optimized arithmetic functions, modular integer…

Mathematical Software · Computer Science 2014-07-15 Joris van der Hoeven , Grégoire Lecerf , Guillaume Quintin

When implementing functionality which requires sparse matrices, there are numerous storage formats to choose from, each with advantages and disadvantages. To achieve good performance, several formats may need to be used in one program,…

Mathematical Software · Computer Science 2019-10-22 Conrad Sanderson , Ryan Curtin

A study of the existing linear algebra libraries that you can use from C++

Mathematical Software · Computer Science 2011-03-17 Claire Mouton

In this paper we introduce an open-source software package written in C++ for efficiently finding solutions to quadratic programming problems with linear complementarity constraints. These problems arise in a wide range of applications in…

Optimization and Control · Mathematics 2025-02-18 Jonas Hall , Armin Nurkanovic , Florian Messerer , Moritz Diehl

We present a new Monte Carlo tool that computes full tree-level matrix elements in high-energy physics. The program accepts user-defined models and has no restrictions on the process multiplicity. To achieve acceptable performance, CAMORRA…

High Energy Physics - Phenomenology · Physics 2010-11-23 Ronald Kleiss , Gijs van den Oord

The paper introduces a novel representation for Generalized Planning (GP) problems, and their solutions, as C++ programs. Our C++ representation allows to formally proving the termination of generalized plans, and to specifying their…

Artificial Intelligence · Computer Science 2022-06-30 Javier Segovia-Aguas , Yolanda E-Martín , Sergio Jiménez

A C++ software design is presented that can be used to interpolate data in any number of dimensions. The design is based on a combination of templates of functional collections of elements and so-called type lists. The design allows for…

Mathematical Software · Computer Science 2019-07-08 Maarten de Jong

Testing is one of the most indispensable tasks in software engineering. The role of testing in software development has grown significantly because testing is able to reveal defects in the code in an early stage of development. Many unit…

Software Engineering · Computer Science 2010-12-07 Norbert Pataki

We present the C++ program library mr that allows us to reliably calculate the values of the running parameters in the Standard Model at high energy scales. The initial conditions are obtained by relating the running parameters in the…

High Energy Physics - Phenomenology · Physics 2016-12-05 Bernd A. Kniehl , Andrey F. Pikelner , Oleg L. Veretin

We present our public-domain software for the following tasks in sparse (or toric) elimination theory, given a well-constrained polynomial system. First, C code for computing the mixed volume of the system. Second, Maple code for defining…

Mathematical Software · Computer Science 2014-03-06 Ioannis Z. Emiris

Let us extend the pair of operations (max,+) over real numbers to matrices in the same way as in conventional linear algebra. We study integer images of max-plus linear mappings. The question whether Ax (in the max-plus algebra) is an…

Commutative Algebra · Mathematics 2017-09-27 Peter Butkovic

The aim of this work is to define and implement an extended C++ language to support the SIMD programming paradigm. The C++ programming language has been extended to express all the potentiality of an abstract SIMD machine consisting of a…

Programming Languages · Computer Science 2007-05-23 Alessandro Lonardo , Emanuele Panizzi , Benedetto Proietti
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