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Because most optimisations to achieve higher computational performance eventually are limited, parallelism that scales is required. Parallelised hardware alone is not sufficient, but software that matches the architecture is required to…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-11 Oskar Schirmer

As computer systems become more and more complex, software and tools lag more and more behind. This is especially true for scientific software that often demands high performance, and thus needs to take advantage of parallelisms, memory…

Computers and Society · Computer Science 2013-09-11 Anne C. Elster

An algorithm is discussed for converting a class of recursive processes to a parallel system. It is argued that this algorithm can be superior to certain methods currently found in the literature for an important subset of problems. The…

Computational Physics · Physics 2009-11-10 W. R. Gibbs

If several independent algorithms for a computer-calculated quantity exist, then one can expect their results (which differ because of numerical errors) to follow approximately Gaussian distribution. The mean of this distribution,…

General Mathematics · Mathematics 2017-07-03 Andrej Liptaj

The problem of solving a system of polynomial equations is one of the most fundamental problems in applied mathematics. Among them, the problem of solving a system of binomial equations form a important subclass for which specialized…

Algebraic Geometry · Mathematics 2015-03-03 Tianran Chen , Dhagash Mehta

Exactly solving multi-objective integer programming (MOIP) problems is often a very time consuming process, especially for large and complex problems. Parallel computing has the potential to significantly reduce the time taken to solve such…

Optimization and Control · Mathematics 2018-11-02 William Pettersson , Melih Ozlen

Our problem is to accurately solve linear systems on a general purpose graphics processing unit with double double and quad double arithmetic. The linear systems originate from the application of Newton's method on polynomial systems.…

Mathematical Software · Computer Science 2013-01-15 Jan Verschelde , Genady Yoffe

The accelerating technological landscape and drive towards net-zero emission made the power system grow in scale and complexity. Serial computational approaches for grid planning and operation struggle to execute necessary calculations…

Systems and Control · Electrical Eng. & Systems 2022-07-07 Ahmed Al-Shafei , Hamidreza Zareipour , Yankai Cao

Current algorithms for large-scale industrial optimization problems typically face a trade-off: they either require exponential time to reach optimal solutions, or employ problem-specific heuristics. To overcome these limitations, we…

Quantum Physics · Physics 2025-10-16 Matteo Vandelli , Francesco Ferrari , Daniele Dragoni

Many techniques in program synthesis, superoptimization, and array programming require parallel rollouts of general-purpose programs. GPUs, while capable targets for domain-specific parallelism, are traditionally underutilized by such…

Programming Languages · Computer Science 2026-04-15 Breandan Considine

Classical optimization algorithms in machine learning often take a long time to compute when applied to a multi-dimensional problem and require a huge amount of CPU and GPU resource. Quantum parallelism has a potential to speed up machine…

Quantum Physics · Physics 2019-11-21 Venkat R. Dasari , Mee Seong Im , Lubjana Beshaj

In order to compensate for the higher cost of double double and quad double arithmetic when solving large polynomial systems, we investigate the application of NVIDIA Tesla K20C general purpose graphics processing unit. The focus on this…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-14 Jan Verschelde , Xiangcheng Yu

Parallel computation is widely employed in scientific researches, engineering activities and product development. Parallel program writing itself is not always a simple task depending on problems solved. Large-scale scientific computing,…

Computational Physics · Physics 2015-03-17 Shigeo Kawata

In the past, efforts were taken to improve the performance of a processor via frequency scaling. However, industry has reached the limits of increasing the frequency and therefore concurrent execution of instructions on multiple cores seems…

Hardware Architecture · Computer Science 2013-09-24 Irfan Uddin

In this paper we examine the key elements determining the best performance of computing by increasing the frequency of a single chip and to get the minimum latency during execution of the programs to achieve best possible output. It is not…

Performance · Computer Science 2014-06-03 Kamran Latif

Many important computational problems require utilization of high performance computing (HPC) systems that consist of multi-level structures combining higher and higher numbers of devices with various characteristics. Utilizing full power…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-21 Paweł Rościszewski

Bayesian optimization has emerged as a strong candidate tool for global optimization of functions with expensive evaluation costs. However, due to the dynamic nature of research in Bayesian approaches, and the evolution of computing…

Applications · Statistics 2018-08-24 Ran Rubin

The deep neural networks (DNNs) have been enormously successful in tasks that were hitherto in the human-only realm such as image recognition, and language translation. Owing to their success the DNNs are being explored for use in ever more…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-20 Sanket Tavarageri , Srinivas Sridharan , Bharat Kaul

A myriad of applications ranging from engineering and scientific simulations, image and signal processing as well as high-sensitive data retrieval demand high processing power reaching up to teraflops for their efficient execution. While a…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-02 Patrick Mukala

In this chapter, we show why parallel MATLAB is useful, provide a comparison of the different parallel MATLAB choices, and describe a number of applications in Signal and Image Processing: Audio Signal Processing, Synthetic Aperture Radar…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-25 Ashok Krishnamurthy , Siddharth Samsi , Vijay Gadepally