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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

Expression templates are a well-known set of techniques for improving the efficiency of operator overloading-based forward mode automatic differentiation schemes in the C++ programming language by translating the differentiation from…

Mathematical Software · Computer Science 2012-05-21 Eric Phipps , Roger Pawlowski

In the last decade, Expression Templates (ET) have gained a reputation as an efficient performance optimization tool for C++ codes. This reputation builds on several ET-based linear algebra frameworks focused on combining both elegant and…

Performance · Computer Science 2012-08-15 Klaus Iglberger , Georg Hager , Jan Treibig , Ulrich Ruede

Despite the importance of sparse matrices in numerous fields of science, software implementations remain difficult to use for non-expert users, generally requiring the understanding of underlying details of the chosen sparse matrix storage…

Mathematical Software · Computer Science 2019-07-23 Conrad Sanderson , Ryan Curtin

Analyzing non-compilable C/C++ submodules without a resolved build environment remains a critical bottleneck for industrial software evolution. Traditional static analysis tools often fail in these scenarios due to their reliance on…

Software Engineering · Computer Science 2026-02-20 Jaid Monwar Chowdhury , Ahmad Farhan Shahriar Chowdhury , Humayra Binte Monwar , Mahmuda Naznin

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

Scientific programmers often turn to vendor-tuned Basic Linear Algebra Subprograms (BLAS) to obtain portable high performance. However, many numerical algorithms require several BLAS calls in sequence, and those successive calls result in…

Mathematical Software · Computer Science 2012-05-09 Geoffrey Belter , Elizabeth Jessup , Thomas Nelson , Boyana Norris , Jeremy G. Siek

This paper explores the relationship between C++ templates and partial evaluation. Templates were designed to support generic programming, but unintentionally provided the ability to perform compile-time computations and code generation.…

Programming Languages · Computer Science 2007-05-23 Todd L. Veldhuizen

This article discusses an efficient implementation of tensors of arbitrary rank by using some of the idioms introduced by the recently published C++ ISO Standard (C++11). With the aims at providing a basic building block for…

Mathematical Software · Computer Science 2014-06-02 Alejandro M. Aragón

Basic Linear Algebra Subprograms (BLAS) is a core library in scientific computing and machine learning. This paper presents FT-BLAS, a new implementation of BLAS routines that not only tolerates soft errors on the fly, but also provides…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-09 Yujia Zhai , Elisabeth Giem , Quan Fan , Kai Zhao , Jinyang Liu , Zizhong Chen

A major challenge in the deployment of scientific software solutions is the adaptation of research prototypes to production-grade code. While high-level languages like MATLAB are useful for rapid prototyping, they lack the resource…

Mathematical Software · Computer Science 2025-12-30 Conrad Sanderson , Ryan Curtin

Automatic differentiation is a set of techniques to efficiently and accurately compute the derivative of a function represented by a computer program. Existing C++ libraries for automatic differentiation (e.g. Adept, Stan Math Library),…

Mathematical Software · Computer Science 2021-02-09 James Yang

This article presents a new open-source C++ implementation to solve the SLAM problem, which is focused on genericity, versatility and high execution speed. It is based on an original object oriented architecture, that allows the combination…

KBLAS is a new open source high performance library that provides optimized kernels for a subset of Level 2 BLAS functionalities on CUDA-enabled GPUs. Since performance of dense matrix-vector multiplication is hindered by the overhead of…

Mathematical Software · Computer Science 2014-10-08 Ahmad Abdelfattah , David Keyes , Hatem Ltaief

Template metaprogramming is a popular technique for implementing compile time mechanisms for numerical computing. We demonstrate how expression templates can be used for compile time symbolic differentiation of algebraic expressions in C++…

Symbolic Computation · Computer Science 2017-05-05 Drosos Kourounis , Leonidas Gergidis , Michael Saunders , Andrea Walther , Olaf Schenk

We present DASH, a C++ template library that offers distributed data structures and parallel algorithms and implements a compiler-free PGAS (partitioned global address space) approach. DASH offers many productivity and performance features…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-06 Karl Fürlinger , Tobias Fuchs , Roger Kowalewski

The C++ programming language is not only a keystone of the high-performance-computing ecosystem but has proven to be a successful base for portable parallel-programming frameworks. As is well known, C++ programmers use templates to…

Programming Languages · Computer Science 2019-04-30 Hal Finkel , David Poliakoff , David F. Richards

Deep learning models rely on highly optimized tensor libraries for efficient inference on heterogeneous hardware. Current deep compilers typically predetermine layouts of tensors and then optimize loops of operators. However, such…

Machine Learning · Computer Science 2022-11-01 Zhiying Xu , Jiafan Xu , Hongding Peng , Wei Wang , Xiaoliang Wang , Haoran Wan , Haipeng Dai , Yixu Xu , Hao Cheng , Kun Wang , Guihai Chen

Generative AI technology based on Large Language Models (LLM) has been developed and applied to assist or automatically generate program codes. In this paper, we evaluate the capability of existing general LLMs for Basic Linear Algebra…

Machine Learning · Computer Science 2025-07-08 Daichi Mukunoki , Shun-ichiro Hayashi , Tetsuya Hoshino , Takahiro Katagiri

Robotic Template Library (RTL) is a set of tools for dealing with geometry and point cloud processing, especially in robotic applications. The software package covers basic objects such as vectors, line segments, quaternions, rigid…

Robotics · Computer Science 2021-11-02 Ales Jelinek , Adam Ligocki , Ludek Zalud
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