用于高性能计算的任意秩张量的C++11实现
A C++11 implementation of arbitrary-rank tensors for high-performance computing
摘要：
本文通过使用最近发布的C++ ISO标准（C++11）中介绍的一些习惯用法，讨论了任意秩张量的有效实现。为了提供高性能计算的基本构建块，我们精心制作了一个Array类模板，从中可以创建向量、矩阵甚至更高阶的张量。还围绕数组类模板构建了一个表达式模板工具，以提供方便的数学语法。因此，通过使用模板，在处理代数对象及其操作时，在C++语言中添加了一个额外的高级层，而不会影响性能。该实现在CPU和GPU上进行了测试。
英文摘要：
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 high-performance computing, a single Array class template is carefully crafted, from which vectors, matrices, and even higher-order tensors can be created. An expression template facility is also built around the array class template to provide convenient mathematical syntax. As a result, by using templates, an extra high-level layer is added to the C++ language when dealing with algebraic objects and their operations, without compromising performance. The implementation is tested running on both CPU and GPU.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
