理性户主转换

2018 20th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC) Pub Date : 2018-09-01 DOI:10.1109/SYNASC.2018.00022

Ana C. Camargos Couto, D. J. Jeffrey

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引用次数: 1

摘要

本文描述了一种生成整数矩阵的方法，当用Householder变换进行qr分解时，它只需要合理的计算并给出合理的结果。这样做的动机是出于教学目的:我们希望避免在线性代数问题集和考试中由于对包含平方根的表达式进行大量算术操作而产生的不必要的复杂性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Rational Householder Transformations

This paper describes a method for generating integer matrices which, when QR-decomposed through Householder transformations, require only rational computations and give rational results. The motivation is pedagogical: we want to avoid the unnecessary complications that arise from heavy arithmetic manipulations of expressions containing square-roots in linear algebra problem sets and exams.

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来源期刊

2018 20th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)

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