对于一般情况，矩阵分解问题是完整的

Proceedings [1990] 31st Annual Symposium on Foundations of Computer Science Pub Date : 1990-10-22 DOI:10.1109/FSCS.1990.89603

Y. Gurevich

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引用次数: 33

摘要

给出了第一个代数平均情形完备问题。注意的焦点是模群，即行列式为1的二乘二整数矩阵的乘法群SL/sub 2/(Z)。在本研究中，默认情况下，矩阵是模群的元素。这个问题可以说是迄今为止最简单的自然平均情况完全问题

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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Matrix decomposition problem is complete for the average case

The first algebraic average-case complete problem is presented. The focus of attention is the modular group, i.e., the multiplicative group SL/sub 2/(Z) of two-by-two integer matrices of determinant 1. By default, in this study matrices are elements of the modular group. The problem is arguably the simplest natural average-case complete problem to date.<>

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Proceedings [1990] 31st Annual Symposium on Foundations of Computer Science

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