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浅析矩阵QR分解的几种方法

Methods of Matrix Decomposition

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矩阵是一种重要的数学工具,广泛应用于统计分析等应用数学学科中,特别是矩阵分解,在矩阵计算中扮演着相当重要的角色,将大型矩阵分解成简单矩阵的乘积,可大大降低计算量和使用难度.对Gram-Schmidt正交化、Householder变换及Givens变换进行矩阵分解的几种方法进行了讨论分析,并给出了具体算例.
Matrix is an important mathematical tool,which is widely used in applied mathematical disciplines such as statistical analysis,especially matrix decomposition,which plays a very important role in matrix calculation.De-composing a large matrix into a product of simple matrices greatly reduces the calculation volume and difficulty.This paper discusses the decomposition method under orthogonalization,transformation and transformation,and nu-merical examples are presented.

decompositionGram-Schmidt orthogonalizationHouseholder transformationGivens transform

张海艳

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陇东学院,甘肃 庆阳 745000

分解 Gram-Schmidt正交化 Householder变换 Givens变换

甘肃省高等教育教学成果培育项目陇东学院2021年度教育教学改革项目

2023-1552021-11

2024

陇东学院学报
陇东学院

陇东学院学报

影响因子:0.204
ISSN:1674-1730
年,卷(期):2024.35(2)
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