数据拟合线性最小二乘法及其应用(householder变换)(2)

数据拟合线性最小二乘法及其应用(householder变换)

目录

摘要 .................................................................................................................................... 2

ABSTRACT....................................................................................................................... 3

第一章引言 ........................................................................................................................ 4

第二章最小二乘法 ............................................................................................................ 4

2.1最小二乘拟合 ........................................................................................................... 4

2.2 线性最小二乘拟合 .................................................................................................. 5

2.3 小结 ......................................................................................................................... 6

第三章快速算法及基本原理 ............................................................................................ 6

3.1 H-变换 ..................................................................................................................... 6

3.2 QR分解..................................................................................................................... 9

3.3 算法 ........................................................................................................................ 10

第四章最小二乘法的正交化方法 .................................................................................. 12

第五章 MATLAB代码实现 .......................................................................................... 13

5.1 HOUSEHOLDER变换 ................................................................................................ 13

5.2 用HOUSEHOLDER变换来做QR分解.................................................................... 14

5.3 QR分解 ................................................................................................................ 15

第六章应用 ...................................................................................................................... 16

第七章总结 ...................................................................................................................... 17

谢辞 .................................................................................................................................. 18

参考文献 .......................................................................................................................... 19

注释 .................................................................................................................................. 20

附录 .................................................................................................................................. 21