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4-Least Squares

1、Normal Equation

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2、Fitting data by least squares

image2 2.1 General linear least square. image3 2.2 Least square fit polynomial image4

3、Data linearization.

3.1 Exponential mdoel

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4、Gram-Schmidt orthogonization. 格莱姆-施密特正交化

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5、QR factorization. image7 1. QR factorization by applying Gram-Schmidt orthogonalization image8

2) Apply Householder reflectors to find the full QR factorization image9

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3)Use the QR factorization from Exercise 2, 4, or 6 to solve the least squares problem image12

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7、Nonlinear Least Squares