Nonlinear Least Squares Data Fitting
746 Appendix D. Nonlinear Least Squares Data Fitting This can be rewritten as ∇f(x1,x2)= e x2 t1 e 2 2 ex2 3 ex2t4 e 2t5 x1t1ex2t1 x1t2ex2 t2 x1t3ex2t3 x1t4ex2t4 x1t5ex2 5 x1ex2t1 −y1 x1ex2t2 −y2 x1ex2t3 −y3 x1ex2t4 −y4 x1ex2t5 −y5 sothat ∇f(x1,x2)=∇F(x)F(x).TheHessianmatrixis∇2f(x)=∇F(x)∇F(x)T+ m i=1 f i(x)∇ 2f i(x)= ex2 t1 e x2 2 …
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