Iterative algorithm based on the morbid equation
Huang Delun, Shi Jingjian, Lian Qi, Sun Li-jun · Cehui kexue · 2013
In this paper,through analyzing the causes of Ill-posed problems of normal equation which has effect on values of parameters,and combining with iterative algorithm principle of the spectrum correction,it discussed to expand range of the improved algorithm.In theory,when correction factor is greater than zero,two norm of the inverse matrix of the improved algorithm with the increasing iteration times is close to zero,so it could get close to the true value parameters of valuations.After analysis,it was proved that the iterative speed depends on the correct factor r and initial iteration value.The result showed that the iterative speed and correction factors keep the change rule of linear values at the same time,and the iteration speed is influenced by the different initial values.