Concept

this method is combination of Gauss Newton Method and Steepest Descent Method:
solve

(𝐽𝑇𝑘𝐽𝑘+𝜇𝑘𝐼)𝑠𝑘=𝐽𝑇𝑘𝑟𝑘

for 𝑠𝑘 where 𝜇𝑘 is from Steepest Descent Method.

Cost

When 𝜇𝑘0 as iterating, this method behaved like Gauss Newton Method(quadratic convergence rate), otherwise it behaved like Steepest Descent Method(linear convergence rate).