A New Modified Levenberg–Marquardt Method for Systems of Nonlinear Equations

Algorithm 1

The new LM method.

	Step 1. Given , , , ,, .
	Step 2. If , stop. Compute (5) to obtain the LM parameter. Solve the equation (2) to obtain .
	Step 3. Compute . Set
	Step 4. Update as
	Set and go to Step 2.