A Highly Efficient Computer Method for Solving Polynomial Equations Appearing in Engineering Problems

Algorithm 1

Algorithm of the simultaneous iterative method (MMN14M).

	Step 1: for given initial estimates , tolerance , and iterations p, set .
	Step 2: calculate
	and is the multiplicity of actual multiple roots .
	update ,
	,
	Step 3:
	Step 4: if or , then stop.
	Step 5: set and go to step 2.