func main() { fmt.Println(sqrt(3)) } func sqrt(x float64)float64{ z := x for i := 0; i < 10 ; i++ { z = z - (z*z -x)/(2*z) } return z }
Function as a simple way to exercise and cycling, to achieve prescribing function by Newton's method.
In this example, Newton's method is by selecting an initial point z and repeat this procedure seeking Sqrt(x)
approximation:
To do this, we need to be repeated only 10 times was calculated and the effects of different values (1,2,3, ......) how the results of successive approximation. Then, modified cycling conditions, such that when the change is stopped when the value (or a very small change) to exit the loop. Whether observed changes in the number of iterations. Results and [[http://golang.org/pkg/math/#Sqrt][math.Sqrt] approaching it?
Tip: define and initialize a floating-point value, or to provide it using a floating point conversion syntax: