## Tip 93. Trace of a cycle with help of taken up array

_{} _{}_{ }_{}_{ }_{}_{}

The
function with the name Root is showed and tested in the fig. 93. It
returns the root of the algebraic equation using the Newton method (tangent
method).

In
the fig. 93à the same program is rewrote so when you
call it all “history” of search the root is visible: the counter of the cycle n is added, but the second of the
loop body is changed to the assignment operator of the value to n-th element of
the vector V, which the
“history” of search the root keeps – x and y(x). Apart from
the current values of the argument and the analyzable function either number of
approximation step or the message “that’s enough” (if the condition of loop
termination is executed: y(x) ≈ 0) is written in the vector V.