Consider the system of equations d).Rewrite the system of equations (1) as a sin
ID: 3111475 • Letter: C
Question
Consider the system of equations
d).Rewrite the system of equations (1) as a single equation x = h (x) for a suitable function h. Show that h satisfies a sufficient condition for the corresponding fixed point iterative scheme to converge to a fixed point. How does one recover the value of y after finding an approximate solution x to the single equations?
e) Now rewrite your equation from (d) in the form p (x) = 0. Write down the formula for Newton's method for this function of one variable and explain why the formula makes sense.
L1 = g1(L1, 2) = sin(2).Explanation / Answer
The first part will have x1 and x2 ranging between -1 and 1 is because x1 and x2 are dependent variables x1 from first equation in 1 can only give values from -1 and to 1 for any value of x2 since it is a sine function similarly x2 can give values only between -1 and 1 for any value of x1 as it is a cosine function since both x1 and x2 are related to one another hence x1 and x2 lie between -1 and 1