USING MATHLAB

Newton-Raphson The Newton-Raphson method then iterates this to produce a sequence of points (Xi, Yi) that converge to the common root in the same way that Newton's method does. Our example: f(x, y) = x2 + xy 10 and g(x, y) = y + 3xy? 57. Use an initial guess of Xo = 1.5 and yo = 3.5. Calculate some partial derivatives = 2x+y not = x g = 3y2 09 = 1 +6xy Use the formula on the previous slide and plug in (xo, yo) to get x1 = 2.03603 Y1 = 2.84388 Slide contents from Chris Willet The Newton Raphson code that I have shared for Module 8 lecture apply a procedure "dx = J/f" to calculate the root for nonlinear system. You are asked to write a standard code to perform a multiplication of inverse matrix of J (nxn) to vector f(n x 1) utilizing for-loop. Your standard code should start from Juiny = inv(); Utilize that standard code into the newtmult.m by replacing the "dx = J/f" with your standard code. Save your modified function as newtmultmod.m Test your code by solving finding the roots for the following system of nonlinear equations: y = -x + x +0.75 y+5xy = x use initial guess of x=y=1.5. Newton-Raphson The Newton-Raphson method then iterates this to produce a sequence of points (Xi, Yi) that converge to the common root in the same way that Newton's method does. Our example: f(x, y) = x2 + xy 10 and g(x, y) = y + 3xy? 57. Use an initial guess of Xo = 1.5 and yo = 3.5. Calculate some partial derivatives = 2x+y not = x g = 3y2 09 = 1 +6xy Use the formula on the previous slide and plug in (xo, yo) to get x1 = 2.03603 Y1 = 2.84388 Slide contents from Chris Willet The Newton Raphson code that I have shared for Module 8 lecture apply a procedure "dx = J/f" to calculate the root for nonlinear system. You are asked to write a standard code to perform a multiplication of inverse matrix of J (nxn) to vector f(n x 1) utilizing for-loop. Your standard code should start from Juiny = inv(); Utilize that standard code into the newtmult.m by replacing the "dx = J/f" with your standard code. Save your modified function as newtmultmod.m Test your code by solving finding the roots for the following system of nonlinear equations: y = -x + x +0.75 y+5xy = x use initial guess of x=y=1.5