Homework Answers
The problem occured with the function f. MATLAB took f to be an array inside the while loop rather than as a function, hence this happened. The resolved code is given below:
Also note that as 0.5 is the answer, and you are checking from i = 3, hence in the first iteration p(i-1) remains the same and zero division error occurs in the next iteration. Hence try p(2) = 0.45.
Add Answer to:
can some one edit this code
p(1)=0.4
p(2)=0.5
e=0.00001
*secant metod
>> syms x; f=(1/x) -2;...
Matlab Regula Falsi Method A zero of f(x) = x^2 -4x-12.2 is known to exist on...
Matlab Regula Falsi Method
A zero of f(x) = x^2 -4x-12.2 is known to exist on the interval
[1.2 , 2.2 , 3.2,...9.2] and respective right endpoints x1 =[2.2
,3.2, 4.2....10.2], find the sub-interval in which the zero exists.
Set the left endpoint of this sub-interval =a and the right
endpoint=b
With tolerance of 10^-9, use the Regular Falsi method to compute
the root of (f) in [a,b]
User input is required at #####
CONTENTS Close Courses LMS Integration Documentation...
in matlab -Consider the equation f(x) = x-2-sin x = 0 on the interval x E [0.1,4 π] Use a plot to approximately locate the roots of f. To which roots do the fol- owing initial guesses converge wh...
in
matlab
-Consider the equation f(x) = x-2-sin x = 0 on the interval x E [0.1,4 π] Use a plot to approximately locate the roots of f. To which roots do the fol- owing initial guesses converge when using Function 4.3.1? Is the root obtained the one that is closest to that guess? )xo = 1.5, (b) x0 = 2, (c) x.-3.2, (d) xo = 4, (e) xo = 5, (f) xo = 27. Function 4.3.1 (newton) Newton's method...
Translate the following code to java with comments x0 = 1 # The initial guess f(x)...
Translate the following code to java with comments x0 = 1 # The initial guess f(x) = x^2 - 2 # The function whose root we are trying to find fprime(x) = 2 * x # The derivative of the function tolerance = 10^(-7) # 7 digit accuracy is desired epsilon = 10^(-14) # Do not divide by a number smaller than this maxIterations = 20 # Do not allow the iterations to continue indefinitely solutionFound = false # Have...
Use the Newton-Raphson method to find the root of f(x) = e-*(6 - 2x) - 1...
Use the Newton-Raphson method to find the root of f(x) = e-*(6 - 2x) - 1 Use an initial guess of xo = 1.2 and perform 3 iterations. For the N-R method: Xi+1 = x; - f(x;) f'(x;)
Please code in MatLab or Octave Output should match Sample Output in Second Picture Thank you...
Please code in MatLab or Octave
Output should match Sample Output in Second Picture
Thank you
5. In this problem we will investigate using the Secant Method to approximate a root of a function f(r). The Secant Method is an iterative approach that begins with initial guesses , and r2. Then, for n > 3, the Secant Method generates approximations of a root of f(z) as In-1-In-2 n=En-1-f (x,-1) f(Fn-1)-f(-2) any iteration, the absolute error in the approximation can be...
The first two parts should be solved by Matlab. This is from an intro to Numerical...
The first two parts should be solved by Matlab. This is from an
intro to Numerical Analysis Class and I have provided the Alog 3.2
in below. Please write the whole codes for me.
Alog3.2
% NEWTONS INTERPOLATORY DIVIDED-DIFFERENCE FORMULA ALGORITHM
3.2
% To obtain the divided-difference coefficients of the
% interpolatory polynomial P on the (n+1) distinct numbers
x(0),
% x(1), ..., x(n) for the function f:
% INPUT: numbers x(0), x(1), ..., x(n); values f(x(0)),
f(x(1)),
% ...,...
Please do this in Matlab. Not sure if you need this code: e cofunction [x, er,...
Please do this in Matlab.
Not sure if you need this code:
e cofunction [x, er, n] = FixedPoint(g, x1, maxtol, maxitr)
if nargin < 4, maxitr = 25; end
if nargin < 3, maxtol = 1e-3; end
k = 0 ;
er = 1;
x = x1;
while er >= maxtol && k < maxitr
k=k+1;
xold = x;
x=g(x);
er=abs((x-xold)/x);
fprintf('iter = %i, x = %e, er = %e ', k,x,er);
end
n=k;
if n ==...
(5 po)A p ia we n prie mer ae 2 7. . 1 1 do aors...
(5 po)A p ia we n prie mer ae 2 7. . 1 1 do aors a d tr e Te Tale the w o md d the t w 2 Fi the wing s Hof te 's i a wde th itaprie For ele, ,the s tpa-2s Th e--2 Therk 2 2 ATLAB d s aw whether the er p le tapr ) M U MATLAB t ces te sod-) fti to dt wtr d y ) ( pot)...
5.1.2 Open Methods - Newton-Raphson Method Xi+1= xi – FOTO Matlab Code Example:4 function mynewtraph (f,...
5.1.2 Open Methods - Newton-Raphson Method Xi+1= xi – FOTO Matlab Code Example:4 function mynewtraph (f, f1,x0,n) Xx0; for ilin x = x - f(x)/f1(x); disp (li if f(x) <0.01 f(x))) break end end end Matlab Code from Chapra function [root, ea, iter)=newtraph (func,dfunc, xr, es,maxit,varargin) newtraph: Newton-Raphson root location zeroes 8 [root, ea, iter)-newtraph (func, dfunc, xr, es,maxit,pl,p2, ...): $uses Newton-Raphson method to find the root of fune input: func- name of function 8dfunc = name of derivative of...
I need someone to fix my C Program Code Firstly I will post the Q and...
I need someone to fix my C Program Code
Firstly I will post the Q and the input and the outputs
Then the code
Secondly the code
===================================
#include <stdio.h>
#include <math.h>
int main()
{
double
a,b,c,d,l,x,x_0,x_1,x_mid,p_x,p_0,p_1,p_mid,E=1e-6;
int i1,i2;
printf("Enter a,b,c,d of ax^3+bx^2+cx+d=0: ");
scanf("%lf%lf%lf%lf",&a,&b,&c,&d);
x_0=-50;x_1=-50;x=-50;p_0=a*(pow(x_0,3))+b*(pow(x_0,2))+c*x_0+d;i1=0;i2=0;
do{
p_x=a*x*x*x+b*x*x+c*x+d;
l=p_x*p_0;
if(l<0){
x_1=x;}
i1=i1+1;x++;}
while(fabs(p_x)>=E &&
x<50);
if(fabs(p_x)<E){
printf("the polynominal has root...
Matlab Regula Falsi Method
A zero of f(x) = x^2 -4x-12.2 is known to exist on the interval
[1.2 , 2.2 , 3.2,...9.2] and respective right endpoints x1 =[2.2
,3.2, 4.2....10.2], find the sub-interval in which the zero exists.
Set the left endpoint of this sub-interval =a and the right
endpoint=b
With tolerance of 10^-9, use the Regular Falsi method to compute
the root of (f) in [a,b]
User input is required at #####
CONTENTS Close Courses LMS Integration Documentation...
in
matlab
-Consider the equation f(x) = x-2-sin x = 0 on the interval x E [0.1,4 π] Use a plot to approximately locate the roots of f. To which roots do the fol- owing initial guesses converge when using Function 4.3.1? Is the root obtained the one that is closest to that guess? )xo = 1.5, (b) x0 = 2, (c) x.-3.2, (d) xo = 4, (e) xo = 5, (f) xo = 27. Function 4.3.1 (newton) Newton's method...
Use the Newton-Raphson method to find the root of f(x) = e-*(6 - 2x) - 1 Use an initial guess of xo = 1.2 and perform 3 iterations. For the N-R method: Xi+1 = x; - f(x;) f'(x;)
Please code in MatLab or Octave
Output should match Sample Output in Second Picture
Thank you
5. In this problem we will investigate using the Secant Method to approximate a root of a function f(r). The Secant Method is an iterative approach that begins with initial guesses , and r2. Then, for n > 3, the Secant Method generates approximations of a root of f(z) as In-1-In-2 n=En-1-f (x,-1) f(Fn-1)-f(-2) any iteration, the absolute error in the approximation can be...
The first two parts should be solved by Matlab. This is from an
intro to Numerical Analysis Class and I have provided the Alog 3.2
in below. Please write the whole codes for me.
Alog3.2
% NEWTONS INTERPOLATORY DIVIDED-DIFFERENCE FORMULA ALGORITHM
3.2
% To obtain the divided-difference coefficients of the
% interpolatory polynomial P on the (n+1) distinct numbers
x(0),
% x(1), ..., x(n) for the function f:
% INPUT: numbers x(0), x(1), ..., x(n); values f(x(0)),
f(x(1)),
% ...,...
Please do this in Matlab.
Not sure if you need this code:
e cofunction [x, er, n] = FixedPoint(g, x1, maxtol, maxitr)
if nargin < 4, maxitr = 25; end
if nargin < 3, maxtol = 1e-3; end
k = 0 ;
er = 1;
x = x1;
while er >= maxtol && k < maxitr
k=k+1;
xold = x;
x=g(x);
er=abs((x-xold)/x);
fprintf('iter = %i, x = %e, er = %e ', k,x,er);
end
n=k;
if n ==...
(5 po)A p ia we n prie mer ae 2 7. . 1 1 do aors a d tr e Te Tale the w o md d the t w 2 Fi the wing s Hof te 's i a wde th itaprie For ele, ,the s tpa-2s Th e--2 Therk 2 2 ATLAB d s aw whether the er p le tapr ) M U MATLAB t ces te sod-) fti to dt wtr d y ) ( pot)...
5.1.2 Open Methods - Newton-Raphson Method Xi+1= xi – FOTO Matlab Code Example:4 function mynewtraph (f, f1,x0,n) Xx0; for ilin x = x - f(x)/f1(x); disp (li if f(x) <0.01 f(x))) break end end end Matlab Code from Chapra function [root, ea, iter)=newtraph (func,dfunc, xr, es,maxit,varargin) newtraph: Newton-Raphson root location zeroes 8 [root, ea, iter)-newtraph (func, dfunc, xr, es,maxit,pl,p2, ...): $uses Newton-Raphson method to find the root of fune input: func- name of function 8dfunc = name of derivative of...
I need someone to fix my C Program Code
Firstly I will post the Q and the input and the outputs
Then the code
Secondly the code
===================================
#include <stdio.h>
#include <math.h>
int main()
{
double
a,b,c,d,l,x,x_0,x_1,x_mid,p_x,p_0,p_1,p_mid,E=1e-6;
int i1,i2;
printf("Enter a,b,c,d of ax^3+bx^2+cx+d=0: ");
scanf("%lf%lf%lf%lf",&a,&b,&c,&d);
x_0=-50;x_1=-50;x=-50;p_0=a*(pow(x_0,3))+b*(pow(x_0,2))+c*x_0+d;i1=0;i2=0;
do{
p_x=a*x*x*x+b*x*x+c*x+d;
l=p_x*p_0;
if(l<0){
x_1=x;}
i1=i1+1;x++;}
while(fabs(p_x)>=E &&
x<50);
if(fabs(p_x)<E){
printf("the polynominal has root...
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