3. Again, with same data of the first exercise, write an M-function: function (x,iter,err]-SOR(A.b.tol.kmax,omega) that implements the relaxation method. Notice verify that this function can be used also as Gauss-Seidel method when omega = 1
3. Again, with same data of the first exercise, write an M-function: function (x,iter,err]-SOR(A.b.tol.kmax,omega) that implements the relaxation method. Notice verify that this function can be used also as Gauss-Seidel method when omega = 1
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
Answer question 3
![Solve the following problems in Octave or Matlab
1. Write an M-function
function [x,iter,err]-Jacobi(A,b,tol,kmax)
Then, test it for the solution of the linear system Ar= b with 1 toplit([11 0 0 0 0]) and b chosen so that
the exact solution of the system is z = [2.2.2.2.2.2]T. The output parameters are: x the solution vector; iter the
number of iterations and err the relative errors among iterations.
2. Do the same for Gauss-Seidel
3. Again, with same data of the first exercise, write an M-function: function (x,iter,err]-SOR(A.b.tol.kmax,omega);
that implements the relaxation method. Notice verify that this function can be used also as Gauss-Seidel method
when omega = 1
4. Without executing any code, verify if the Jacobi method couverges if the case when, given r = [1.1,5.2.2.5.3).we
want to solve the system V'a = y, where = vander(r) and y = sin(x). The solution of the system, if exist, will
give the coefficients of the interpolating polynomial of degre 1 of the sinus function at the equispared points r.Which
method, direct or iterative, could be applicable](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb02ea9ab-2e6c-47ec-9bf7-dc8753f7299d%2F1bfb4b74-2d2b-4e8a-be07-9d6984ab36ed%2Fa8nz7ak_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve the following problems in Octave or Matlab
1. Write an M-function
function [x,iter,err]-Jacobi(A,b,tol,kmax)
Then, test it for the solution of the linear system Ar= b with 1 toplit([11 0 0 0 0]) and b chosen so that
the exact solution of the system is z = [2.2.2.2.2.2]T. The output parameters are: x the solution vector; iter the
number of iterations and err the relative errors among iterations.
2. Do the same for Gauss-Seidel
3. Again, with same data of the first exercise, write an M-function: function (x,iter,err]-SOR(A.b.tol.kmax,omega);
that implements the relaxation method. Notice verify that this function can be used also as Gauss-Seidel method
when omega = 1
4. Without executing any code, verify if the Jacobi method couverges if the case when, given r = [1.1,5.2.2.5.3).we
want to solve the system V'a = y, where = vander(r) and y = sin(x). The solution of the system, if exist, will
give the coefficients of the interpolating polynomial of degre 1 of the sinus function at the equispared points r.Which
method, direct or iterative, could be applicable
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