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 = to plit:([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 Without executing any code, verify if the Jacobi method couverges if the case when, given [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 4 of the sinus function at the equispaced points r.Which method, direct or iterative, could be applicable

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 = to plit:([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 Without executing any code, verify if the Jacobi method couverges if the case when, given [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 4 of the sinus function at the equispaced points r.Which method, direct or iterative, could be applicable

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

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