Jacobi method is an iterative algorithm for determining the solutions of a strictly diagonally dominant system of linear equations. Each diagonal element is solved for, and an approximate value is plugged in. The process is then iterated until it converges. Further details of the method can be found at Jacobi Method with a formal algorithm and examples of solving a system of 2/3 linear equations. This also includes a python implementation of the algorithm using numpy. But, in this assignment, you are required to write python implementation using list/nested list data structure without using any of the built-in python libraries for matrix operations. Write a python function Jacobi(A, b, x_init) where A is a diagonal dominant matrix, b is list of constants (right-hand side of the equations), and x_init (a list) is an initial guess to the solution. The function returns the solution as a list (each value of the list is rounded off to two decimal places). >>> Jacobi([[2, 1, 1], [0, 2, 1], [1, 1, 2]], [4, 5, 6], [ [0.2, 1.4, 2.2] >>> Jacobi([[5, 2, 1, 1], [2, 6, 2, 1], [1, 2, 7, 1], [1, [3.99, 2.95, 2.16, 0.97]

Jacobi method is an iterative algorithm for determining the solutions of a strictly diagonally dominant system of linear equations. Each diagonal element is solved for, and an approximate value is plugged in. The process is then iterated until it converges. Further details of the method can be found at Jacobi Method with a formal algorithm and examples of solving a system of 2/3 linear equations. This also includes a python implementation of the algorithm using numpy. But, in this assignment, you are required to write python implementation using list/nested list data structure without using any of the built-in python libraries for matrix operations. Write a python function Jacobi(A, b, x_init) where A is a diagonal dominant matrix, b is list of constants (right-hand side of the equations), and x_init (a list) is an initial guess to the solution. The function returns the solution as a list (each value of the list is rounded off to two decimal places). >>> Jacobi([[2, 1, 1], [0, 2, 1], [1, 1, 2]], [4, 5, 6], [ [0.2, 1.4, 2.2] >>> Jacobi([[5, 2, 1, 1], [2, 6, 2, 1], [1, 2, 7, 1], [1, [3.99, 2.95, 2.16, 0.97]

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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