Exercise 1.9.3 The MATLAB m-file shown below produces matrices of discretized convection-diffusion operators of various sizes.function C = condif (n,c)* C is a square convection-diffusion matrix% of order n^2. The user must supply n and% the convection coefficients c(1:2).I = speye (n):sparse (1:n-1,2;n,1,n,n);N =(1-c (1)) *N - (1+c (1)) *N';(1-c (2)) *NF1 = 2*IF2 = 2*I(1+c (2)) *N' ;C = kron (I,F1) + kron (F2, I); [Q2] (Section 1.6/1.9: Sparse Systems; Example 1.9.1) In this exercise we will walk throughthe exact steps of Example 1.9.1 using MATLAB.(a) Create the file condif.m that is exactly the MATLAB code given in Exercise 1.9.3,on the bottom of page 109 in [1].(b) Create an 81 × 81 matrix A in MATLAB via: A = condif(9,[0.2 5])(c) Compute the LU decomposition of A via: [L,U,P](d) View the nonzero structure of A and the added factors L+ U using spy ().(e) Reorder the columns of A using MATLAB's builtin column-wise minimum degreeroutine colamd () to produce A. Refactor the reordered Å, and then look at themodified nonzero structure of the reordered A and its added factors L+U.lu (A)

a) Please find attached code: function C = condif(n,c)% C is a square convection diffusion matrix%…

Answered: function C = condif (n,c) * c is a…

function C = condif (n,c) * c is a square convection-diffusion matrix of order n^2. The user must supply n and % the convection coefficients c(1:2). I = speye (n): N = sparse (1:n-1,2:n,1,n, n); N%3D

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

See similar textbooks

Similar questions

Type in Latex **Problem**. Let $$A = \begin{bmatrix} .5 & .2 & .3 \\ .3 & .8 & .3 \\ .2 & 0 & .4 \end{bmatrix}.$$ This matrix is an example of a **stochastic matrix**: its column sums are all equal to 1. The vectors $$\mathbf{v}_1 = \begin{bmatrix} .3 \\ .6 \\ .1 \end{bmatrix}, \mathbf{v}_2 = \begin{bmatrix} 1 \\ -3 \\ 2 \end{bmatrix}, \mathbf{v}_3 = \begin{bmatrix} -1 \\ 0 \\ 1\end{bmatrix}$$ are all eigenvectors of $A$. * Compute $\left[\begin{array}{rrr} 1 & 1 & 1 \end{array}\right]\cdot\mathbf{x}_0$ and deduce that $c_1 = 1$.* Finally, let $\mathbf{x}_k = A^k \mathbf{x}_0$. Show that $\mathbf{x}_k \longrightarrow \mathbf{v}_1$ as $k$ goes to infinity. (The vector $\mathbf{v}_1$ is called a **steady-state vector** for $A.$) **Solution**. To prove that $c_1 = 1$, we first left-multiply both sides of the above equation by $[1 \, 1\, 1]$ and then simplify both sides:$$\begin{aligned}[1 \, 1\, 1]\mathbf{x}_0 &= [1 \, 1\, 1](c_1\mathbf{v}_1 +…
Could someone help implement this in python. Would be great to show it for local max too. Just trying to achieve O(n) complexity.
6. Numpy.linalg https://numpy.org/doc/stable/reference/generated/numpy.linalg. solve.html. Generate a random, square matrix and random vector using numpy and then solve using numpy.linalg.solve(). Confirm it is a solution using 'A.dot (x)' where x is the solution from solve(). import numpy as np n=100 Numpy has its own black-box linear system solver numpy.linalg.solve(): A=np.random.rand (n,n) b=np.random.rand (n,1) I
Q5: (A) If the matrix A = [3 5 7; 10 11 12; 2 4 6; 13 14 15], find (5 only) (10 M) 1. A([23],[21]) 2. A (3,:) 3. A(:,2)=[] 4. C A([2 1 4 3],:) 5. A' 6. Size(A)
please please help
example code
I have seen the library so please dont send me it Show that any two rows of a matrix can be interchanged by elementary rowtransformations of the other two types (i.e. , of the type Ri → kRi and Rj → Rj +kRi).
How can the function, matrix_multiply_unopt, be optimized and rewritten to run faster using with n having a size of 1600? struct fn_args { int n; int *mem1; int *mem2; int *mem3; }; void matrix_multiply_unopt(struct fn_args *args) {int i, j, k, n;int *mat1, *mat2, *res; n = args->n;mat1 = args->mem1;mat2 = args->mem2;res = args->mem3; for(i = 0; i < n; i++){for(j = 0; j < n; j++){res[i * n + j] = 0;for(k = 0; k < n; k++){res[i * n + j] += mat1[i * n + k] * mat2[k * n + j];}}}}
N is not computing what is wrong with code?
Search a sorted matrix: The input consistsof a real number x and a matrix A[1..n, 1..m] of nm real numbers such that each rowA[i, 1..m] is sorted and each column A[1..n, j] is sorted. The goal is to find the maximum array entry A[i, j] that is less than or equal to x, or report that all elements of Aare larger than x. Design and analyze an iterative algorithm for this problem that examines as few matrix entries as possible. Becareful if you believe that a simple binarysearch solves the problem. make a lower bound, and recursive algorithm.
Be quick. Plzzzzzzz asap