write code to implement parallel matrix multiplicationC = A×B by row partitioning matrix A and sending each process its partition and the whole of matrix B. Each process performs its own multiplication and sends the partial product to the master process which collects all results and then prints the product matrix C, we have 4 processes including the master process. The output matrix C displayed is the product of matrices A and B.

write code to implement parallel matrix multiplicationC = A×B by row partitioning matrix A and sending each process its partition and the whole of matrix B. Each process performs its own multiplication and sends the partial product to the master process which collects all results and then prints the product matrix C, we have 4 processes including the master process. The output matrix C displayed is the product of matrices A and B.

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter13: Structures

Section: Chapter Questions

Problem 4PP

See similar textbooks

Related questions

Q: Computer Science Write an OpenMP program to calculate the dot product of two vectors (A and B) of…

A: Program: import java.io.*; class prog { static int num = 3; static int dotProd(int vect_A[],…

Q: implement parallel matrix multiplication by row-partitioning using the Process object of…

A: The aim is to use the Process object from Python's multiprocessing module to achieve parallel matrix…

Q: Matrix multiplication plays an important role in a number of applications. Two matrices can only be…

A: For addition and (m*p*n) for multiplication, the equations involved here are (m*p(n-1)). Both are…

Q: implement parallel matrix multiplicationC = A×B by row partitioning matrix A and sending each…

A: By row splitting matrix A and delivering each process its partition plus the entire matrix B, we…

Q: to show ALL outputs. User need to key in data for "x", "y", and "?" area, x is refers single…

A: CODE:- #include<stdio.h> int main() { char x[3][3]; char y[3][3]; int i,j;…

Q: E segment. new double [M] [N]; B = new double [M] [N]; A +th

A: #include<stdio.h> int main() { /* 2D array declaration*/ int disp[2][3]; /*Counter…

Q: We will now implement parallel matrix multiplication by row-partitioning using the Process object of…

A: Start. Import the multiprocessing module. Define the worker_process a function that takes a row…

Q: Write a driver function which initializes two rectangular matrices and multiplies them together.…

A: Matrix multiplication is a mathematical operation that takes two matrices as input and produces a…

Q: Write a C program that reads the values of two 2x2 arrays from the user. The fork a child process.…

A: C program for the given scenario is as follows: #include <stdio.h>#include…

Q: A matrix is a rectangle of numbers in rows and columns. A 1xN matrix has one row and N columns. An…

A: Java program that reads a 1xN matrix A and an NxN matrix B from input and outputs the 1xN matrix…

Q: use the Process object of the multiprocessing module to make Python implement row-partitioning for…

A: The multiprocessing module's Process object is used to provide a Python version of parallel matrix…

Q: Write a complete C program that creates two 4x4 matrices and initialize both using array…

A: Below I have provided a program for the given question. Also, I have attached a screenshot of the…

Q: Problem 4.11 in the textbook: The MixColumn transformation of AES consists of a matrix-vector…

A: Please refer to the following step for the complete solution to the problem above.

Q: Create a program that computes a simple matrix vector multiplication b=Ax, Use OpenMP directives to…

A: Code Screenshot and output below:

Q: In pythion with numpy I have code in a for loop that creates a vecor of 12 elements: x = 1 2 3 4 5…

A: Answer: Algorithms: Step1: we have import numpy as np as module Step2: we have print the 1 to 12 by…

Q: Write a python code in multiprocessing (from mpi4py import MPI) Consider a system of 2 processes.…

A: Let's see the solution in the next steps

Q: Write a JAVA program to add two matrix using pointers. JAVA program to input two matrix from user…

A: public class MatrixAdditionExample{ public static void main(String args[]){ //creating two…

Q: We are given a code symmetry, that takes an n x n matrix as its argument. It returns true if the…

A: When analyzing algorithms, it is common to express their efficiency in terms of big O notation,…

Q: When evaluating the correctness of a model, the only thing that can be considered is how well the…

A: Start: The conventional procedure for assessing machine learning models is to fit and appraise them…

Q: Using Java Modify the program 1 to compute the multiplication of two vectors with the sizes mx1 and…

A: 1. Define the two input vectors, m1 (mx1) and m2 (1xn).2. Determine the dimensions of the result…

Q: make python implement parallel matrix multiplication by row-partitioning using the Process object…

A: Python version of parallel matrix multiplication by row partitioning using the multiprocessing…

Q: Calculate the entry in the FeatureMap(1,3) in the figure?

A: The correct option is Option B) 21 Explanation ------------------------------------------------…

Q: use the Process object of the multiprocessing module to make Python implement row-partitioning for…

A: Row-partitioning for parallel matrix multiplication may be implemented in Python using the Process…

Concept explainers

Hash Table

A hash table also called a hash map, is a data structure that maps key-value pairs. The hash table can be used in complex systems to provide fast access and compact storage. A hash table is a structure that stores data in an abstract data type kind of associative array. It keeps data in an array format, with a distinct index value for every data value. If the index of the required data is known, then the data can be accessed very easily.

Question

write code to implement parallel matrix multiplicationC = A×B by row partitioning
matrix A and sending each process its partition and the whole of matrix B. Each
process performs its own multiplication and sends the partial product to the master
process which collects all results and then prints the product matrix C, we have 4
processes including the master process. The output matrix C displayed is the product of matrices A and B.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

implement parallel matrix multiplicationC = A×B by row partitioningmatrix A and sending each process its partition and the whole of matrix B. Eachprocess performs its own multiplication and sends the partial product to the masterprocess which collects all results and then prints the product matrix C, we have 4processes including the master process. The output matrix C displayed is the product of matrices A and B.use python to code.
use the Process object of the multiprocessing module to make Python implement row-partitioning for parallel matrix multiplication. Each of the three processes receives its row and matrix B from the master process and multiplies them to create the row of the output matrix C. The input matrices A and B are tiny 33 matrices. The associated row of matrixC from a worker is then sent to the master. For this algorithm, we must take the following into account: The data of the parent process is entirely present in the process when it is launched using the Process module, but any changes it makes are not reflected in the parent process.We must utilise the Manager object of the multiprocessing module and declare C as an array to be shared from this object in order to distribute the product matrix C amongst the processes. Each worker process multiplies and records the outcome in the corresponding row entry of matrix C.
The method to compress an image in image processing is using convolution matrix where the number of outputs is reduced by replacing the matrix multiplication with much smaller kernel matrix. This is illustrated on the figure below. In this example a black and white photograph is scanned as a rectangular array of pixels and then stored as image matrix on the left by assigning each pixel a numerical value in accordance with its gray level, (0 = white to 255 = black), then the entries in the matrix are integers between O and 255.Then multiplication is employed with much smaller kernel matrix in the middle. 0|0 21 00 o 106 85 71 1 250 231 127 63 1 250 252 250 209 56 1 250 252 250 250 83 Kernel 0 0 0 Feature map Image Boxes in red and blue frames indicate how the upper left element is formed by applying the kernel to the corresponding upper left region of the input matrix. The elements of much smaller "feature map" matrix on the right can be calculated from: 3.
Matrix multiplication plays an important role in a number of applications. Two matrices can only be multiplied if the number of columns of the fi rst matrix is equal to the number of rows in the second.Let’s assume we have an m × n matrix A and we want to multiply it by an n × p matrix B. We can express their product as an m × p matrix denoted by AB (or A ⋅ B). If we assign C = AB, and ci,j denotes the entry in C at position (i, j), then for each element i and j with 1 ≤ i ≤ m and 1 ≤ j ≤ p. Now we want to see if we can parallelize the computation of C. Assume that matrices are laid out in memory sequentially as follows: a1,1, a2,1, a3,1, a4,1, ..., etc.Assume that we are going to compute C on both a single core shared memory machine and a 4-core shared-memory machine. Compute the speedup we would expect to obtain on the 4-core machine, ignoring any memory issues.Repeat above Exercise, assuming that updates to C incur a cache miss due to false sharing when consecutive elements are in a…
A matrix is a rectangle of numbers in rows and columns. A 1xN matrix has one row and N columns. An NxN matrix has N rows and N columns. Multiplying a 1xN matrix A and an NxN matrix B produces a 1xN matrix C. To determine the Nth element of C multiply each element of A by each element of the Nth column of B and sum the results. Helpful information can be found at matrix multiplication. Write a program that reads a 1xN matrix A and an NxN matrix B from input and outputs the 1xN matrix product, C. The first integer input is N, followed by one row of N integers for matrix A and then N rows of N integers for matrix B. N can be of any size >= 2. For coding simplicity, follow each output integer by a space, even the last one. The output ends with a newline. Ex: If the input is: 2 2 3 1 2 3 4 A contains 2 and 3, the first row of B contains 1 and 2, and the second row of B contains 3 and 4. The first element of C is (2 * 1) + (3 * 3), and the second element of C is (2 * 2) + (3 * 4). The…
Write a JAVA program to add two matrix using pointers. JAVA program to input two matrix from user and find sum of both matrices using dynamic array.Example InputInput matrix1: 123456789Input matrix2: 987654321 OutputSum of both matrices:10 10 1010 10 1010 10 10
Write a driver function which initializes two rectangular matrices and multiplies them together. Remember that two matrices can be multiplied only if the number of columns of the first matrix is equal to the number of rows of the second matrix (i.e. A[n,m] X B[m,p] = C[n,p]).
Write a code segment to add two matrices A and B, and store the results in matrix C. C = A+B, that is C[i][j] A[i][j] + B[i][j] The dimensions of both A and B are MxN. Both M and N are defined as constant (final) positive integers, and data types of both matrices are double as shown in the following code segment. double [] [] A = double [][] B = new double [M] [N]; new double [M] [N]; V/ code initialize both A and B /* insert your code here (you need to both define C and perform the sum that populates the values of C) */ ...
The MixColumn transformation of AES consists of a matrix–vector multiplication in the field GF(2^8) with P(x)=x^8 +x^4 +x^3 +x +1. Let b =(b7 x^7 +...+b0) be one of the (four) input bytes to the vector–matrix multiplication. Each input byte is multiplied with the constants 01, 02 and 03. Your task is to provide exact equations for calculating the results of those three constant multiplications. We denote the result by d =(d7 x^7 +...+d0). 1. Write expressions for computing the 8 bits of d=01 · b as functions of the bi`s: d0= , d1= , d2= , d3= , d4= , d5= , d6= and d7= . 2. Write expressions for computing the 8 bits of d=02 · b as functions of the bi's. If a XOR operation of two bits is required write it as, for example, b0+b1. d0= , d1= , d2= , d3= , d4= , d5= , d6= and d7= . 3. Repeat for d =03 · b: d0= , d1= , d2= , d3= , d4= , d5= , d6= and d7= . Note: The AES specification uses “01” to represent the polynomial 1, “02” to represent the polynomial x, and “03” to represent x +1
Please written by computer source Question 1: Suppose we wish to write a procedure that computes the inner product of two vectors u and v. An abstract version of the function has a CPE of 14–18 with x86- 64 for different types of integer and floating-point data. By doing the same sort of transformations we did to transform the abstract program combine1 into the more efficient combine4, we get the following code: Our measurements show that this function has CPEs of 1.50 for integer data and 3.00 for floating-point data. For data type double, the x86-64 assembly code for the inner loop is as follows: Assume that the functional units have the characteristics listed in Figure 5.12. **See last page for figures A. Diagram how this instruction sequence would be decoded into operations and show how the data dependencies between them would create a critical path of operations, in the style of textbook Figures 5.13 and 5.14. vmovsd vmovsd vmulsd vaddsd | | | |…
In pythion with numpy I have code in a for loop that creates a vecor of 12 elements:x = 1 2 3 4 5 6 7 8 9 10 11 12 The loop iterates 10 times. The second iteration generates a new vector x = 12 11 10 9 8 7 6 5 4 3 2 1 etc. At the end of the loop I need to have a 12 X 10 matrix x x x x x x x x x x x x x x x x x x x xx x x x x x x x x x x x x x x x x x x xx x x x x x x x x x x x x x x x x x x xx x x x x x x x x x x x x x x x x x x xx x x x x x x x x x x x x x x x x x x xx x x x x x x x x x x x x x x x x x x x I cannot figure out how to createa matrix where it takes the output and uses the output as row
Computer Science Parallelization of matrix vector multiplication 3.1 Create a program that computes a simple matrix vector multiplication b=Ax, Use OpenMP directives to make it run in parallel.