Write a multithreaded java program that performs matrix multiplication

In that light, we will use the "convention" that matrix elements are named by an ordered pair, where the first entry in the pair is the row number and the second is the column number. The first line contains two integers: Thus your code will need to make sure that the multiplication of two matraces is defined and also be careful about how big the result will need to be.

With that in mind, it is designed as a warm up exercise. Further, using row major order, they are stored in the array in the order shown. For this class, you only need to divide the production row dimension among multiple threads in the computation. If it does, then notice how the loops run.

Take a minute to figure this out for yourself. Put another way, you can partition both the row dimension and the column dimension so that less of the per processor cache gets used in the production of the product. You should get something like element 0,0: Notice the slight disparity between English and the counting numbers here.

This convention is not enforced by C and indeed other languages like Fortran use a different convention.

It can be found at http: It must print the product in the same format with comments indicating rows as the input matrix files: Note that the number of columns in the first matrix should be the same as the number of rows in the second matrix. In this last example, it pairs up elements from row 1 of the A matrix and column 0 of the B matrix.

Probably the easiest way to see how this works is through an example. That is, do not implement rectangular partitioning and then turn in a solution that sets the column partitioning to use no threads unless your full credit solution meets the criteria described in the section above on Full Credit.

An loop is used whose counter k, ranges from 0 to e Using this notation element 0,0 is 27 element 0,1 is There are several ways to improve the performance using threads.

Java Program to Perform Matrix Multiplication

If you have implemented the threading correctly you should expect to see quite a bit of speed-up when the machine you are using has multiple processors. The program must conform to a specific prototype and generate output in the specified format. An inner loop has the loop counter j ranging from 0 to f.

Then each line is an element in row major order. For extra credit, implement rectangular partitioning where both dimensions are partitioned. We can help but you need to be proactive about seeking that help.

C Program to Perform Matrix Multiplication

What is the 0,0 element of the resulting product matrix C? In this example, there are three rows -- zero one and two -- and the elements of the zeroth row are all listed before the elements of the first row. Note this method of timing includes the time necessary to read in both A and B matrix files.

Goals The goals for this lab are to help you tune up your perhaps rusty C programming skills, and to give you some experience with programming using pthreads. The outer loop is counting off rows in the index i while the inner loop indexes columns in the j variable.

If it does, then you should consider it a sign that you need to brush up on your C. Now, our task is to find what numbers go into each of the positions of matrix C with d rows and f columns. C i,j is then the sum of these multiplications.Let the two matrix to be multiplied be A and B.

Let A be a matrix of order d*e - d rows and e columns and B be the second matrix of order e*f. Note that the number of columns in the first matrix should be the same as the number of rows in the second matrix.

The product matrix will be of order d*f. a program to print random matricies: print-rand-matrix.c; a function to return a matrix multiplication is a little bit more restricted in terms of what can be multiplied than its scalar counterpart.

In this assignment you you are to write a version of matrix multiply that uses threads to divide up the work necessary to compute the.

Trying to get a multi-threaded matrix multiplication to work in Java. It is given a (m x n) matrix, a (n x k) matrix and 't' threads to perform the operation on. My program works when the matrices are square and t == n. When running with t. Apr 18,  · 4. Write a program in Java to perform the following operations on Matrix using multithreading.

Get the required input matrix from the user and after that run. 1st Java Program OOPS Concepts Class Object Abstraction Encapsulation Polymorphism Inheritance Java Matrix Operations: Previous Chapter: Next Chapter: Matrix (Two Dimensional Array) Creation in Java; Matrix Addition in Java; killarney10mile.com This C program performs matrix multiplication.

In matrix multiplication, we take two matrices of order m*n and p*q respectively to find a resultant matrix of the order m*q where n is equal to p. Java Programming Examples on Combinatorial Problems & Algorithms .

Write a multithreaded java program that performs matrix multiplication
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