a) Write the sequential version in C++ (refer the sequential algorithm below). Show the proof of correctness of your program (you can run your program with a small matrix size (e.g. 4x4 and small vector size (e.g. 4x1), verify it correctness, and attach a screenshot of correct result to this document). You can generate your matrix A and vector b using random numbers in the range of 1 to 10. Also, feel free to re-use any parts of the given codes to develop your own programs. Sequential Algorithm for matrix-vector multiplication Input: a[0..m – 1,0..n – 1] – matrix with dimension m × n b(0..n – 1] – vector with dimension n × 1 Output: e(0.m – 1] – result vector with dimension m x 1 for i + 0 to m – 1 c[i] + 0 for j+ 0 to n – 1 cli) – c[i) + a[i, 5] × blG] endfor endfor
a) Write the sequential version in C++ (refer the sequential algorithm below). Show the proof of correctness of your program (you can run your program with a small matrix size (e.g. 4x4 and small vector size (e.g. 4x1), verify it correctness, and attach a screenshot of correct result to this document). You can generate your matrix A and vector b using random numbers in the range of 1 to 10. Also, feel free to re-use any parts of the given codes to develop your own programs. Sequential Algorithm for matrix-vector multiplication Input: a[0..m – 1,0..n – 1] – matrix with dimension m × n b(0..n – 1] – vector with dimension n × 1 Output: e(0.m – 1] – result vector with dimension m x 1 for i + 0 to m – 1 c[i] + 0 for j+ 0 to n – 1 cli) – c[i) + a[i, 5] × blG] endfor endfor
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Hi there, I needed help solving this problem. Can you help me with this?
![a) Write the sequential version in C++ (refer the sequential algorithm below). Show the
proof of correctness of your program (you can run your program with a small matrix size (e.g.
4x4 and small vector size (e.g. 4x1), verify it correctness, and attach a screenshot of correct
result to this document). You can generate your matrix A and vector b using random numbers
in the range of 1 to 10. Also, feel free to re-use any parts of the given codes to develop your
own programs.
Sequential Algorithm for matrix-vector multiplication
a[0..m – 1,0..n – 1]– matrix with dimension m x n
b[0..n – 1) – vector with dimension × 1
Input:
Output: c0..m –- 1) – result vector with dimension m x 1
for i + 0 to m – 1
c[i] ++ 0
for j + 0 to n – 1
c[i) + c[t) + a[i, j) × b\j]
endfor
endfor
b) Write MPI version in C++. Show proof of correctness.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10c8f40e-1000-4eb7-9132-6530f0b97a64%2F511e0d2e-8ca2-428d-87fa-b6c3345f357a%2Fnmrhjjr_processed.png&w=3840&q=75)
Transcribed Image Text:a) Write the sequential version in C++ (refer the sequential algorithm below). Show the
proof of correctness of your program (you can run your program with a small matrix size (e.g.
4x4 and small vector size (e.g. 4x1), verify it correctness, and attach a screenshot of correct
result to this document). You can generate your matrix A and vector b using random numbers
in the range of 1 to 10. Also, feel free to re-use any parts of the given codes to develop your
own programs.
Sequential Algorithm for matrix-vector multiplication
a[0..m – 1,0..n – 1]– matrix with dimension m x n
b[0..n – 1) – vector with dimension × 1
Input:
Output: c0..m –- 1) – result vector with dimension m x 1
for i + 0 to m – 1
c[i] ++ 0
for j + 0 to n – 1
c[i) + c[t) + a[i, j) × b\j]
endfor
endfor
b) Write MPI version in C++. Show proof of correctness.
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