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)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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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.
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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