Parallel Computing Toolbox

Implemented following functionality in the parallel computing toolbox:

1. Project 1 :

   1. Matrix multiplication and storage schemes.
   2. LU Decomposition and Ax = b solution.
   3. QR Decomposition and Ax = b solution.

2. Project 2 :

   1. Parallelization based on OpenMP.
   2. For compiling any program:
      1. gcc -fopenmp file.c
   3. Solutions on:
      1. For loop scheduling.
      2. Parallel Monte carlo for PI digits calculation.
      3. Parallel Jacobi solver for generating new matrix with values containing mean of 4 neighbours.
      4. Example of race condition
   4. Resources:
      1. IIT M OpenMP slides
      2. Jaka’s Blog

3. Project 3 :

   1. Parallel implementation of PCA for image compression from scratch.