Solve the matrix multiplication problem using the parallel models.
To solve the matrix multiplication problem using parallel computing models, we'll explore several approaches. Matrix multiplication is a fundamental operation in various scientific and engineering applications, and optimizing its computation is essential for improving performance. Parallel computing offers opportunities to expedite this process by distributing the workload across multiple processing units. In this answer, we'll delve into different parallel models and how they can be applied to matrix multiplication.
1. Shared Memory Parallelism (SMP/Multi-threading):
In shared memory parallelism, multiple threads operate on shared memory. Each thread is assigned a portion of the matrix to compute the resulting matrix's elements. This approach is suitable for systems with multiple CPU cores.
```python
import numpy as np
import threading
def matrix_multiply_shared(A, B, result, start_row, end_row):
for i in range(start_row, end_row):
for j in range(B.shape[1]):
_________ _________ ____ _____ ___ ________ ___ _______ _____.
_____ _____ _______ ______ ______ ________ ______ ________.
____ ___ ___ ________ _______ ____ _____ ________ ___.
________ _____ ______ ___ ________ ___ _________ _____ __________ __________.
________ ______ ______ ______ _____ ____ ___ __________ _________ _________ _____.
______ ______ ________ __________ _______ _________ _____ _____ ________ __________ _______.
__________ _____ _________ ____ _________.
_________ _________ ____ _______ ___ ________ ___ ____ _________ _________ _________.
____ ___ _________ ______ __________ ______ _____ ____ ________.
______ _______ ____ _________ ________ _____ ________ _________ ____ ______ _______ _________.
__________ _____ _________ ____ ______ _______ ________.
____ _________ ________ ____ ____ _______.
_______ ________ ___ ___ _____ ____ _________ __________ ______ _____ ____ ______.
___ ________ ___ _________ ____ ______.
_____ _______ ________ __________ ___ ________ ___ _______ ________ __________ _________ __________.
_________ ___ ____ _________ _______ ___ _______ _________ _________ __________.
________ __________ ___ ________ ______ ___.
_______ _______ ___ _________ ________ _______ _______ _____.
____ _________ _______ __________ _____ _______ ____ _______ _______ _______.
____ ________ _________ ________ ___ _______.
_________ ________ _______ _________ _____ ___ __________ ________.
_______ ____ _______ ____ ___ _________ ______ _________ ______ _______ ___.
____ ________ _________ ________ _____ ____ _________ ___ ___.
______ __________ _______ ______ ______ __________ _______ ____ _____ __________ ____.
________ _____ __________ __________ _____ ____ ________ _________ ___ ______ _________.
________ _____ ___ _____ _______ ___ _________ _____ ________.
__________ ___ _________ ________ ___ ________ __________ _______ _______.
_____ _________ _______ _____ ___.
__________ _________ ________ ________ __________ _________.
________ ________ ___ ___ ________ ___ ____ ___ ______ _____ _____.
____ ____ ___ __________ __________ _____ ________ __________ _____ _____ ___.
_________ _________ _______ ______ _______ _______.
____ ________ __________ ___ _______ __________ ______ _______ _____ ______ __________ _______.
___ _______ ______ ____ _________ ____ _________ ___ __________ __________ _______.
_________ _________ ______ _____ _______ ______ _________.
_______ ______ ____ ________ __________ __________ _________ _________ __________ _______ __________ ____.
__________ ___ _________ ____ ___ __________ __________ _____ _____ ________.
_____ _____ ____ ____ ____ ______ ________ ______ _________ ___.
___ _______ ___ _______ ____ _____ ______ ________ __________.
__________ __________ ____ ____ ________ __________ ____ _____.
_________ ________ _______ ______ ____ __________ __________ _________ ___ ________ ____.
________ _______ ___ _________ _______ ____ ____ __________ _______ _________ _____ ______.
__________ ____ _________ ______ _________ __________ ______ _____ _________ _____.
_______ _____ ________ ___ _________ ____.
___ _________ ______ ______ ________ ________.
________ __________ ________ _______ ________ ______ ________ ________ _______ _____ ______ _______.
___ ________ ________ ____ __________ __________ ______ _____ _________ ________.
____ _____ ________ ____ _________ __________ ________ ___ _________ ____ _______.
___ ______ __________ ______ __________.
________ ______ _____ _____ ________ ______ _______ ____.
_____ _______ __________ ___ _____.
_______ _________ _______ _______ ____ ________ _____ ________ ____ _______ ___.
_________ ______ __________ _________ ______ ______ _________.
_____ __________ _____ ___ ___ __________.
________ ___ ________ ______ _________ _________ ________.
____ _____ __________ ___ ___ _________ _______ ________ __________ _____ ______.
_______ ______ _______ __________ ________ _____ _______ ___ _________ ________ _____.
___ _______ ________ _______ _____ ____ ________ ___ __________ __________ ______ ____.
_______ __________ _________ ________ _____.
________ __________ ____ _________ _______ __________ _________ ________ ________ _____ _______ _______.
____ _____ ______ _________ ____ ________.
______ __________ ________ __________ _____ ____ _____.
________ ____ ___ ____ _________.
____ ____ _______ ________ _________ ___ ________ ______ ___.
____ ______ __________ ________ _____ ______ _______ _______ __________ ______ _______ _________.
______ __________ __________ __________ _______ ________ ___.
_____ ______ _________ ________ ______ __________ ___.
_____ ________ _______ ___ ___ ____ _______ ___ _________ ____ ________ __________.
______ _______ _________ _______ _________ __________ _______ ___ ________ ________.
____ _____ _______ ______.
Get Full Answer on WhatsApp