Lecture 160:- Let's Code to Add Sparse Matrix

Certainly! Below is a Python code to add two sparse matrices using dictionaries to store the non-zero elements. We will define a function that takes two sparse matrices (represented as dictionaries) as input, performs the addition, and returns the resulting sparse matrix as a dictionary.

In this code, we assume that the sparse matrices are represented as dictionaries, where the keys are tuples (row, column), and the values are the corresponding non-zero elements in the matrices.

pythonCopy code

def add_sparse_matrices(A, B):    # Create a new dictionary to store the result of addition    C = {}    # Function to add two elements or assign the value if the key exists in C    def add_or_assign(row, col, value):        if (row, col) in C:            C[(row, col)] += value        else:            C[(row, col)] = value    # Iterate over the non-zero elements of matrix A and add them to C    for (row, col), value in A.items():        add_or_assign(row, col, value)    # Iterate over the non-zero elements of matrix B and add them to C    for (row, col), value in B.items():        add_or_assign(row, col, value)    return C # Example usage matrix_A = {(0, 1): 5, (1, 2): 10, (2, 0): 3} matrix_B = {(0, 1): 7, (1, 1): 2, (2, 0): 1} result_sparse_matrix = add_sparse_matrices(matrix_A, matrix_B) print("Result Sparse Matrix:") print(result_sparse_matrix)

In this code, the add_sparse_matrices function takes two sparse matrices A and B, iterates over their non-zero elements, and adds them together into a new dictionary C, which represents the resulting sparse matrix.

The example usage demonstrates adding two sparse matrices represented as dictionaries, and it prints the resulting sparse matrix to the console.

Note that this code is a basic example of adding sparse matrices using dictionaries. For large sparse matrices, specialized libraries or sparse matrix formats like CSR or CSC (as discussed in earlier responses) would be more efficient in terms of memory usage and computational speed.