Question

implementing a recusive algorithm in order to transpose a matrix in C for a question in my parallel programming course. the algorithm needs to divide the processors into four subcommunicators and then apply upon each processor the recursive algorithm. when the communicator has only 1 process, i then transpose the matrix.

Answer 1

To transpose a matrix using a recursive algorithm in C, divide the processors into subcommunicators and apply the recursive algorithm. When a subcommunicator has one process, transpose the matrix.

Step-by-step explanation:

To transpose a matrix using a recursive algorithm in C, you can start by dividing the processors into four subcommunicators. Each subcommunicator will work on a portion of the matrix. Once a subcommunicator has only one process, you can apply the transposition algorithm to that specific portion of the matrix.

Here is an example of how the recursive algorithm can be implemented:

1. Divide the matrix into four equal submatrices.
2. Each submatrix is assigned to a separate processor to apply the recursive algorithm.
3. If a submatrix has only one process, transpose that submatrix.
4. Combine the transposed submatrices to obtain the final transposed matrix.

This recursive process will continue until each subcommunicator has only one process and the corresponding submatrix is transposed.