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PARALLEL SPARSE MATRIXMATRIX MULTIPLICATION AND INDEXING: IMPLEMENTATION AND EXPERIMENTS arXiv:1109.3739v2 cs. DC 26 Apr 2012AYDIN BUL UC ADJOIN R. GILBERTAbstract. Generalized sparse matrix multiplication
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How to fill out parallel sparse matrix-matrix multiplication
How to fill out parallel sparse matrix-matrix multiplication
01
Create the two sparse matrices that need to be multiplied.
02
Determine the number of processes that will be used for parallel computation.
03
Divide the two input matrices into equal-sized submatrices and distribute them among the processes.
04
Implement the parallel algorithm for sparse matrix-matrix multiplication, such as the variant of recursive coordinate-bisection.
05
Each process independently performs the local computation of the submatrices assigned to it.
06
Exchange boundary information between neighboring processes to ensure correct multiplication of non-local elements.
07
Gather the results from all processes and combine them to obtain the final product matrix.
08
Verify the correctness of the parallel multiplication by comparing it with the result obtained from sequential multiplication.
09
Optimize the parallel algorithm and adjust the number of processes based on performance analysis.
Who needs parallel sparse matrix-matrix multiplication?
01
Parallel sparse matrix-matrix multiplication is commonly used in scientific computing and various areas of research where large sparse matrices are involved, such as:
02
- Finite element analysis
03
- Computational fluid dynamics
04
- Image and signal processing
05
- Network analysis and graph algorithms
06
- Machine learning and data analysis
07
By parallelizing the multiplication operation, the computational efficiency can be significantly improved, allowing researchers and practitioners to solve complex problems in a timely manner.
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What is parallel sparse matrix-matrix multiplication?
Parallel sparse matrix-matrix multiplication is a process where matrices that contain mostly zero values are multiplied in parallel to compute the result.
Who is required to file parallel sparse matrix-matrix multiplication?
Researchers, engineers, or anyone working with large sparse matrices may need to implement and file parallel sparse matrix-matrix multiplication.
How to fill out parallel sparse matrix-matrix multiplication?
To fill out parallel sparse matrix-matrix multiplication, one needs to implement algorithms that take advantage of parallel processing to perform matrix multiplication efficiently.
What is the purpose of parallel sparse matrix-matrix multiplication?
The purpose of parallel sparse matrix-matrix multiplication is to speed up the computation of matrix multiplication when dealing with large sparse matrices.
What information must be reported on parallel sparse matrix-matrix multiplication?
Information such as the matrices being multiplied, the parallel processing techniques used, and the resulting matrix should be reported on parallel sparse matrix-matrix multiplication.
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