提高并行矩阵乘法的效率可以采用多种方法,如优化算法、调整计算顺序、并行化等。以下是一种以Java并行化实现的示例代码:
import java.util.concurrent.ForkJoinPool; import java.util.concurrent.RecursiveAction;
public class ParallelMatrixMultiplication extends RecursiveAction { private final int THRESHOLD = 256; private int[][] A, B, C; private int rowStart, rowEnd, colStart, colEnd, size;
public ParallelMatrixMultiplication(int[][] A, int[][] B, int[][] C, int rowStart, int rowEnd, int colStart, int colEnd) {
this.A = A;
this.B = B;
this.C = C;
this.rowStart = rowStart;
this.rowEnd = rowEnd;
this.colStart = colStart;
this.colEnd = colEnd;
this.size = A.length;
}
@Override
protected void compute() {
if ((rowEnd - rowStart) * (colEnd - colStart) <= THRESHOLD) { // 如果矩阵规模小于阈值,则直接串行化计算
for (int i = rowStart; i < rowEnd; i++) {
for (int j = colStart; j < colEnd; j++) {
int sum = 0;
for (int k = 0; k < size; k++) {
sum += A[i][k] * B[k][j];
}
C[i][j] = sum;
}
}
} else {
// 将矩阵分成四块并并行化计算
int midRow = (rowStart + rowEnd) / 2;
int midCol = (colStart + colEnd) / 2;
invokeAll(
new ParallelMatrixMultiplication(A, B, C, rowStart, midRow, colStart, midCol),
new ParallelMatrixMultiplication(A, B, C, rowStart, midRow, midCol,