eclipse写出矩阵连乘的代码

在Eclipse中编写矩阵连乘的代码，我们可以使用Java语言，结合Apache Commons Math库，该库提供了一些高效的矩阵操作。以下是一个简单的例子，演示如何利用Apache Commons Math进行矩阵的分块乘法：

import org.apache.commons.math3.linear.*;

public class MatrixMultiplication {
    public static void main(String[] args) {
        // 创建4x4矩阵
        RealMatrix matrixA = MatrixUtils.createRealMatrix(new double[][] {
                {1, 2, 3, 4},
                {5, 6, 7, 8},
                {9, 10, 11, 12},
                {13, 14, 15, 16}
        });

        RealMatrix matrixB = MatrixUtils.createRealMatrix(new double[][] {
                {17, 18},
                {19, 20},
                {21, 22},
                {23, 24}
        });

        // 分块并计算矩阵乘积
        int blockSize = 2; // 可调整子矩阵大小
        RealMatrix result = blockMultiply(matrixA, matrixB, blockSize);

        // 打印结果矩阵
        System.out.println("Result:\n" + result);
    }

    private static RealMatrix blockMultiply(RealMatrix a, RealMatrix b, int blockSize) {
        if (a.getRowDimension() % blockSize != 0 || b.getColumnDimension() % blockSize != 0) {
            throw new IllegalArgumentException("Matrix dimensions must be divisible by the block size");
        }
        
        int rowsA = a.getRowDimension() / blockSize;
        int colsA = a.getColumnDimension();
        int rowsB = b.getRowDimension();
        int colsB = b.getColumnDimension() / blockSize;

        RealMatrix result = MatrixUtils.createRealMatrix(rowsA, colsB);

        for (int i = 0; i < rowsA; i++) {
            for (int j = 0; j < colsB; j++) {
                for (int k = 0; k < colsA; k++) {
                    for (int l = 0; l < blockSize; l++) {
                        for (int m = 0; m < blockSize; m++) {
                            result.setEntry(i * blockSize + l, j * blockSize + m,
                                    result.getEntry(i * blockSize + l, j * blockSize + m) +
                                            a.getEntry(i * blockSize + l, k * blockSize + m) *
                                            b.getEntry(k * blockSize + m, j * blockSize + m));
                        }
                    }
                }
            }
        }

        return result;
    }
}

这个代码首先创建两个矩阵A和B，然后使用`blockMultiply`函数，按照指定的块大小将原矩阵拆分成小块，并分别计算每个小块的乘积，最后组合成最终的结果。