C#矩阵相乘

第一种：交叉数组形式

1. /// <summary>

2. /// 矩阵乘法

3. /// <param name="matrix1">矩阵1</param>

4. /// <param name="matrix2">矩阵2</param>

5. /// <returns>积</returns>

6. private static double[][] MatrixMult(double[][] matrix1, double[][] matrix2)

7. {

8. //matrix1是m*n矩阵，matrix2是n*p矩阵，则result是m*p矩阵

9. int m = matrix1.Length, n = matrix2.Length, p = matrix2[0].Length;

10. double[][] result = new double[m][];

11. for (int i = 0; i < result.Length; i++)

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12. {

13. result[i] = new double[p];

14. }

15. //矩阵乘法：c[i,j]=Sigma(k=1→n,a[i,k]*b[k,j])

16. for (int i = 0; i < m; i++)

17. {

18. for (int j = 0; j < p; j++)

19. {

20. //对乘加法则

21. for (int k = 0; k < n; k++)

22. {

23. result[i][j] += (matrix1[i][k] * matrix2[k][j]);

24. }

25. }

26. }

27. return result;

28. }

30. /// <summary>

31. /// 打印矩阵

32. /// </summary>

33. /// <param name="matrix">待打印矩阵</param>

34. private static void PrintMatrix(double[][] matrix)

35. {

36. for (int i = 0; i < matrix.Length; i++)

37. {

38. for (int j = 0; j < matrix[i].Length; j++)

39. {

40. Console.Write(matrix[i][j] + "\t");

41. }

42. Console.WriteLine();

43. }

第二种：二维数组形式

1. /// <summary>

2. /// 矩阵乘法

3. /// <param name="matrix1">矩阵1</param>

4. /// <param name="matrix2">矩阵2</param>

5. /// <returns>积</returns>

6. private static double[,] MatrixMult(double[,] matrix1, double[,] matrix2)

7. {

8. //matrix1是m*n矩阵，matrix2是n*p矩阵，则result是m*p矩阵

9. int m = matrix1.GetLength(0), n = matrix2.GetLength(0), p = matrix2.GetLength(1);

10. double[,] result = new double[m,p];

11. //矩阵乘法：c[i,j]=Sigma(k=1→n,a[i,k]*b[k,j])

12. for (int i = 0; i < m; i++)

13. {

14. for (int j = 0; j < p; j++)

15. {

16. //对乘加法则

17. for (int k = 0; k < n; k++)

18. {

19. result[i,j] += (matrix1[i,k] * matrix2[k,j]);

20. }

21. }

22. }

23. return result;

24. }

26. /// <summary>

27. /// 打印矩阵

28. /// </summary>

29. /// <param name="matrix">待打印矩阵</param>

30. private static void PrintMatrix(double[,] matrix)

31. {

32. for (int i = 0; i < matrix.GetLength(0); i++)

33. {

34. for (int j = 0; j < matrix.GetLength(1); j++)

35. {

36. Console.Write(matrix[i,j] + "\t");

37. }

38. Console.WriteLine();

39. }