/// <summary>
/// 矩阵相乘
/// </summary>
/// <param name="a"></param>
/// <param name="b"></param>
/// <returns></returns>
public static CustomMatrix operator *(CustomMatrix a, CustomMatrix b)
{
if (a == null || b == null)
{
return(null);
}
if (a.Column != b.Row)
{
MessageBox.Show("相乘矩阵维数不匹配。");
return(null);
}
CustomMatrix result = new CustomMatrix(a.Row, b.Column);
for (int i = 0; i < a.Row; i++)
{
for (int j = 0; j < b.Column; j++)
{
for (int k = 0; k < a.Column; k++)
{
result[i, j] += a[i, k] * b[k, j];
}
}
}
return(result);
}
/// <summary>
/// 矩阵乘以实数
/// </summary>
/// <param name="matrix"></param>
/// <param name="factor"></param>
/// <returns></returns>
public static CustomMatrix operator *(CustomMatrix matrix, double factor)
{
if (matrix == null)
{
return(null);
}
CustomMatrix result = new CustomMatrix(matrix.Row, matrix.Column);
for (int i = 0; i < matrix.Row; i++)
{
for (int j = 0; j < matrix.Column; j++)
{
matrix[i, j] = matrix[i, j] * factor;
}
}
return(matrix);
}
/// <summary>
/// 矩阵相加
/// </summary>
/// <param name="a"></param>
/// <param name="b"></param>
/// <returns></returns>
public static CustomMatrix operator +(CustomMatrix a, CustomMatrix b)
{
if (a == null || b == null)
{
return(null);
}
if (a.Row != b.Row || a.Column != b.Column)
{
MessageBox.Show("注意！行数和列数不相等的矩阵不能相加...");
return(null);
}
CustomMatrix result = new CustomMatrix(a.Row, a.Column);
for (int i = 0; i < a.Row; i++)
{
for (int j = 0; j < a.Column; j++)
{
result[i, j] = a[i, j] + b[i, j];
}
}
return(result);
}