累积连乘（cumprod ）

矩阵的运算

matlab中的算法描述如下：

B = cumprod(A) returns the cumulative product along different dimensions of an array.

If A is a vector, cumprod(A) returns a vector containing the cumulative product of the elements of A.

If A is a matrix, cumprod(A) returns a matrix the same size as A containing the cumulative products for each column of A.

If A is a multidimensional array, cumprod(A) works on the first nonsingleton dimension.

B = cumprod(A,dim) returns the cumulative product of the elements along the dimension of A specified by scalar dim. For example,

cumprod(A,1) increments the first (row) index, thus working along the rows of A.

中文翻译如下：

B = cumprod(A)返回数组不同程度的累积连乘的结果。

如果A是一个向量，将返回一个包含A各元素累积连乘的结果的向量，元素个数与原向量相同。

如果A是一个矩阵，将返回一个和A同样大小的，包含A每一列向量累积连乘的结果的矩阵。

如果A是一个多为向量，cumprod（A）只对第一个nonsingleton（sorry，不认识也查不到）的维度上有效。

matlab中给出的例子如下：

输入：cumprod(1:5)

返回：ans =

1 2 6 24 120

输入：A = [1 2 3; 4 5 6];

cumprod(A)

返回：ans =

1 2 3

4 10 18

再输入：cumprod(A,2)

返回：ans =

1 2 6

4 20 120