Name

cumprod — cumulative product

Calling Sequence

y=cumprod(x)
y=cumprod(x,'r') or y=cumprod(x,1)
y=cumprod(x,'c') or y=cumprod(x,2)
y=cumprod(x,'m')

Parameters

x

vector or matrix (real or complex)

y

vector or matrix (real or complex)

Description

For a vector or a matrix x, y=cumprod(x) returns in y the cumulative product of all the entries of x taken columnwise.

y=cumprod(x,'c') (or, equivalently, y=cumprod(x,2)) returns in y the cumulative elementwise product of the columns of x: y(i,:)=cumprod(x(i,:))

y=cumprod(x,'r') (or, equivalently, y=cumprod(x,2)) returns in y the cumulative elementwise product of the rows of x: y(:,i)=cumprod(x(:,i)).

y=cumprod(x,'m') is the cumulative product along the first non singleton dimension of x (for compatibility with Matlab).

Examples

 
A=[1,2;3,4];

cumprod(A)
cumprod(A,'r')
cumprod(A,'c')

rand('seed',0);
a=rand(3,4);
[m,n]=size(a);
w=zeros(a);
w(1,:)=a(1,:);
for k=2:m;
  w(k,:)=w(k-1,:).*a(k,:);
end;
w-cumprod(a,'r')
 

See Also

cumsum, sum, prod