Method on @sym: cumprod (x) ¶

Method on @sym: cumprod (x, dim) ¶

Cumulative product over the rows or columns of a symbolic array.

If dim is omitted, it defaults to the first non-singleton dimension. For example:

Examples:

t = sym ('t');
Pi = sym ('pi');
T = [t; t + Pi / 2; t + Pi; t + 3 * Pi / 2; t + 2 * Pi];
C = cos (T);
cumprod (C)
  ⇒ (sym 5×1 matrix)
      ⎡    cos(t)     ⎤
      ⎢               ⎥
      ⎢-sin(t)⋅cos(t) ⎥
      ⎢               ⎥
      ⎢          2    ⎥
      ⎢sin(t)⋅cos (t) ⎥
      ⎢               ⎥
      ⎢   2       2   ⎥
      ⎢sin (t)⋅cos (t)⎥
      ⎢               ⎥
      ⎢   2       3   ⎥
      ⎣sin (t)⋅cos (t)⎦

Specify dimension along which to compute the product:

X = repmat (sym ('x'), 2, 3 );

cumprod (X, 1)
  ⇒ (sym 2×3 matrix)
      ⎡x   x   x ⎤
      ⎢          ⎥
      ⎢ 2   2   2⎥
      ⎣x   x   x ⎦

cumprod (X, 2)
  ⇒ (sym 2×3 matrix)
      ⎡    2   3⎤
      ⎢x  x   x ⎥
      ⎢         ⎥
      ⎢    2   3⎥
      ⎣x  x   x ⎦

See also: @@sym/prod, @@sym/cumsum.

Package: symbolic