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