inner
-
constexpr std::vector<Complex> inner(const std::vector<Complex> &X, const std::vector<Complex> &Y) noexcept
Performs the discrete inner product [1] on two complex sequences.
Parameters
Returns
- Complex
A complex number.
The discrete inner product performs the following operation on two sequences \(X\) and \(Y\):
\[\newcommand{\compconj}[1]{%
\overline{#1}%
}
\langle X, Y \rangle = X \cdot \compconj{Y}\]
Example
std::vector<Complex> X = {1, 2, 3, 4, 5};
std::vector<Complex> Y = {1 + 5_j, 2 + 1_j, 3, 4, 5};
std::cout << inner(X, Y) << "\n";
Output:
55 - 7j
References