Meaning of "Complx" as notation

Question

In this article one can find the following expression on Appendix B (typos also transcribed):

$$ z_k = \mathcal{Re}\sum_{j = 1}^{N}\text{Complx}(D_{jj}y_j, D_{j + N\;j+n}y_{j + n})^*\times\text{Complx}(A_{jk}, A_{j+N\;k}), $$ where $^*$ stands for complex conjugation.

What does $\text{Complx}(D_{jj}y_j, D_{j + N\;j+n}y_{j + n})$ stand for?

Does it stand for the complex number $z_k$ defined by $D_{jj}y_j$ as its real part and $D_{j + N\;j+n}y_{j + n}$ as its imaginary part?

Googling "Complx" did not really help, and I have never encountered such notation before... It seems like a constructor for complex numbers :)

Answer 1

Yes, the paragraph right before the first occurrence of the expression implies that $\mathrm{Complx}(a,b)=a+bi$.

... the vector $\mathbf{y}$ is real with dimension $2N$, where $N$ is the number of complex data points used in the inversion. ... For compact programmable expressions, we let the vector $\mathbf{y}$ ... be redefined as complex so that they can be conveniently stored in the computer memory. ... we have for the $j$th element of the first matrix-vector multiplication $$y_j=\mathrm{Complx}\Bigl\{\cdots\Bigr\}$$

(original text)