1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
|
---
title: mtx_cmul
description: multiplication of complex-valued matrix
categories:
- object
pdcategory: Matrix Math
see_also:
- mtx_*
- mtx_.cmul
inlets:
1st:
- type: matrix
description: real part of 1st input matrix (A)
2nd:
- type: matrix
description: imaginary part of 1st input matrix (B)
3rd:
- type: matrix
description: real part of 2nd input matrix (C)
4th:
- type: matrix
description: imaginary part of 2nd input matrix (D)
outlets:
1st:
- type: matrix
description: X - real part of multiplication of (A+jB)(C+jD)
2nd:
- type: matrix
description: Y - imaginary part of multiplication of (A+jB)(C+jD)
---
$$
Z_{m\times n} = (A_{m\times n}+jB_{m\times n}) \cdot (C_{m\times n}+jD_{m\times n}) \\\\
X_{m\times n} = \Re ({Z_{m\times n}}) \\\\
Y_{m\times n} = \Im ({Z_{m\times n}})
$$
|
