# NAG CL Interfacec06gqc (withdraw_​conjugate_​hermitian_​mult_​rfmt)

Note: this function is deprecated and will be withdrawn at Mark 30.2. There is no replacement for this function.

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## 1Purpose

c06gqc forms the complex conjugates of $m$ Hermitian sequences, each containing $n$ data values.

## 2Specification

 #include
 void c06gqc (Integer m, Integer n, double x[], NagError *fail)
The function may be called by the names: c06gqc, nag_sum_withdraw_conjugate_hermitian_mult_rfmt or nag_multiple_conjugate_hermitian.

## 3Description

This is a utility function for use in conjunction with c06fpc and c06fqc to calculate inverse discrete Fourier transforms.

None.

## 5Arguments

1: $\mathbf{m}$Integer Input
On entry: the number of Hermitian sequences to be conjugated, $m$.
Constraint: ${\mathbf{m}}\ge 1$.
2: $\mathbf{n}$Integer Input
On entry: the number of data values in each Hermitian sequence, $n$.
Constraint: ${\mathbf{n}}\ge 1$.
3: $\mathbf{x}\left[{\mathbf{m}}×{\mathbf{n}}\right]$double Input/Output
On entry: the $m$ data sequences must be stored in x consecutively. If the $n$ data values ${z}_{j}^{p}$ are written as ${x}_{j}^{p}+{iy}_{j}^{p}$, $p=1,2,\dots ,m$, then for $0\le j\le n/2$, ${x}_{j}^{p}$ is contained in ${\mathbf{x}}\left[\left(p-1\right)×n+j\right]$, and for $1\le j\le \left(n-1\right)/2$, ${y}_{j}^{p}$ is contained in ${\mathbf{x}}\left[\left(p-1\right)×n+n-j\right]$.
On exit: the imaginary parts ${y}_{j}^{p}$ are negated. The real parts ${x}_{j}^{p}$ are not referenced.
4: $\mathbf{fail}$NagError * Input/Output
The NAG error argument (see Section 7 in the Introduction to the NAG Library CL Interface).

## 6Error Indicators and Warnings

NE_INT_ARG_LT
On entry, ${\mathbf{m}}=⟨\mathit{\text{value}}⟩$.
Constraint: ${\mathbf{m}}\ge 1$.
On entry, ${\mathbf{n}}=⟨\mathit{\text{value}}⟩$.
Constraint: ${\mathbf{n}}\ge 1$.

Exact.

## 8Parallelism and Performance

c06gqc is not threaded in any implementation.

None.

## 10Example

This program reads in sequences of real data values which are assumed to be Hermitian sequences of complex data stored in Hermitian form. The sequences are expanded into full complex form using c06gsc and printed. The sequences are then conjugated (using c06gqc) and the conjugated sequences are expanded into complex form using c06gsc and printed out.

### 10.1Program Text

Program Text (c06gqce.c)

### 10.2Program Data

Program Data (c06gqce.d)

### 10.3Program Results

Program Results (c06gqce.r)