f16 Chapter Contents
f16 Chapter Introduction
NAG Library Manual

# NAG Library Function Documentnag_dmin_val (f16jpc)

## 1  Purpose

nag_dmin_val (f16jpc) computes the smallest component of a real vector, along with the index of that component.

## 2  Specification

 #include #include
 void nag_dmin_val (Integer n, const double x[], Integer incx, Integer *k, double *r, NagError *fail)

## 3  Description

nag_dmin_val (f16jpc) computes the smallest component, $r$, of an $n$-element real vector $x$, and determines the smallest index, $k$, such that
 $r=xk=minjxj.$

## 4  References

Basic Linear Algebra Subprograms Technical (BLAST) Forum (2001) Basic Linear Algebra Subprograms Technical (BLAST) Forum Standard University of Tennessee, Knoxville, Tennessee http://www.netlib.org/blas/blast-forum/blas-report.pdf

## 5  Arguments

1:    $\mathbf{n}$IntegerInput
On entry: $n$, the number of elements in $x$.
Constraint: ${\mathbf{n}}\ge 0$.
2:    $\mathbf{x}\left[\mathit{dim}\right]$const doubleInput
Note: the dimension, dim, of the array x must be at least $\mathrm{max}\phantom{\rule{0.125em}{0ex}}\left(1,1+\left({\mathbf{n}}-1\right)×\left|{\mathbf{incx}}\right|\right)$.
On entry: the vector $x$. Element ${x}_{\mathit{i}}$ is stored in ${\mathbf{x}}\left[\left(\mathit{i}-1\right)×\left|{\mathbf{incx}}\right|\right]$, for $\mathit{i}=1,2,\dots ,n$.
3:    $\mathbf{incx}$IntegerInput
On entry: the increment in the subscripts of x between successive elements of $x$.
Constraint: ${\mathbf{incx}}\ne 0$.
4:    $\mathbf{k}$Integer *Output
On exit: $k$, the index, from the set $\left\{0,\left|{\mathbf{incx}}\right|,\dots ,\left({\mathbf{n}}-1\right)×\left|{\mathbf{incx}}\right|\right\}$, of the smallest component of $x$. If ${\mathbf{n}}=0$ on input then k is returned as $-1$.
5:    $\mathbf{r}$double *Output
On exit: $r$, the smallest component of $x$. If ${\mathbf{n}}=0$ on input then r is returned as $0.0$.
6:    $\mathbf{fail}$NagError *Input/Output
The NAG error argument (see Section 3.6 in the Essential Introduction).

## 6  Error Indicators and Warnings

NE_ALLOC_FAIL
Dynamic memory allocation failed.
See Section 3.2.1.2 in the Essential Introduction for further information.
On entry, argument $〈\mathit{\text{value}}〉$ had an illegal value.
NE_INT
On entry, ${\mathbf{incx}}=〈\mathit{\text{value}}〉$.
Constraint: ${\mathbf{incx}}\ne 0$.
On entry, ${\mathbf{n}}=〈\mathit{\text{value}}〉$.
Constraint: ${\mathbf{n}}\ge 0$.
NE_INTERNAL_ERROR
See Section 3.6.6 in the Essential Introduction for further information.
NE_NO_LICENCE
Your licence key may have expired or may not have been installed correctly.
See Section 3.6.5 in the Essential Introduction for further information.

## 7  Accuracy

The BLAS standard requires accurate implementations which avoid unnecessary over/underflow (see Section 2.7 of Basic Linear Algebra Subprograms Technical (BLAST) Forum (2001)).

Not applicable.

None.

## 10  Example

This example computes the smallest component and index of that component for the vector
 $x= 1,10,11,-2,9T .$

### 10.1  Program Text

Program Text (f16jpce.c)

### 10.2  Program Data

Program Data (f16jpce.d)

### 10.3  Program Results

Program Results (f16jpce.r)