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NAG Toolbox: nag_blast_iamin_val (f16dr)

 Contents

    1  Purpose
    2  Syntax
    7  Accuracy
    9  Example

Purpose

nag_blast_iamin_val (f16dr) computes, with respect to absolute value, the smallest component of an integer vector, along with the index of that component.

Syntax

[k, ii] = f16dr(n, x, incx)
[k, ii] = nag_blast_iamin_val(n, x, incx)

Description

nag_blast_iamin_val (f16dr) computes, with respect to absolute value, the smallest component, i, of an n-element integer vector x, and determines the smallest index, k, such that
i=xk=minjxj.  

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

Parameters

Compulsory Input Parameters

1:     n int64int32nag_int scalar
n, the number of elements in x.
2:     x1+n-1×incx int64int32nag_int array
The n-element vector x.
If incx>0, xi must be stored in xi-1×incx+1, for i=1,2,,n.
If incx<0, xi must be stored in xn-i×incx+1, for i=1,2,,n.
Intermediate elements of x are not referenced. If n=0, x is not referenced.
3:     incx int64int32nag_int scalar
The increment in the subscripts of x between successive elements of x.
Constraint: incx0.

Optional Input Parameters

None.

Output Parameters

1:     k int64int32nag_int scalar
k, the index, from the set 1,2,,n , of the smallest component of x with respect to absolute value. If n0 on input then k is returned as 0.
2:     ii int64int32nag_int scalar
i, the smallest component of x with respect to absolute value. If n0 on input then ii is returned as 0.

Error Indicators and Warnings

If incx=0, an error message is printed and program execution is terminated.

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)).

Further Comments

None.

Example

This example computes the smallest component with respect to absolute value and index of that component for the vector
x= 1,10,11,-2,9T .  
function f16dr_example


fprintf('f16dr example results\n\n');

% Minimum absolute value of vector of integers and its location
n    = int64(5);
x    = [int64(1)   10   11   -2    9];
incx = int64(1);

[xloc, xmin] = f16dr(n, x, incx);

fprintf('minabs(');
fprintf('%4d',x);
fprintf(') = |x(%4d)| = %5d\n', xloc, xmin);


f16dr example results

minabs(   1  10  11  -2   9) = |x(   1)| =     1

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