1ZLARNV(1)           LAPACK auxiliary routine (version 3.1)           ZLARNV(1)
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NAME

6       ZLARNV  - a vector of n random complex numbers from a uniform or normal
7       distribution
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SYNOPSIS

10       SUBROUTINE ZLARNV( IDIST, ISEED, N, X )
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12           INTEGER        IDIST, N
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14           INTEGER        ISEED( 4 )
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16           COMPLEX*16     X( * )
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PURPOSE

19       ZLARNV returns a vector of n random complex numbers from a  uniform  or
20       normal distribution.
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ARGUMENTS

24       IDIST   (input) INTEGER
25               Specifies the distribution of the random numbers:
26               = 1:  real and imaginary parts each uniform (0,1)
27               = 2:  real and imaginary parts each uniform (-1,1)
28               = 3:  real and imaginary parts each normal (0,1)
29               = 4:  uniformly distributed on the disc abs(z) < 1
30               = 5:  uniformly distributed on the circle abs(z) = 1
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32       ISEED   (input/output) INTEGER array, dimension (4)
33               On  entry,  the  seed of the random number generator; the array
34               elements must be between 0 and 4095, and ISEED(4) must be  odd.
35               On exit, the seed is updated.
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37       N       (input) INTEGER
38               The number of random numbers to be generated.
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40       X       (output) COMPLEX*16 array, dimension (N)
41               The generated random numbers.
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FURTHER DETAILS

44       This routine calls the auxiliary routine DLARUV to generate random real
45       numbers from a uniform (0,1) distribution, in  batches  of  up  to  128
46       using  vectorisable  code.  The  Box-Muller method is used to transform
47       numbers from a uniform to a normal distribution.
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52 LAPACK auxiliary routine (versionNo3v.e1m)ber 2006                       ZLARNV(1)