# zlatm1.f - Man Page

TESTING/MATGEN/zlatm1.f

## Synopsis

### Functions/Subroutines

subroutine zlatm1 (mode, cond, irsign, idist, iseed, d, n, info)
ZLATM1

## Function/Subroutine Documentation

### subroutine zlatm1 (integer mode, double precision cond, integer irsign, integer idist, integer, dimension( 4 ) iseed, complex*16, dimension( * ) d, integer n, integer info)

ZLATM1

Purpose:

```    ZLATM1 computes the entries of D(1..N) as specified by
MODE, COND and IRSIGN. IDIST and ISEED determine the generation
of random numbers. ZLATM1 is called by ZLATMR to generate
random test matrices for LAPACK programs.```
Parameters

MODE

```          MODE is INTEGER
On entry describes how D is to be computed:
MODE = 0 means do not change D.
MODE = 1 sets D(1)=1 and D(2:N)=1.0/COND
MODE = 2 sets D(1:N-1)=1 and D(N)=1.0/COND
MODE = 3 sets D(I)=COND**(-(I-1)/(N-1))
MODE = 4 sets D(i)=1 - (i-1)/(N-1)*(1 - 1/COND)
MODE = 5 sets D to random numbers in the range
( 1/COND , 1 ) such that their logarithms
are uniformly distributed.
MODE = 6 set D to random numbers from same distribution
as the rest of the matrix.
MODE < 0 has the same meaning as ABS(MODE), except that
the order of the elements of D is reversed.
Thus if MODE is positive, D has entries ranging from
1 to 1/COND, if negative, from 1/COND to 1,
Not modified.```

COND

```          COND is DOUBLE PRECISION
On entry, used as described under MODE above.
If used, it must be >= 1. Not modified.```

IRSIGN

```          IRSIGN is INTEGER
On entry, if MODE neither -6, 0 nor 6, determines sign of
entries of D
0 => leave entries of D unchanged
1 => multiply each entry of D by random complex number
uniformly distributed with absolute value 1```

IDIST

```          IDIST is INTEGER
On entry, IDIST specifies the type of distribution to be
used to generate a random matrix .
1 => real and imaginary parts each UNIFORM( 0, 1 )
2 => real and imaginary parts each UNIFORM( -1, 1 )
3 => real and imaginary parts each NORMAL( 0, 1 )
4 => complex number uniform in DISK( 0, 1 )
Not modified.```

ISEED

```          ISEED is INTEGER array, dimension ( 4 )
On entry ISEED specifies the seed of the random number
generator. The random number generator uses a
linear congruential sequence limited to small
integers, and so should produce machine independent
random numbers. The values of ISEED are changed on
exit, and can be used in the next call to ZLATM1
to continue the same random number sequence.
Changed on exit.```

D

```          D is COMPLEX*16 array, dimension ( N )
Array to be computed according to MODE, COND and IRSIGN.
May be changed on exit if MODE is nonzero.```

N

```          N is INTEGER
Number of entries of D. Not modified.```

INFO

```          INFO is INTEGER
0  => normal termination
-1  => if MODE not in range -6 to 6
-2  => if MODE neither -6, 0 nor 6, and
IRSIGN neither 0 nor 1
-3  => if MODE neither -6, 0 nor 6 and COND less than 1
-4  => if MODE equals 6 or -6 and IDIST not in range 1 to 4
-7  => if N negative```
Author

Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Definition at line 136 of file zlatm1.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page zlatm1(3) is an alias of zlatm1.f(3).

Tue Nov 28 2023 12:08:43 Version 3.12.0 LAPACK