# ctrmv(3) [centos man page]

```ctrmv.f(3)							      LAPACK								ctrmv.f(3)

NAME
ctrmv.f -

SYNOPSIS
Functions/Subroutines
subroutine ctrmv (UPLO, TRANS, DIAG, N, A, LDA, X, INCX)
CTRMV

Function/Subroutine Documentation
subroutine ctrmv (characterUPLO, characterTRANS, characterDIAG, integerN, complex, dimension(lda,*)A, integerLDA, complex, dimension(*)X,
integerINCX)
CTRMV Purpose:

CTRMV  performs one of the matrix-vector operations

x := A*x,   or	x := A**T*x,   or   x := A**H*x,

where x is an n element vector and	A is an n by n unit, or non-unit,
upper or lower triangular matrix.

Parameters:
UPLO

UPLO is CHARACTER*1
On entry, UPLO specifies whether the matrix is an upper or
lower triangular matrix as follows:

UPLO = 'U' or 'u'   A is an upper triangular matrix.

UPLO = 'L' or 'l'   A is a lower triangular matrix.

TRANS

TRANS is CHARACTER*1
On entry, TRANS specifies the operation to be performed as
follows:

TRANS = 'N' or 'n'   x := A*x.

TRANS = 'T' or 't'   x := A**T*x.

TRANS = 'C' or 'c'   x := A**H*x.

DIAG

DIAG is CHARACTER*1
On entry, DIAG specifies whether or not A is unit
triangular as follows:

DIAG = 'U' or 'u'   A is assumed to be unit triangular.

DIAG = 'N' or 'n'   A is not assumed to be unit
triangular.

N

N is INTEGER
On entry, N specifies the order of the matrix A.
N must be at least zero.

A

A is COMPLEX array of DIMENSION ( LDA, n ).
Before entry with  UPLO = 'U' or 'u', the leading n by n
upper triangular part of the array A must contain the upper
triangular matrix and the strictly lower triangular part of
A is not referenced.
Before entry with UPLO = 'L' or 'l', the leading n by n
lower triangular part of the array A must contain the lower
triangular matrix and the strictly upper triangular part of
A is not referenced.
Note that when  DIAG = 'U' or 'u', the diagonal elements of
A are not referenced either, but are assumed to be unity.

LDA

LDA is INTEGER
On entry, LDA specifies the first dimension of A as declared
in the calling (sub) program. LDA must be at least
max( 1, n ).

X

X is COMPLEX array of dimension at least
( 1 + ( n - 1 )*abs( INCX ) ).
Before entry, the incremented array X must contain the n
element vector x. On exit, X is overwritten with the
tranformed vector x.

INCX

INCX is INTEGER
On entry, INCX specifies the increment for the elements of
X. INCX must not be zero.

Author:
Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Date:
November 2011

Further Details:

Level 2 Blas routine.
The vector and matrix arguments are not referenced when N = 0, or M = 0

-- Written on 22-October-1986.
Jack Dongarra, Argonne National Lab.
Jeremy Du Croz, Nag Central Office.
Sven Hammarling, Nag Central Office.
Richard Hanson, Sandia National Labs.

Definition at line 148 of file ctrmv.f.

Author
Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012							ctrmv.f(3)```

## Check Out this Related Man Page

```CTRMV(l)							   BLAS routine 							  CTRMV(l)

NAME
CTRMV - perform one of the matrix-vector operations   x := A*x, or x := A'*x, or x := conjg( A' )*x,

SYNOPSIS
SUBROUTINE CTRMV ( UPLO, TRANS, DIAG, N, A, LDA, X, INCX )

INTEGER	INCX, LDA, N

CHARACTER*1	DIAG, TRANS, UPLO

COMPLEX	A( LDA, * ), X( * )

PURPOSE
CTRMV  performs one of the matrix-vector operations

where x is an n element vector and  A is an n by n unit, or non-unit, upper or lower triangular matrix.

PARAMETERS
UPLO   - CHARACTER*1.
On entry, UPLO specifies whether the matrix is an upper or lower triangular matrix as follows:

UPLO = 'U' or 'u'   A is an upper triangular matrix.

UPLO = 'L' or 'l'   A is a lower triangular matrix.

Unchanged on exit.

TRANS  - CHARACTER*1.
On entry, TRANS specifies the operation to be performed as follows:

TRANS = 'N' or 'n'   x := A*x.

TRANS = 'T' or 't'   x := A'*x.

TRANS = 'C' or 'c'   x := conjg( A' )*x.

Unchanged on exit.

DIAG   - CHARACTER*1.
On entry, DIAG specifies whether or not A is unit triangular as follows:

DIAG = 'U' or 'u'   A is assumed to be unit triangular.

DIAG = 'N' or 'n'   A is not assumed to be unit triangular.

Unchanged on exit.

N      - INTEGER.
On entry, N specifies the order of the matrix A.	N must be at least zero.  Unchanged on exit.

A      - COMPLEX 	 array of DIMENSION ( LDA, n ).
Before  entry  with   UPLO  =  'U' or 'u', the leading n by n upper triangular part of the array A must contain the upper triangular
matrix and the strictly lower triangular part of A is not referenced.  Before entry with UPLO = 'L' or 'l', the leading n by n lower
triangular  part	of  the array A must contain the lower triangular matrix and the strictly upper triangular part of A is not refer-
enced.  Note that when  DIAG = 'U' or 'u', the diagonal elements of A are not referenced	either,  but  are  assumed  to	be  unity.
Unchanged on exit.

LDA    - INTEGER.
On  entry,  LDA  specifies  the  first  dimension  of  A as declared in the calling (sub) program. LDA must be at least max( 1, n ).
Unchanged on exit.

X      - COMPLEX 	 array of dimension at least
( 1 + ( n - 1 )*abs( INCX ) ).  Before entry, the incremented array X must contain the n element vector x. On exit, X is overwritten
with the tranformed vector x.

INCX   - INTEGER.
On entry, INCX specifies the increment for the elements of X. INCX must not be zero.  Unchanged on exit.

Level 2 Blas routine.

-- Written on 22-October-1986.  Jack Dongarra, Argonne National Lab.  Jeremy Du Croz, Nag Central Office.  Sven Hammarling, Nag Cen-
tral Office.  Richard Hanson, Sandia National Labs.

BLAS routine							  16 October 1992							  CTRMV(l)```
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