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 ztrsv.f(3) LAPACK ztrsv.f(3)

ztrsv.f -

# SYNOPSIS

## Functions/Subroutines

subroutine ztrsv (UPLO, TRANS, DIAG, N, A, LDA, X, INCX)

ZTRSV

# Function/Subroutine Documentation

## subroutine ztrsv (characterUPLO, characterTRANS, characterDIAG, integerN, complex*16, dimension(lda,*)A, integerLDA, complex*16, dimension(*)X, integerINCX)

ZTRSV Purpose:
``` ZTRSV  solves one of the systems of equations

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

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

No test for singularity or near-singularity is included in this
routine. Such tests must be performed before calling this routine.
```
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 equations to be solved as
follows:

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

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

TRANS = 'C' or 'c'   A**H*x = b.
```
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*16 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*16 array of dimension at least
( 1 + ( n - 1 )*abs( INCX ) ).
Before entry, the incremented array X must contain the n
element right-hand side vector b. On exit, X is overwritten
with the solution 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.

-- 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 150 of file ztrsv.f.

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