.TH "TESTING/LIN/ztrt03.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
TESTING/LIN/ztrt03.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBztrt03\fP (uplo, trans, diag, n, nrhs, a, lda, scale, cnorm, tscal, x, ldx, b, ldb, work, resid)"
.br
.RI "\fBZTRT03\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine ztrt03 (character uplo, character trans, character diag, integer n, integer nrhs, complex*16, dimension( lda, * ) a, integer lda, double precision scale, double precision, dimension( * ) cnorm, double precision tscal, complex*16, dimension( ldx, * ) x, integer ldx, complex*16, dimension( ldb, * ) b, integer ldb, complex*16, dimension( * ) work, double precision resid)"

.PP
\fBZTRT03\fP 
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\fBPurpose:\fP
.RS 4

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.nf
!>
!> ZTRT03 computes the residual for the solution to a scaled triangular
!> system of equations A*x = s*b,  A**T *x = s*b,  or  A**H *x = s*b\&.
!> Here A is a triangular matrix, A**T denotes the transpose of A, A**H
!> denotes the conjugate transpose of A, s is a scalar, and x and b are
!> N by NRHS matrices\&.  The test ratio is the maximum over the number of
!> right hand sides of
!>    norm(s*b - op(A)*x) / ( norm(op(A)) * norm(x) * EPS ),
!> where op(A) denotes A, A**T, or A**H, and EPS is the machine epsilon\&.
!> 
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIUPLO\fP 
.PP
.nf
!>          UPLO is CHARACTER*1
!>          Specifies whether the matrix A is upper or lower triangular\&.
!>          = 'U':  Upper triangular
!>          = 'L':  Lower triangular
!> 
.fi
.PP
.br
\fITRANS\fP 
.PP
.nf
!>          TRANS is CHARACTER*1
!>          Specifies the operation applied to A\&.
!>          = 'N':  A *x = s*b     (No transpose)
!>          = 'T':  A**T *x = s*b  (Transpose)
!>          = 'C':  A**H *x = s*b  (Conjugate transpose)
!> 
.fi
.PP
.br
\fIDIAG\fP 
.PP
.nf
!>          DIAG is CHARACTER*1
!>          Specifies whether or not the matrix A is unit triangular\&.
!>          = 'N':  Non-unit triangular
!>          = 'U':  Unit triangular
!> 
.fi
.PP
.br
\fIN\fP 
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.nf
!>          N is INTEGER
!>          The order of the matrix A\&.  N >= 0\&.
!> 
.fi
.PP
.br
\fINRHS\fP 
.PP
.nf
!>          NRHS is INTEGER
!>          The number of right hand sides, i\&.e\&., the number of columns
!>          of the matrices X and B\&.  NRHS >= 0\&.
!> 
.fi
.PP
.br
\fIA\fP 
.PP
.nf
!>          A is COMPLEX*16 array, dimension (LDA,N)
!>          The triangular matrix A\&.  If UPLO = 'U', the leading n by n
!>          upper triangular part of the array A contains the upper
!>          triangular matrix, and the strictly lower triangular part of
!>          A is not referenced\&.  If UPLO = 'L', the leading n by n lower
!>          triangular part of the array A contains the lower triangular
!>          matrix, and the strictly upper triangular part of A is not
!>          referenced\&.  If DIAG = 'U', the diagonal elements of A are
!>          also not referenced and are assumed to be 1\&.
!> 
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
!>          LDA is INTEGER
!>          The leading dimension of the array A\&.  LDA >= max(1,N)\&.
!> 
.fi
.PP
.br
\fISCALE\fP 
.PP
.nf
!>          SCALE is DOUBLE PRECISION
!>          The scaling factor s used in solving the triangular system\&.
!> 
.fi
.PP
.br
\fICNORM\fP 
.PP
.nf
!>          CNORM is DOUBLE PRECISION array, dimension (N)
!>          The 1-norms of the columns of A, not counting the diagonal\&.
!> 
.fi
.PP
.br
\fITSCAL\fP 
.PP
.nf
!>          TSCAL is DOUBLE PRECISION
!>          The scaling factor used in computing the 1-norms in CNORM\&.
!>          CNORM actually contains the column norms of TSCAL*A\&.
!> 
.fi
.PP
.br
\fIX\fP 
.PP
.nf
!>          X is COMPLEX*16 array, dimension (LDX,NRHS)
!>          The computed solution vectors for the system of linear
!>          equations\&.
!> 
.fi
.PP
.br
\fILDX\fP 
.PP
.nf
!>          LDX is INTEGER
!>          The leading dimension of the array X\&.  LDX >= max(1,N)\&.
!> 
.fi
.PP
.br
\fIB\fP 
.PP
.nf
!>          B is COMPLEX*16 array, dimension (LDB,NRHS)
!>          The right hand side vectors for the system of linear
!>          equations\&.
!> 
.fi
.PP
.br
\fILDB\fP 
.PP
.nf
!>          LDB is INTEGER
!>          The leading dimension of the array B\&.  LDB >= max(1,N)\&.
!> 
.fi
.PP
.br
\fIWORK\fP 
.PP
.nf
!>          WORK is COMPLEX*16 array, dimension (N)
!> 
.fi
.PP
.br
\fIRESID\fP 
.PP
.nf
!>          RESID is DOUBLE PRECISION
!>          The maximum over the number of right hand sides of
!>          norm(op(A)*x - s*b) / ( norm(op(A)) * norm(x) * EPS )\&.
!> 
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 

.PP
Univ\&. of California Berkeley 

.PP
Univ\&. of Colorado Denver 

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NAG Ltd\&. 
.RE
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Definition at line \fB169\fP of file \fBztrt03\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.