.TH "TESTING/LIN/dtrt01.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME TESTING/LIN/dtrt01.f .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBdtrt01\fP (uplo, diag, n, a, lda, ainv, ldainv, rcond, work, resid)" .br .RI "\fBDTRT01\fP " .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine dtrt01 (character uplo, character diag, integer n, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( ldainv, * ) ainv, integer ldainv, double precision rcond, double precision, dimension( * ) work, double precision resid)" .PP \fBDTRT01\fP .PP \fBPurpose:\fP .RS 4 .PP .nf DTRT01 computes the residual for a triangular matrix A times its inverse: RESID = norm( A*AINV - I ) / ( N * norm(A) * norm(AINV) * EPS ), where 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 \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 .PP .nf N is INTEGER The order of the matrix A\&. N >= 0\&. .fi .PP .br \fIA\fP .PP .nf A is DOUBLE PRECISION 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 \fIAINV\fP .PP .nf AINV is DOUBLE PRECISION array, dimension (LDAINV,N) On entry, the (triangular) inverse of the matrix A, in the same storage format as A\&. On exit, the contents of AINV are destroyed\&. .fi .PP .br \fILDAINV\fP .PP .nf LDAINV is INTEGER The leading dimension of the array AINV\&. LDAINV >= max(1,N)\&. .fi .PP .br \fIRCOND\fP .PP .nf RCOND is DOUBLE PRECISION The reciprocal condition number of A, computed as 1/(norm(A) * norm(AINV))\&. .fi .PP .br \fIWORK\fP .PP .nf WORK is DOUBLE PRECISION array, dimension (N) .fi .PP .br \fIRESID\fP .PP .nf RESID is DOUBLE PRECISION norm(A*AINV - I) / ( N * norm(A) * norm(AINV) * EPS ) .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP .PP Definition at line \fB122\fP of file \fBdtrt01\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.