.TH "SRC/zlanhs.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME SRC/zlanhs.f .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "double precision function \fBzlanhs\fP (norm, n, a, lda, work)" .br .RI "\fBZLANHS\fP returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of an upper Hessenberg matrix\&. " .in -1c .SH "Function/Subroutine Documentation" .PP .SS "double precision function zlanhs (character norm, integer n, complex*16, dimension( lda, * ) a, integer lda, double precision, dimension( * ) work)" .PP \fBZLANHS\fP returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of an upper Hessenberg matrix\&. .PP \fBPurpose:\fP .RS 4 .PP .nf !> !> ZLANHS returns the value of the one norm, or the Frobenius norm, or !> the infinity norm, or the element of largest absolute value of a !> Hessenberg matrix A\&. !> .fi .PP .RE .PP \fBReturns\fP .RS 4 ZLANHS .PP .nf !> !> ZLANHS = ( max(abs(A(i,j))), NORM = 'M' or 'm' !> ( !> ( norm1(A), NORM = '1', 'O' or 'o' !> ( !> ( normI(A), NORM = 'I' or 'i' !> ( !> ( normF(A), NORM = 'F', 'f', 'E' or 'e' !> !> where norm1 denotes the one norm of a matrix (maximum column sum), !> normI denotes the infinity norm of a matrix (maximum row sum) and !> normF denotes the Frobenius norm of a matrix (square root of sum of !> squares)\&. Note that max(abs(A(i,j))) is not a consistent matrix norm\&. !> .fi .PP .RE .PP \fBParameters\fP .RS 4 \fINORM\fP .PP .nf !> NORM is CHARACTER*1 !> Specifies the value to be returned in ZLANHS as described !> above\&. !> .fi .PP .br \fIN\fP .PP .nf !> N is INTEGER !> The order of the matrix A\&. N >= 0\&. When N = 0, ZLANHS is !> set to zero\&. !> .fi .PP .br \fIA\fP .PP .nf !> A is COMPLEX*16 array, dimension (LDA,N) !> The n by n upper Hessenberg matrix A; the part of A below the !> first sub-diagonal is not referenced\&. !> .fi .PP .br \fILDA\fP .PP .nf !> LDA is INTEGER !> The leading dimension of the array A\&. LDA >= max(N,1)\&. !> .fi .PP .br \fIWORK\fP .PP .nf !> WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK)), !> where LWORK >= N when NORM = 'I'; otherwise, WORK is not !> referenced\&. !> .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 \fB108\fP of file \fBzlanhs\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.