.TH "zlanhs.f" 3 "Sun May 26 2013" "Version 3.4.1" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME 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 "\fI\fBZLANHS\fP \fP" .in -1c .SH "Function/Subroutine Documentation" .PP .SS "DOUBLE PRECISION function zlanhs (characterNORM, integerN, complex*16, dimension( lda, * )A, integerLDA, double precision, dimension( * )WORK)" .PP \fBZLANHS\fP .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 \fBDate:\fP .RS 4 November 2011 .RE .PP .PP Definition at line 110 of file zlanhs\&.f\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.