.TH "SRC/zlanhb.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
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.SH NAME
SRC/zlanhb.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "double precision function \fBzlanhb\fP (norm, uplo, n, k, ab, ldab, work)"
.br
.RI "\fBZLANHB\fP returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a Hermitian band matrix\&. "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "double precision function zlanhb (character norm, character uplo, integer n, integer k, complex*16, dimension( ldab, * ) ab, integer ldab, double precision, dimension( * ) work)"

.PP
\fBZLANHB\fP returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a Hermitian band matrix\&.  
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\fBPurpose:\fP
.RS 4

.PP
.nf
 ZLANHB  returns the value of the one norm,  or the Frobenius norm, or
 the  infinity norm,  or the element of  largest absolute value  of an
 n by n hermitian band matrix A,  with k super-diagonals\&.
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.RE
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\fBReturns\fP
.RS 4
ZLANHB 
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.nf
    ZLANHB = ( 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
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\fBParameters\fP
.RS 4
\fINORM\fP 
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          NORM is CHARACTER*1
          Specifies the value to be returned in ZLANHB as described
          above\&.
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\fIUPLO\fP 
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          UPLO is CHARACTER*1
          Specifies whether the upper or lower triangular part of the
          band matrix A is supplied\&.
          = 'U':  Upper triangular
          = 'L':  Lower triangular
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\fIN\fP 
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          N is INTEGER
          The order of the matrix A\&.  N >= 0\&.  When N = 0, ZLANHB is
          set to zero\&.
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\fIK\fP 
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          K is INTEGER
          The number of super-diagonals or sub-diagonals of the
          band matrix A\&.  K >= 0\&.
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\fIAB\fP 
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          AB is COMPLEX*16 array, dimension (LDAB,N)
          The upper or lower triangle of the hermitian band matrix A,
          stored in the first K+1 rows of AB\&.  The j-th column of A is
          stored in the j-th column of the array AB as follows:
          if UPLO = 'U', AB(k+1+i-j,j) = A(i,j) for max(1,j-k)<=i<=j;
          if UPLO = 'L', AB(1+i-j,j)   = A(i,j) for j<=i<=min(n,j+k)\&.
          Note that the imaginary parts of the diagonal elements need
          not be set and are assumed to be zero\&.
.fi
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\fILDAB\fP 
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          LDAB is INTEGER
          The leading dimension of the array AB\&.  LDAB >= K+1\&.
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.br
\fIWORK\fP 
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          WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK)),
          where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise,
          WORK is not referenced\&.
.fi
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.RE
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\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
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Univ\&. of California Berkeley 
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Univ\&. of Colorado Denver 
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NAG Ltd\&. 
.RE
.PP

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Definition at line \fB130\fP of file \fBzlanhb\&.f\fP\&.
.SH "Author"
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Generated automatically by Doxygen for LAPACK from the source code\&.