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

.in +1c
.ti -1c
.RI "double precision function \fBzlangb\fP (norm, n, kl, ku, ab, ldab, work)"
.br
.RI "\fBZLANGB\fP returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of general band matrix\&. "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "double precision function zlangb (character norm, integer n, integer kl, integer ku, complex*16, dimension( ldab, * ) ab, integer ldab, double precision, dimension( * ) work)"

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

.PP
.nf
!>
!> ZLANGB  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 band matrix  A,  with kl sub-diagonals and ku super-diagonals\&.
!> 
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.RE
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\fBReturns\fP
.RS 4
ZLANGB 
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.nf
!>
!>    ZLANGB = ( 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 ZLANGB as described
!>          above\&.
!> 
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\fIN\fP 
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.nf
!>          N is INTEGER
!>          The order of the matrix A\&.  N >= 0\&.  When N = 0, ZLANGB is
!>          set to zero\&.
!> 
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.PP
.br
\fIKL\fP 
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!>          KL is INTEGER
!>          The number of sub-diagonals of the matrix A\&.  KL >= 0\&.
!> 
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\fIKU\fP 
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.nf
!>          KU is INTEGER
!>          The number of super-diagonals of the matrix A\&.  KU >= 0\&.
!> 
.fi
.PP
.br
\fIAB\fP 
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!>          AB is COMPLEX*16 array, dimension (LDAB,N)
!>          The band matrix A, stored in rows 1 to KL+KU+1\&.  The j-th
!>          column of A is stored in the j-th column of the array AB as
!>          follows:
!>          AB(ku+1+i-j,j) = A(i,j) for max(1,j-ku)<=i<=min(n,j+kl)\&.
!> 
.fi
.PP
.br
\fILDAB\fP 
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.nf
!>          LDAB is INTEGER
!>          The leading dimension of the array AB\&.  LDAB >= KL+KU+1\&.
!> 
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.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
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\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 

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Univ\&. of California Berkeley 

.PP
Univ\&. of Colorado Denver 

.PP
NAG Ltd\&. 
.RE
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Definition at line \fB123\fP of file \fBzlangb\&.f\fP\&.
.SH "Author"
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Generated automatically by Doxygen for LAPACK from the source code\&.