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

.in +1c
.ti -1c
.RI "double precision function \fBzlantb\fP (norm, uplo, diag, n, k, ab, ldab, work)"
.br
.RI "\fBZLANTB\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 triangular band matrix\&. "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "double precision function zlantb (character norm, character uplo, character diag, integer n, integer k, complex*16, dimension( ldab, * ) ab, integer ldab, double precision, dimension( * ) work)"

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\fBZLANTB\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 triangular band matrix\&.  
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\fBPurpose:\fP
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.nf
!>
!> ZLANTB  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 triangular band matrix A,  with ( k + 1 ) diagonals\&.
!> 
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.RE
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\fBReturns\fP
.RS 4
ZLANTB 
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!>
!>    ZLANTB = ( 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\&.
!> 
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.PP
 
.RE
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\fBParameters\fP
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\fINORM\fP 
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!>          NORM is CHARACTER*1
!>          Specifies the value to be returned in ZLANTB as described
!>          above\&.
!> 
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\fIUPLO\fP 
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!>          UPLO is CHARACTER*1
!>          Specifies whether the matrix A is upper or lower triangular\&.
!>          = 'U':  Upper triangular
!>          = 'L':  Lower triangular
!> 
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\fIDIAG\fP 
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!>          DIAG is CHARACTER*1
!>          Specifies whether or not the matrix A is unit triangular\&.
!>          = 'N':  Non-unit triangular
!>          = 'U':  Unit 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, ZLANTB is
!>          set to zero\&.
!> 
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\fIK\fP 
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!>          K is INTEGER
!>          The number of super-diagonals of the matrix A if UPLO = 'U',
!>          or the number of sub-diagonals of the matrix A if UPLO = 'L'\&.
!>          K >= 0\&.
!> 
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.br
\fIAB\fP 
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!>          AB is COMPLEX*16 array, dimension (LDAB,N)
!>          The upper or lower triangular 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 when DIAG = 'U', the elements of the array AB
!>          corresponding to the diagonal elements of the matrix A are
!>          not referenced, but are assumed to be one\&.
!> 
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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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\fIWORK\fP 
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!>          WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK)),
!>          where LWORK >= N when NORM = 'I'; 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
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Definition at line \fB139\fP of file \fBzlantb\&.f\fP\&.
.SH "Author"
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Generated automatically by Doxygen for LAPACK from the source code\&.