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

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.RI "double precision function \fBzlantr\fP (norm, uplo, diag, m, n, a, lda, work)"
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.RI "\fBZLANTR\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 trapezoidal or triangular matrix\&. "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "double precision function zlantr (character norm, character uplo, character diag, integer m, integer n, complex*16, dimension( lda, * ) a, integer lda, double precision, dimension( * ) work)"

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\fBZLANTR\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 trapezoidal or triangular matrix\&.  
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\fBPurpose:\fP
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.nf
!>
!> ZLANTR  returns the value of the one norm,  or the Frobenius norm, or
!> the  infinity norm,  or the  element of  largest absolute value  of a
!> trapezoidal or triangular matrix A\&.
!> 
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.RE
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\fBReturns\fP
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ZLANTR 
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!>
!>    ZLANTR = ( 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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.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 ZLANTR 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 trapezoidal\&.
!>          = 'U':  Upper trapezoidal
!>          = 'L':  Lower trapezoidal
!>          Note that A is triangular instead of trapezoidal if M = N\&.
!> 
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\fIDIAG\fP 
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!>          DIAG is CHARACTER*1
!>          Specifies whether or not the matrix A has unit diagonal\&.
!>          = 'N':  Non-unit diagonal
!>          = 'U':  Unit diagonal
!> 
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\fIM\fP 
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!>          M is INTEGER
!>          The number of rows of the matrix A\&.  M >= 0, and if
!>          UPLO = 'U', M <= N\&.  When M = 0, ZLANTR is set to zero\&.
!> 
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\fIN\fP 
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!>          N is INTEGER
!>          The number of columns of the matrix A\&.  N >= 0, and if
!>          UPLO = 'L', N <= M\&.  When N = 0, ZLANTR is set to zero\&.
!> 
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\fIA\fP 
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!>          A is COMPLEX*16 array, dimension (LDA,N)
!>          The trapezoidal matrix A (A is triangular if M = N)\&.
!>          If UPLO = 'U', the leading m by n upper trapezoidal part of
!>          the array A contains the upper trapezoidal matrix, and the
!>          strictly lower triangular part of A is not referenced\&.
!>          If UPLO = 'L', the leading m by n lower trapezoidal part of
!>          the array A contains the lower trapezoidal matrix, and the
!>          strictly upper triangular part of A is not referenced\&.  Note
!>          that when DIAG = 'U', the diagonal elements of A are not
!>          referenced and are assumed to be one\&.
!> 
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\fILDA\fP 
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!>          LDA is INTEGER
!>          The leading dimension of the array A\&.  LDA >= max(M,1)\&.
!> 
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\fIWORK\fP 
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!>          WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK)),
!>          where LWORK >= M when NORM = 'I'; otherwise, WORK is not
!>          referenced\&.
!> 
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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 \fB140\fP of file \fBzlantr\&.f\fP\&.
.SH "Author"
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Generated automatically by Doxygen for LAPACK from the source code\&.