Provided by: liblapack-doc_3.3.1-1_all bug

NAME

       LAPACK-3 - 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

SYNOPSIS

       DOUBLE PRECISION FUNCTION ZLANTR( NORM, UPLO, DIAG, M, N, A, LDA, WORK )

           CHARACTER    DIAG, NORM, UPLO

           INTEGER      LDA, M, N

           DOUBLE       PRECISION WORK( * )

           COMPLEX*16   A( LDA, * )

PURPOSE

       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.

DESCRIPTION

        ZLANTR returns the value
           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.

ARGUMENTS

        NORM    (input) CHARACTER*1
                Specifies the value to be returned in ZLANTR as described
                above.

        UPLO    (input) 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.

        DIAG    (input) CHARACTER*1
                Specifies whether or not the matrix A has unit diagonal.
                = 'N':  Non-unit diagonal
                = 'U':  Unit diagonal

        M       (input) 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.

        N       (input) 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.

        A       (input) 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.

        LDA     (input) INTEGER
                The leading dimension of the array A.  LDA >= max(M,1).

        WORK    (workspace) DOUBLE PRECISION array, dimension (MAX(1,LWORK)),
                where LWORK >= M when NORM = 'I'; otherwise, WORK is not
                referenced.

 LAPACK auxiliary routine (version 3.2)     April 2011                            ZLANTR(3lapack)