zlanhe(l) [redhat man page]

ZLANHE(l)								 )								 ZLANHE(l)

NAME

       ZLANHE  - return the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a com-
       plex hermitian matrix A

SYNOPSIS

       DOUBLE PRECISION FUNCTION ZLANHE( NORM, UPLO, N, A, LDA, WORK )

	   CHARACTER	NORM, UPLO

	   INTEGER	LDA, N

	   DOUBLE	PRECISION WORK( * )

	   COMPLEX*16	A( LDA, * )

PURPOSE

       ZLANHE returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of  a  com-
       plex hermitian matrix A.

DESCRIPTION

       ZLANHE returns the value

	  ZLANHE = ( 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  matrix norm.

ARGUMENTS

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

       UPLO    (input) CHARACTER*1
	       Specifies whether the upper or lower triangular part of the hermitian matrix A is to be referenced.  = 'U':  Upper triangular  part
	       of A is referenced
	       = 'L':  Lower triangular part of A is referenced

       N       (input) INTEGER
	       The order of the matrix A.  N >= 0.  When N = 0, ZLANHE is set to zero.

       A       (input) COMPLEX*16 array, dimension (LDA,N)
	       The  hermitian  matrix  A.   If UPLO = 'U', the leading n by n upper triangular part of A contains the upper triangular part of the
	       matrix A, and the strictly lower triangular part of A is not referenced.  If UPLO = 'L', the leading n by n lower  triangular  part
	       of  A  contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. Note that
	       the imaginary parts of the diagonal elements need not be set and are assumed to be zero.

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

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

LAPACK version 3.0						   15 June 2000 							 ZLANHE(l)

Check Out this Related Man Page

CLANSY(l)								 )								 CLANSY(l)

NAME

       CLANSY  - return the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a com-
       plex symmetric matrix A

SYNOPSIS

       REAL FUNCTION CLANSY( NORM, UPLO, N, A, LDA, WORK )

	   CHARACTER NORM, UPLO

	   INTEGER   LDA, N

	   REAL      WORK( * )

	   COMPLEX   A( LDA, * )

PURPOSE

       CLANSY returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of  a  com-
       plex symmetric matrix A.

DESCRIPTION

       CLANSY returns the value

	  CLANSY = ( 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  matrix norm.

ARGUMENTS

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

       UPLO    (input) CHARACTER*1
	       Specifies whether the upper or lower triangular part of the symmetric matrix A is to be referenced.  = 'U':  Upper triangular  part
	       of A is referenced
	       = 'L':  Lower triangular part of A is referenced

       N       (input) INTEGER
	       The order of the matrix A.  N >= 0.  When N = 0, CLANSY is set to zero.

       A       (input) COMPLEX array, dimension (LDA,N)
	       The  symmetric  matrix  A.   If UPLO = 'U', the leading n by n upper triangular part of A contains the upper triangular part of the
	       matrix A, and the strictly lower triangular part of A is not referenced.  If UPLO = 'L', the leading n by n lower  triangular  part
	       of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced.

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

       WORK    (workspace) REAL array, dimension (LWORK),
	       where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise, WORK is not referenced.

LAPACK version 3.0						   15 June 2000 							 CLANSY(l)

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