slansp(l) [redhat man page]

SLANSP(l)								 )								 SLANSP(l)

NAME

       SLANSP  - return the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real
       symmetric matrix A, supplied in packed form

SYNOPSIS

       REAL FUNCTION SLANSP( NORM, UPLO, N, AP, WORK )

	   CHARACTER NORM, UPLO

	   INTEGER   N

	   REAL      AP( * ), WORK( * )

PURPOSE

       SLANSP returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of  a  real
       symmetric matrix A, supplied in packed form.

DESCRIPTION

       SLANSP returns the value

	  SLANSP = ( 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 SLANSP as described above.

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

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

       AP      (input) REAL array, dimension (N*(N+1)/2)
	       The  upper or lower triangle of the symmetric matrix A, packed columnwise in a linear array.  The j-th column of A is stored in the
	       array AP as follows: if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j; if UPLO = 'L', AP(i	+  (j-1)*(2n-j)/2)  =  A(i,j)  for
	       j<=i<=n.

       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 							 SLANSP(l)

CLANHP(l)								 )								 CLANHP(l)

NAME

       CLANHP  - 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, supplied in packed form

SYNOPSIS

       REAL FUNCTION CLANHP( NORM, UPLO, N, AP, WORK )

	   CHARACTER NORM, UPLO

	   INTEGER   N

	   REAL      WORK( * )

	   COMPLEX   AP( * )

PURPOSE

       CLANHP 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, supplied in packed form.

DESCRIPTION

       CLANHP returns the value

	  CLANHP = ( 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 CLANHP as described above.

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

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

       AP      (input) COMPLEX array, dimension (N*(N+1)/2)
	       The  upper or lower triangle of the hermitian matrix A, packed columnwise in a linear array.  The j-th column of A is stored in the
	       array AP as follows: if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j; if UPLO = 'L', AP(i	+  (j-1)*(2n-j)/2)  =  A(i,j)  for
	       j<=i<=n.  Note that the	imaginary parts of the diagonal elements need not be set and are assumed to be zero.

       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 							 CLANHP(l)