clansp (l) - Linux Manuals

clansp: returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex symmetric matrix A, supplied in packed form

Command to display clansp manual in Linux: $ man l clansp

NAME

CLANSP - returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex symmetric matrix A, supplied in packed form

SYNOPSIS

REAL FUNCTION: CLANSP( NORM, UPLO, N, AP, WORK )
: CHARACTER NORM, UPLO
: INTEGER N
: REAL WORK( * )
: COMPLEX AP( * )

PURPOSE

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

DESCRIPTION

CLANSP returns the value

CLANSP = ( max(abs(A(i,j))), NORM = aqMaq or aqmaq

      (

      ( norm1(A),         NORM = aq1aq, aqOaq or aqoaq

      (

      ( normI(A),         NORM = aqIaq or aqiaq

      (

      ( normF(A),         NORM = aqFaq, aqfaq, aqEaq or aqeaq 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 CLANSP as described above.
UPLO (input) CHARACTER*1: Specifies whether the upper or lower triangular part of the symmetric matrix A is supplied. = aqUaq: Upper triangular part of A is supplied
= aqLaq: Lower triangular part of A is supplied
N (input) INTEGER: The order of the matrix A. N >= 0. When N = 0, CLANSP is set to zero.
AP (input) COMPLEX 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 = aqUaq, AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j; if UPLO = aqLaq, AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.
WORK (workspace) REAL array, dimension (MAX(1,LWORK)),: where LWORK >= N when NORM = aqIaq or aq1aq or aqOaq; otherwise, WORK is not referenced.