clanht (l) - Linux Manuals

clanht: 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 Hermitian tridiagonal matrix A

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

NAME

CLANHT - 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 Hermitian tridiagonal matrix A

SYNOPSIS

REAL FUNCTION: CLANHT( NORM, N, D, E )
: CHARACTER NORM
: INTEGER N
: REAL D( * )
: COMPLEX E( * )

PURPOSE

CLANHT 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 Hermitian tridiagonal matrix A.

DESCRIPTION

CLANHT returns the value

CLANHT = ( 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 CLANHT as described above.
N (input) INTEGER: The order of the matrix A. N >= 0. When N = 0, CLANHT is set to zero.
D (input) REAL array, dimension (N): The diagonal elements of A.
E (input) COMPLEX array, dimension (N-1): The (n-1) sub-diagonal or super-diagonal elements of A.