dlangt (l) - Linux Manuals

dlangt: 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 tridiagonal matrix A

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

NAME

DLANGT - 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 tridiagonal matrix A

SYNOPSIS

DOUBLE PRECISION: FUNCTION DLANGT( NORM, N, DL, D, DU )
: CHARACTER NORM
: INTEGER N
: DOUBLE PRECISION D( * ), DL( * ), DU( * )

PURPOSE

DLANGT 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 tridiagonal matrix A.

DESCRIPTION

DLANGT returns the value

DLANGT = ( 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 DLANGT as described above.
N (input) INTEGER: The order of the matrix A. N >= 0. When N = 0, DLANGT is set to zero.
DL (input) DOUBLE PRECISION array, dimension (N-1): The (n-1) sub-diagonal elements of A.
D (input) DOUBLE PRECISION array, dimension (N): The diagonal elements of A.
DU (input) DOUBLE PRECISION array, dimension (N-1): The (n-1) super-diagonal elements of A.