.Modelica_LinearSystems2.Math.Matrices.LAPACK.dlange

Information

Lapack documentation:

   Purpose
   =======

   DLANGE  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 matrix A.

   Description
   ===========

   DLANGE returns the value

      DLANGE = ( 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 consistent matrix norm.

   Arguments
   =========

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

   M       (input) INTEGER
           The number of rows of the matrix A.  M >= 0.  When M = 0,
           DLANGE is set to zero.

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

   A       (input) DOUBLE PRECISION array, dimension (LDA,N)
           The m by n matrix A.

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

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

   =====================================================================

Interface

function dlange
  input Real A[:, :] "Real matrix A";
  input String norm = "1" "specifies the norm, i.e. 1, I, F, M";
  output Real anorm "norm of A";
end dlange;