langs man page on OpenIndiana

langs man page on OpenIndiana

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langs(3P)		    Sun Performance Library		     langs(3P)

NAME
       langs:  clangs,	dlangs, slangs, zlangs - returns the value of the one-
       norm, or the Frobenius-norm, or the infinity-norm, or the element  with
       largest absolute value of a general real matrix A in sparse format.

SYNOPSIS
       #include <sunperf.h>

       float slangs(char *norm, SuperMatrix *A)

       double dlangs(char *norm, SuperMatrix *A)

       float clangs(char *norm, SuperMatrix *A)

       double zlangs(char *norm, SuperMatrix *A)

       float slangs_64(char *norm, SuperMatrix_64 *A)

       double dlangs_64(char *norm, SuperMatrix_64 *A)

       float clangs_64(char *norm, SuperMatrix_64 *A)

       double zlangs_64(char *norm, SuperMatrix_64 *A)

PURPOSE
       langs  returns the value of the one-norm, Frobenius-norm, the infinity-
       norm, or the element with largest absolute  value  of  a	 general  real
       matrix A in sparse format.
       langs returns the value

       norm = 'M' or 'm':	     max(abs(A(i,j)))

       norm = '1', 'O' or 'o':	     norm1(A)

       norm = 'I' or 'i':	     normI(A)

       norm = 'F', 'f', 'E' or 'e':  normF(A)

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
       char *norm (input)
	      Specifies the value to be returned in langs as described above.

       SuperMatrix *A (input/output)
	      A general matrix in  sparse  format  with	 dimensions  (A->nrow,
	      A->ncol).

COPYRIGHT
       Copyright  (c)  2003,  The  Regents  of	the  University of California,
       through Lawrence Berkeley National Laboratory (subject  to  receipt  of
       any required approvals from U.S. Dept. of Energy)

SEE ALSO
       SuperMatrix

       http://crd.lbl.gov/~xiaoye/SuperLU/

       James  W.  Demmel,  Stanley C. Eisenstat, John R. Gilbert, Xiaoye S. Li
       and Joseph W. H. Liu, "A supernodal approach to sparse  partial	pivot‐
       ing",  SIAM J. Matrix Analysis and Applications, Vol. 20, Num. 3, 1999,
       pp. 720-755.

				  6 Mar 2009			     langs(3P)

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