slacon.f(3) [debian man page]

slacon.f(3)							      LAPACK							       slacon.f(3)

NAME

       slacon.f -

SYNOPSIS

   Functions/Subroutines
       subroutine slacon (N, V, X, ISGN, EST, KASE)
	   SLACON

Function/Subroutine Documentation
   subroutine slacon (integerN, real, dimension( * )V, real, dimension( * )X, integer, dimension( * )ISGN, realEST, integerKASE)
       SLACON

       Purpose:

	    SLACON estimates the 1-norm of a square, real matrix A.
	    Reverse communication is used for evaluating matrix-vector products.

       Parameters:
	   N

		     N is INTEGER
		    The order of the matrix.  N >= 1.

	   V

		     V is REAL array, dimension (N)
		    On the final return, V = A*W,  where  EST = norm(V)/norm(W)
		    (W is not returned).

	   X

		     X is REAL array, dimension (N)
		    On an intermediate return, X should be overwritten by
			  A * X,   if KASE=1,
			  A**T * X,  if KASE=2,
		    and SLACON must be re-called with all the other parameters
		    unchanged.

	   ISGN

		     ISGN is INTEGER array, dimension (N)

	   EST

		     EST is REAL
		    On entry with KASE = 1 or 2 and JUMP = 3, EST should be
		    unchanged from the previous call to SLACON.
		    On exit, EST is an estimate (a lower bound) for norm(A).

	   KASE

		     KASE is INTEGER
		    On the initial call to SLACON, KASE should be 0.
		    On an intermediate return, KASE will be 1 or 2, indicating
		    whether X should be overwritten by A * X  or A**T * X.
		    On the final return from SLACON, KASE will again be 0.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2011

       Contributors:
	   Nick Higham, University of Manchester.
	    Originally named SONEST, dated March 16, 1988.

       References:
	   N.J. Higham, 'FORTRAN codes for estimating the one-norm of
	     a real or complex matrix, with applications to condition estimation', ACM Trans. Math. Soft., vol. 14, no. 4, pp. 381-396, December
	   1988.

       Definition at line 116 of file slacon.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.1							  Sun May 26 2013						       slacon.f(3)

slacn2.f(3)							      LAPACK							       slacn2.f(3)

NAME

       slacn2.f -

SYNOPSIS

   Functions/Subroutines
       subroutine slacn2 (N, V, X, ISGN, EST, KASE, ISAVE)
	   SLACN2 estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products.

Function/Subroutine Documentation
   subroutine slacn2 (integerN, real, dimension( * )V, real, dimension( * )X, integer, dimension( * )ISGN, realEST, integerKASE, integer,
       dimension( 3 )ISAVE)
       SLACN2 estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products.

       Purpose:

	    SLACN2 estimates the 1-norm of a square, real matrix A.
	    Reverse communication is used for evaluating matrix-vector products.

       Parameters:
	   N

		     N is INTEGER
		    The order of the matrix.  N >= 1.

	   V

		     V is REAL array, dimension (N)
		    On the final return, V = A*W,  where  EST = norm(V)/norm(W)
		    (W is not returned).

	   X

		     X is REAL array, dimension (N)
		    On an intermediate return, X should be overwritten by
			  A * X,   if KASE=1,
			  A**T * X,  if KASE=2,
		    and SLACN2 must be re-called with all the other parameters
		    unchanged.

	   ISGN

		     ISGN is INTEGER array, dimension (N)

	   EST

		     EST is REAL
		    On entry with KASE = 1 or 2 and ISAVE(1) = 3, EST should be
		    unchanged from the previous call to SLACN2.
		    On exit, EST is an estimate (a lower bound) for norm(A).

	   KASE

		     KASE is INTEGER
		    On the initial call to SLACN2, KASE should be 0.
		    On an intermediate return, KASE will be 1 or 2, indicating
		    whether X should be overwritten by A * X  or A**T * X.
		    On the final return from SLACN2, KASE will again be 0.

	   ISAVE

		     ISAVE is INTEGER array, dimension (3)
		    ISAVE is used to save variables between calls to SLACN2

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Further Details:

	     Originally named SONEST, dated March 16, 1988.

	     This is a thread safe version of SLACON, which uses the array ISAVE
	     in place of a SAVE statement, as follows:

		SLACON	   SLACN2
		 JUMP	  ISAVE(1)
		 J	  ISAVE(2)
		 ITER	  ISAVE(3)

       Contributors:
	   Nick Higham, University of Manchester

       References:
	   N.J. Higham, 'FORTRAN codes for estimating the one-norm of
	     a real or complex matrix, with applications to condition estimation', ACM Trans. Math. Soft., vol. 14, no. 4, pp. 381-396, December
	   1988.

       Definition at line 137 of file slacn2.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       slacn2.f(3)