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sgbbrd.f(3)				      LAPACK				      sgbbrd.f(3)

NAME
       sgbbrd.f -

SYNOPSIS
   Functions/Subroutines
       subroutine sgbbrd (VECT, M, N, NCC, KL, KU, AB, LDAB, D, E, Q, LDQ, PT, LDPT, C, LDC,
	   WORK, INFO)
	   SGBBRD

Function/Subroutine Documentation
   subroutine sgbbrd (characterVECT, integerM, integerN, integerNCC, integerKL, integerKU, real,
       dimension( ldab, * )AB, integerLDAB, real, dimension( * )D, real, dimension( * )E, real,
       dimension( ldq, * )Q, integerLDQ, real, dimension( ldpt, * )PT, integerLDPT, real,
       dimension( ldc, * )C, integerLDC, real, dimension( * )WORK, integerINFO)
       SGBBRD

       Purpose:

	    SGBBRD reduces a real general m-by-n band matrix A to upper
	    bidiagonal form B by an orthogonal transformation: Q**T * A * P = B.

	    The routine computes B, and optionally forms Q or P**T, or computes
	    Q**T*C for a given matrix C.

       Parameters:
	   VECT

		     VECT is CHARACTER*1
		     Specifies whether or not the matrices Q and P**T are to be
		     formed.
		     = 'N': do not form Q or P**T;
		     = 'Q': form Q only;
		     = 'P': form P**T only;
		     = 'B': form both.

	   M

		     M is INTEGER
		     The number of rows of the matrix A.  M >= 0.

	   N

		     N is INTEGER
		     The number of columns of the matrix A.  N >= 0.

	   NCC

		     NCC is INTEGER
		     The number of columns of the matrix C.  NCC >= 0.

	   KL

		     KL is INTEGER
		     The number of subdiagonals of the matrix A. KL >= 0.

	   KU

		     KU is INTEGER
		     The number of superdiagonals of the matrix A. KU >= 0.

	   AB

		     AB is REAL array, dimension (LDAB,N)
		     On entry, the m-by-n band matrix A, stored in rows 1 to
		     KL+KU+1. The j-th column of A is stored in the j-th column of
		     the array AB as follows:
		     AB(ku+1+i-j,j) = A(i,j) for max(1,j-ku)<=i<=min(m,j+kl).
		     On exit, A is overwritten by values generated during the
		     reduction.

	   LDAB

		     LDAB is INTEGER
		     The leading dimension of the array A. LDAB >= KL+KU+1.

	   D

		     D is REAL array, dimension (min(M,N))
		     The diagonal elements of the bidiagonal matrix B.

	   E

		     E is REAL array, dimension (min(M,N)-1)
		     The superdiagonal elements of the bidiagonal matrix B.

	   Q

		     Q is REAL array, dimension (LDQ,M)
		     If VECT = 'Q' or 'B', the m-by-m orthogonal matrix Q.
		     If VECT = 'N' or 'P', the array Q is not referenced.

	   LDQ

		     LDQ is INTEGER
		     The leading dimension of the array Q.
		     LDQ >= max(1,M) if VECT = 'Q' or 'B'; LDQ >= 1 otherwise.

	   PT

		     PT is REAL array, dimension (LDPT,N)
		     If VECT = 'P' or 'B', the n-by-n orthogonal matrix P'.
		     If VECT = 'N' or 'Q', the array PT is not referenced.

	   LDPT

		     LDPT is INTEGER
		     The leading dimension of the array PT.
		     LDPT >= max(1,N) if VECT = 'P' or 'B'; LDPT >= 1 otherwise.

	   C

		     C is REAL array, dimension (LDC,NCC)
		     On entry, an m-by-ncc matrix C.
		     On exit, C is overwritten by Q**T*C.
		     C is not referenced if NCC = 0.

	   LDC

		     LDC is INTEGER
		     The leading dimension of the array C.
		     LDC >= max(1,M) if NCC > 0; LDC >= 1 if NCC = 0.

	   WORK

		     WORK is REAL array, dimension (2*max(M,N))

	   INFO

		     INFO is INTEGER
		     = 0:  successful exit.
		     < 0:  if INFO = -i, the i-th argument had an illegal value.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2011

       Definition at line 187 of file sgbbrd.f.

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

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