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/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/dlapll.f(3) Library Functions Manual /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/dlapll.f(3)

NAME

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/dlapll.f

SYNOPSIS

Functions/Subroutines


subroutine DLAPLL (n, x, incx, y, incy, ssmin)
DLAPLL measures the linear dependence of two vectors.

Function/Subroutine Documentation

subroutine DLAPLL (integer n, double precision, dimension( * ) x, integer incx, double precision, dimension( * ) y, integer incy, double precision ssmin)

DLAPLL measures the linear dependence of two vectors.

Purpose:

!>
!> Given two column vectors X and Y, let
!>
!>                      A = ( X Y ).
!>
!> The subroutine first computes the QR factorization of A = Q*R,
!> and then computes the SVD of the 2-by-2 upper triangular matrix R.
!> The smaller singular value of R is returned in SSMIN, which is used
!> as the measurement of the linear dependency of the vectors X and Y.
!>

Parameters

N 

!>          N is INTEGER
!>          The length of the vectors X and Y.
!>

X

!>          X is DOUBLE PRECISION array,
!>                         dimension (1+(N-1)*INCX)
!>          On entry, X contains the N-vector X.
!>          On exit, X is overwritten.
!>

INCX

!>          INCX is INTEGER
!>          The increment between successive elements of X. INCX > 0.
!>

Y

!>          Y is DOUBLE PRECISION array,
!>                         dimension (1+(N-1)*INCY)
!>          On entry, Y contains the N-vector Y.
!>          On exit, Y is overwritten.
!>

INCY

!>          INCY is INTEGER
!>          The increment between successive elements of Y. INCY > 0.
!>

SSMIN

!>          SSMIN is DOUBLE PRECISION
!>          The smallest singular value of the N-by-2 matrix A = ( X Y ).
!>

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 101 of file dlapll.f.

Author

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Version 3.12.0 LAPACK