# slapll.f(3) [centos man page]

```slapll.f(3)							      LAPACK							       slapll.f(3)

NAME
slapll.f -

SYNOPSIS
Functions/Subroutines
subroutine slapll (N, X, INCX, Y, INCY, SSMIN)
SLAPLL measures the linear dependence of two vectors.

Function/Subroutine Documentation
subroutine slapll (integerN, real, dimension( * )X, integerINCX, real, dimension( * )Y, integerINCY, realSSMIN)
SLAPLL 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 REAL 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 REAL 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 REAL
The smallest singular value of the N-by-2 matrix A = ( X Y ).

Author:
Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Date:
September 2012

Definition at line 103 of file slapll.f.

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

Version 3.4.2							  Tue Sep 25 2012						       slapll.f(3)```

## Check Out this Related Man Page

```slapll.f(3)							      LAPACK							       slapll.f(3)

NAME
slapll.f -

SYNOPSIS
Functions/Subroutines
subroutine slapll (N, X, INCX, Y, INCY, SSMIN)
SLAPLL

Function/Subroutine Documentation
subroutine slapll (integerN, real, dimension( * )X, integerINCX, real, dimension( * )Y, integerINCY, realSSMIN)
SLAPLL

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 REAL 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 REAL 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 REAL
The smallest singular value of the N-by-2 matrix A = ( X Y ).

Author:
Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Date:
November 2011

Definition at line 103 of file slapll.f.

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

Version 3.4.1							  Sun May 26 2013						       slapll.f(3)```
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