.TH "SRC/slapll.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
SRC/slapll.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

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.ti -1c
.RI "subroutine \fBslapll\fP (n, x, incx, y, incy, ssmin)"
.br
.RI "\fBSLAPLL\fP measures the linear dependence of two vectors\&. "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine slapll (integer n, real, dimension( * ) x, integer incx, real, dimension( * ) y, integer incy, real ssmin)"

.PP
\fBSLAPLL\fP measures the linear dependence of two vectors\&.  
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\fBPurpose:\fP
.RS 4

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.nf
!>
!> 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\&.
!> 
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIN\fP 
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!>          N is INTEGER
!>          The length of the vectors X and Y\&.
!> 
.fi
.PP
.br
\fIX\fP 
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.nf
!>          X is REAL array,
!>                         dimension (1+(N-1)*INCX)
!>          On entry, X contains the N-vector X\&.
!>          On exit, X is overwritten\&.
!> 
.fi
.PP
.br
\fIINCX\fP 
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!>          INCX is INTEGER
!>          The increment between successive elements of X\&. INCX > 0\&.
!> 
.fi
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.br
\fIY\fP 
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.nf
!>          Y is REAL array,
!>                         dimension (1+(N-1)*INCY)
!>          On entry, Y contains the N-vector Y\&.
!>          On exit, Y is overwritten\&.
!> 
.fi
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.br
\fIINCY\fP 
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!>          INCY is INTEGER
!>          The increment between successive elements of Y\&. INCY > 0\&.
!> 
.fi
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.br
\fISSMIN\fP 
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.nf
!>          SSMIN is REAL
!>          The smallest singular value of the N-by-2 matrix A = ( X Y )\&.
!> 
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 

.PP
Univ\&. of California Berkeley 

.PP
Univ\&. of Colorado Denver 

.PP
NAG Ltd\&. 
.RE
.PP

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Definition at line \fB101\fP of file \fBslapll\&.f\fP\&.
.SH "Author"
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Generated automatically by Doxygen for LAPACK from the source code\&.