.TH "las2" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
las2 \- las2: 2x2 triangular SVD
.SH SYNOPSIS
.br
.PP
.SS "Functions"

.in +1c
.ti -1c
.RI "subroutine \fBdlas2\fP (f, g, h, ssmin, ssmax)"
.br
.RI "\fBDLAS2\fP computes singular values of a 2-by-2 triangular matrix\&. "
.ti -1c
.RI "subroutine \fBslas2\fP (f, g, h, ssmin, ssmax)"
.br
.RI "\fBSLAS2\fP computes singular values of a 2-by-2 triangular matrix\&. "
.in -1c
.SH "Detailed Description"
.PP 

.SH "Function Documentation"
.PP 
.SS "subroutine dlas2 (double precision f, double precision g, double precision h, double precision ssmin, double precision ssmax)"

.PP
\fBDLAS2\fP computes singular values of a 2-by-2 triangular matrix\&.  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
!>
!> DLAS2  computes the singular values of the 2-by-2 matrix
!>    [  F   G  ]
!>    [  0   H  ]\&.
!> On return, SSMIN is the smaller singular value and SSMAX is the
!> larger singular value\&.
!> 
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIF\fP 
.PP
.nf
!>          F is DOUBLE PRECISION
!>          The (1,1) element of the 2-by-2 matrix\&.
!> 
.fi
.PP
.br
\fIG\fP 
.PP
.nf
!>          G is DOUBLE PRECISION
!>          The (1,2) element of the 2-by-2 matrix\&.
!> 
.fi
.PP
.br
\fIH\fP 
.PP
.nf
!>          H is DOUBLE PRECISION
!>          The (2,2) element of the 2-by-2 matrix\&.
!> 
.fi
.PP
.br
\fISSMIN\fP 
.PP
.nf
!>          SSMIN is DOUBLE PRECISION
!>          The smaller singular value\&.
!> 
.fi
.PP
.br
\fISSMAX\fP 
.PP
.nf
!>          SSMAX is DOUBLE PRECISION
!>          The larger singular value\&.
!> 
.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
\fBFurther Details:\fP
.RS 4

.PP
.nf
!>
!>  Barring over/underflow, all output quantities are correct to within
!>  a few units in the last place (ulps), even in the absence of a guard
!>  digit in addition/subtraction\&.
!>
!>  In IEEE arithmetic, the code works correctly if one matrix element is
!>  infinite\&.
!>
!>  Overflow will not occur unless the largest singular value itself
!>  overflows, or is within a few ulps of overflow\&.
!>
!>  Underflow is harmless if underflow is gradual\&. Otherwise, results
!>  may correspond to a matrix modified by perturbations of size near
!>  the underflow threshold\&.
!> 
.fi
.PP
 
.RE
.PP

.PP
Definition at line \fB104\fP of file \fBdlas2\&.f\fP\&.
.SS "subroutine slas2 (real f, real g, real h, real ssmin, real ssmax)"

.PP
\fBSLAS2\fP computes singular values of a 2-by-2 triangular matrix\&.  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
!>
!> SLAS2  computes the singular values of the 2-by-2 matrix
!>    [  F   G  ]
!>    [  0   H  ]\&.
!> On return, SSMIN is the smaller singular value and SSMAX is the
!> larger singular value\&.
!> 
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIF\fP 
.PP
.nf
!>          F is REAL
!>          The (1,1) element of the 2-by-2 matrix\&.
!> 
.fi
.PP
.br
\fIG\fP 
.PP
.nf
!>          G is REAL
!>          The (1,2) element of the 2-by-2 matrix\&.
!> 
.fi
.PP
.br
\fIH\fP 
.PP
.nf
!>          H is REAL
!>          The (2,2) element of the 2-by-2 matrix\&.
!> 
.fi
.PP
.br
\fISSMIN\fP 
.PP
.nf
!>          SSMIN is REAL
!>          The smaller singular value\&.
!> 
.fi
.PP
.br
\fISSMAX\fP 
.PP
.nf
!>          SSMAX is REAL
!>          The larger singular value\&.
!> 
.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
\fBFurther Details:\fP
.RS 4

.PP
.nf
!>
!>  Barring over/underflow, all output quantities are correct to within
!>  a few units in the last place (ulps), even in the absence of a guard
!>  digit in addition/subtraction\&.
!>
!>  In IEEE arithmetic, the code works correctly if one matrix element is
!>  infinite\&.
!>
!>  Overflow will not occur unless the largest singular value itself
!>  overflows, or is within a few ulps of overflow\&.
!>
!>  Underflow is harmless if underflow is gradual\&. Otherwise, results
!>  may correspond to a matrix modified by perturbations of size near
!>  the underflow threshold\&.
!> 
.fi
.PP
 
.RE
.PP

.PP
Definition at line \fB104\fP of file \fBslas2\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.