# dlasv2(3) [centos man page]

```dlasv2.f(3)							      LAPACK							       dlasv2.f(3)

NAME
dlasv2.f -

SYNOPSIS
Functions/Subroutines
subroutine dlasv2 (F, G, H, SSMIN, SSMAX, SNR, CSR, SNL, CSL)
DLASV2 computes the singular value decomposition of a 2-by-2 triangular matrix.

Function/Subroutine Documentation
subroutine dlasv2 (double precisionF, double precisionG, double precisionH, double precisionSSMIN, double precisionSSMAX, double precisionSNR,
double precisionCSR, double precisionSNL, double precisionCSL)
DLASV2 computes the singular value decomposition of a 2-by-2 triangular matrix.

Purpose:

DLASV2 computes the singular value decomposition of a 2-by-2
triangular matrix
[  F   G  ]
[  0   H  ].
On return, abs(SSMAX) is the larger singular value, abs(SSMIN) is the
smaller singular value, and (CSL,SNL) and (CSR,SNR) are the left and
right singular vectors for abs(SSMAX), giving the decomposition

[ CSL  SNL ] [  F   G  ] [ CSR -SNR ]  =  [ SSMAX   0   ]
[-SNL  CSL ] [  0   H  ] [ SNR  CSR ]	 [  0	 SSMIN ].

Parameters:
F

F is DOUBLE PRECISION
The (1,1) element of the 2-by-2 matrix.

G

G is DOUBLE PRECISION
The (1,2) element of the 2-by-2 matrix.

H

H is DOUBLE PRECISION
The (2,2) element of the 2-by-2 matrix.

SSMIN

SSMIN is DOUBLE PRECISION
abs(SSMIN) is the smaller singular value.

SSMAX

SSMAX is DOUBLE PRECISION
abs(SSMAX) is the larger singular value.

SNL

SNL is DOUBLE PRECISION

CSL

CSL is DOUBLE PRECISION
The vector (CSL, SNL) is a unit left singular vector for the
singular value abs(SSMAX).

SNR

SNR is DOUBLE PRECISION

CSR

CSR is DOUBLE PRECISION
The vector (CSR, SNR) is a unit right singular vector for the
singular value abs(SSMAX).

Author:
Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Date:
September 2012

Further Details:

Any input parameter may be aliased with any output parameter.

Barring over/underflow and assuming a guard digit in subtraction, all
output quantities are correct to within a few units in the last
place (ulps).

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. (On machines with
partial overflow, like the Cray, overflow may occur if the largest
singular value is within a factor of 2 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.

Definition at line 139 of file dlasv2.f.

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

Version 3.4.2							  Tue Sep 25 2012						       dlasv2.f(3)```

## Check Out this Related Man Page

```slasv2.f(3)							      LAPACK							       slasv2.f(3)

NAME
slasv2.f -

SYNOPSIS
Functions/Subroutines
subroutine slasv2 (F, G, H, SSMIN, SSMAX, SNR, CSR, SNL, CSL)
SLASV2

Function/Subroutine Documentation
subroutine slasv2 (realF, realG, realH, realSSMIN, realSSMAX, realSNR, realCSR, realSNL, realCSL)
SLASV2

Purpose:

SLASV2 computes the singular value decomposition of a 2-by-2
triangular matrix
[  F   G  ]
[  0   H  ].
On return, abs(SSMAX) is the larger singular value, abs(SSMIN) is the
smaller singular value, and (CSL,SNL) and (CSR,SNR) are the left and
right singular vectors for abs(SSMAX), giving the decomposition

[ CSL  SNL ] [  F   G  ] [ CSR -SNR ]  =  [ SSMAX   0   ]
[-SNL  CSL ] [  0   H  ] [ SNR  CSR ]	 [  0	 SSMIN ].

Parameters:
F

F is REAL
The (1,1) element of the 2-by-2 matrix.

G

G is REAL
The (1,2) element of the 2-by-2 matrix.

H

H is REAL
The (2,2) element of the 2-by-2 matrix.

SSMIN

SSMIN is REAL
abs(SSMIN) is the smaller singular value.

SSMAX

SSMAX is REAL
abs(SSMAX) is the larger singular value.

SNL

SNL is REAL

CSL

CSL is REAL
The vector (CSL, SNL) is a unit left singular vector for the
singular value abs(SSMAX).

SNR

SNR is REAL

CSR

CSR is REAL
The vector (CSR, SNR) is a unit right singular vector for the
singular value abs(SSMAX).

Author:
Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Date:
November 2011

Further Details:

Any input parameter may be aliased with any output parameter.

Barring over/underflow and assuming a guard digit in subtraction, all
output quantities are correct to within a few units in the last
place (ulps).

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. (On machines with
partial overflow, like the Cray, overflow may occur if the largest
singular value is within a factor of 2 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.

Definition at line 139 of file slasv2.f.

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

Version 3.4.1							  Sun May 26 2013						       slasv2.f(3)```
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