slags2.f man page

slags2.f —

Synopsis

Functions/Subroutines

subroutine slags2 (UPPER, A1, A2, A3, B1, B2, B3, CSU, SNU, CSV, SNV, CSQ, SNQ)
SLAGS2 computes 2-by-2 orthogonal matrices U, V, and Q, and applies them to matrices A and B such that the rows of the transformed A and B are parallel.

Function/Subroutine Documentation

subroutine slags2 (logicalUPPER, realA1, realA2, realA3, realB1, realB2, realB3, realCSU, realSNU, realCSV, realSNV, realCSQ, realSNQ)

SLAGS2 computes 2-by-2 orthogonal matrices U, V, and Q, and applies them to matrices A and B such that the rows of the transformed A and B are parallel.

Purpose:

SLAGS2 computes 2-by-2 orthogonal matrices U, V and Q, such
that if ( UPPER ) then

          U**T *A*Q = U**T *( A1 A2 )*Q = ( x  0  )
                            ( 0  A3 )     ( x  x  )
and
          V**T*B*Q = V**T *( B1 B2 )*Q = ( x  0  )
                           ( 0  B3 )     ( x  x  )

or if ( .NOT.UPPER ) then

          U**T *A*Q = U**T *( A1 0  )*Q = ( x  x  )
                            ( A2 A3 )     ( 0  x  )
and
          V**T*B*Q = V**T*( B1 0  )*Q = ( x  x  )
                          ( B2 B3 )     ( 0  x  )

The rows of the transformed A and B are parallel, where

  U = (  CSU  SNU ), V = (  CSV SNV ), Q = (  CSQ   SNQ )
      ( -SNU  CSU )      ( -SNV CSV )      ( -SNQ   CSQ )

Z**T denotes the transpose of Z.

Parameters:

UPPER

UPPER is LOGICAL
= .TRUE.: the input matrices A and B are upper triangular.
= .FALSE.: the input matrices A and B are lower triangular.

A1

A1 is REAL

A2

A2 is REAL

A3

A3 is REAL
On entry, A1, A2 and A3 are elements of the input 2-by-2
upper (lower) triangular matrix A.

B1

B1 is REAL

B2

B2 is REAL

B3

B3 is REAL
On entry, B1, B2 and B3 are elements of the input 2-by-2
upper (lower) triangular matrix B.

CSU

CSU is REAL

SNU

SNU is REAL
The desired orthogonal matrix U.

CSV

CSV is REAL

SNV

SNV is REAL
The desired orthogonal matrix V.

CSQ

CSQ is REAL

SNQ

SNQ is REAL
The desired orthogonal matrix Q.

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

September 2012

Definition at line 152 of file slags2.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

slags2(3) is an alias of slags2.f(3).

Sat Nov 16 2013 Version 3.4.2 LAPACK