clags2 man page on Scientific

Man page or keyword search:  
man Server   26626 pages
apropos Keyword Search (all sections)
Output format
Scientific logo
[printable version]

CLAGS2(1)	    LAPACK auxiliary routine (version 3.2)	     CLAGS2(1)

NAME
       CLAGS2  -  computes  2-by-2 unitary matrices U, V and Q, such that if (
       UPPER ) then   U'*A*Q = U'*( A1 A2 )*Q = ( x 0 )	 ( 0 A3 ) ( x x )  and
       V'*B*Q = V'*( B1 B2 )*Q = ( x 0 )  ( 0 B3 ) ( x x )  or if ( .NOT.UPPER
       ) then	U'*A*Q = U'*( A1 0 )*Q = ( x x )  ( A2	A3  )  (  0  x	)  and
       V'*B*Q  =  V'*( B1 0 )*Q = ( x x )  ( B2 B3 ) ( 0 x ) where   U = ( CSU
       SNU ), V = ( CSV SNV ),

SYNOPSIS
       SUBROUTINE CLAGS2( UPPER, A1, A2, A3, B1, B2, B3, CSU, SNU,  CSV,  SNV,
			  CSQ, SNQ )

	   LOGICAL	  UPPER

	   REAL		  A1, A3, B1, B3, CSQ, CSU, CSV

	   COMPLEX	  A2, B2, SNQ, SNU, SNV

PURPOSE
       CLAGS2  computes	 2-by-2	 unitary  matrices  U, V and Q, such that if (
       UPPER ) then
	     ( -CONJG(SNU)  CSU )      ( -CONJG(SNV) CSV )
	 Q = (	   CSQ	    SNQ )
	     ( -CONJG(SNQ)  CSQ )
       Z' denotes the conjugate transpose of Z.
       The rows of the transformed A and B  are	 parallel.  Moreover,  if  the
       input  2-by-2 matrix A is not zero, then the transformed (1,1) entry of
       A is not zero. If the input matrices A and B are both  not  zero,  then
       the  transformed	 (2,2) element of B is not zero, except when the first
       rows of input A and B are parallel and the second rows are zero.

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

       A1      (input) REAL
	       A2      (input) COMPLEX A3      (input) REAL On entry,  A1,  A2
	       and  A3 are elements of the input 2-by-2 upper (lower) triangu‐
	       lar matrix A.

       B1      (input) REAL
	       B2      (input) COMPLEX B3      (input) REAL On entry,  B1,  B2
	       and  B3 are elements of the input 2-by-2 upper (lower) triangu‐
	       lar matrix B.

       CSU     (output) REAL
	       SNU     (output) COMPLEX The desired unitary matrix U.

       CSV     (output) REAL
	       SNV     (output) COMPLEX The desired unitary matrix V.

       CSQ     (output) REAL
	       SNQ     (output) COMPLEX The desired unitary matrix Q.

 LAPACK auxiliary routine (versioNovember 2008			     CLAGS2(1)
[top]

List of man pages available for Scientific

Copyright (c) for man pages and the logo by the respective OS vendor.

For those who want to learn more, the polarhome community provides shell access and support.

[legal] [privacy] [GNU] [policy] [cookies] [netiquette] [sponsors] [FAQ]
Tweet
Polarhome, production since 1999.
Member of Polarhome portal.
Based on Fawad Halim's script.
....................................................................
Vote for polarhome
Free Shell Accounts :: the biggest list on the net