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dsygs2 (3)
  • >> dsygs2 (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         dsygs2 - reduce a real symmetric-definite generalized eigen-
         problem to standard form
    
    SYNOPSIS
         SUBROUTINE DSYGS2( ITYPE, UPLO, N, A, LDA, B, LDB, INFO )
    
         CHARACTER UPLO
    
         INTEGER INFO, ITYPE, LDA, LDB, N
    
         DOUBLE PRECISION A( LDA, * ), B( LDB, * )
    
    
    
         #include <sunperf.h>
    
         void dsygs2(int itype, char uplo, int  n,  double  *da,  int
                   lda, double *db, int ldb, int *info) ;
    
    PURPOSE
         DSYGS2 reduces a real symmetric-definite generalized  eigen-
         problem to standard form.
    
         If ITYPE = 1, the problem is A*x = lambda*B*x,
         and A is overwritten by inv(U')*A*inv(U) or inv(L)*A*inv(L')
    
         If ITYPE = 2 or 3, the problem is A*B*x = lambda*x or
         B*A*x = lambda*x, and A is overwritten by U*A*U` or L'*A*L.
    
         B must have been previously factorized as U'*U  or  L*L'  by
         DPOTRF.
    
    
    ARGUMENTS
         ITYPE     (input) INTEGER
                   = 1: compute inv(U')*A*inv(U) or inv(L)*A*inv(L');
                   = 2 or 3: compute U*A*U' or L'*A*L.
    
         UPLO      (input) CHARACTER
                   Specifies whether the upper  or  lower  triangular
                   part  of the symmetric matrix A is stored, and how
                   B has been factorized.  = 'U':  Upper triangular
                   = 'L':  Lower triangular
    
         N         (input) INTEGER
                   The order of the matrices A and B.  N >= 0.
    
         A         (input/output) DOUBLE PRECISION  array,  dimension
                   (LDA,N)
                   On entry, the symmetric matrix A.  If UPLO =  'U',
                   the  leading  n  by  n  upper triangular part of A
                   contains the upper triangular part of  the  matrix
                   A,  and the strictly lower triangular part of A is
                   not referenced.  If UPLO = 'L', the leading n by n
                   lower triangular part of A contains the lower tri-
                   angular part of the matrix  A,  and  the  strictly
                   upper triangular part of A is not referenced.
    
                   On exit, if INFO  =  0,  the  transformed  matrix,
                   stored in the same format as A.
    
         LDA       (input) INTEGER
                   The leading dimension of  the  array  A.   LDA  >=
                   max(1,N).
    
         B         (input) DOUBLE PRECISION array, dimension (LDB,N)
                   The triangular factor from the Cholesky factoriza-
                   tion of B, as returned by DPOTRF.
    
         LDB       (input) INTEGER
                   The leading dimension of  the  array  B.   LDB  >=
                   max(1,N).
    
         INFO      (output) INTEGER
                   = 0:  successful exit.
                   < 0:  if INFO = -i, the i-th argument had an ille-
                   gal value.
    
    
    
    


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