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dsygst(3P)		    Sun Performance Library		    dsygst(3P)

NAME
       dsygst  -  reduce a real symmetric-definite generalized eigenproblem to
       standard form

SYNOPSIS
       SUBROUTINE DSYGST(ITYPE, UPLO, N, A, LDA, B, LDB, INFO)

       CHARACTER * 1 UPLO
       INTEGER ITYPE, N, LDA, LDB, INFO
       DOUBLE PRECISION A(LDA,*), B(LDB,*)

       SUBROUTINE DSYGST_64(ITYPE, UPLO, N, A, LDA, B, LDB, INFO)

       CHARACTER * 1 UPLO
       INTEGER*8 ITYPE, N, LDA, LDB, INFO
       DOUBLE PRECISION A(LDA,*), B(LDB,*)

   F95 INTERFACE
       SUBROUTINE SYGST(ITYPE, UPLO, N, A, [LDA], B, [LDB], [INFO])

       CHARACTER(LEN=1) :: UPLO
       INTEGER :: ITYPE, N, LDA, LDB, INFO
       REAL(8), DIMENSION(:,:) :: A, B

       SUBROUTINE SYGST_64(ITYPE, UPLO, N, A, [LDA], B, [LDB], [INFO])

       CHARACTER(LEN=1) :: UPLO
       INTEGER(8) :: ITYPE, N, LDA, LDB, INFO
       REAL(8), DIMENSION(:,:) :: A, B

   C INTERFACE
       #include <sunperf.h>

       void dsygst(int itype, char uplo, int n, double *a, int lda, double *b,
		 int ldb, int *info);

       void dsygst_64(long itype, char uplo, long n, double *a, long lda, dou‐
		 ble *b, long ldb, long *info);

PURPOSE
       dsygst reduces a real symmetric-definite	 generalized  eigenproblem  to
       standard form.

       If ITYPE = 1, the problem is A*x = lambda*B*x,
       and A is overwritten by inv(U**T)*A*inv(U) or inv(L)*A*inv(L**T)

       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**T or L**T*A*L.

       B must have been previously factorized as U**T*U or L*L**T by SPOTRF.

ARGUMENTS
       ITYPE (input)
		 = 1: compute inv(U**T)*A*inv(U) or inv(L)*A*inv(L**T);
		 = 2 or 3: compute U*A*U**T or L**T*A*L.

       UPLO (input)
		 =  'U':   Upper  triangle of A is stored and B is factored as
		 U**T*U; = 'L':	 Lower triangle of A is stored and B  is  fac‐
		 tored as L*L**T.

       N (input) The order of the matrices A and B.  N >= 0.

       A (input/output)
		 On entry, the symmetric matrix A.  If UPLO = 'U', the leading
		 N-by-N upper triangular part of A contains the upper triangu‐
		 lar  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 triangular
		 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)
		 The leading dimension of the array A.	LDA >= max(1,N).

       B (input) The triangular factor from the Cholesky factorization	of  B,
		 as returned by SPOTRF.

       LDB (input)
		 The leading dimension of the array B.	LDB >= max(1,N).

       INFO (output)
		 = 0:  successful exit
		 < 0:  if INFO = -i, the i-th argument had an illegal value

				  6 Mar 2009			    dsygst(3P)
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