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PDSYNGST(l)                            )                           PDSYNGST(l)

NAME

SYNOPSIS

SUBROUTINE PDSYNGST( IBTYPE, UPLO, N, A, IA, JA, DESCA, B, IB, JB, DESCB, SCALE, WORK, LWORK, INFO ) CHARACTER UPLO INTEGER IA, IB, IBTYPE, INFO, JA, JB, LWORK, N DOUBLE PRECISION SCALE INTEGER DESCA( * ), DESCB( * ) DOUBLE PRECISION A( * ), B( * ), WORK( * ) DOUBLE PRECISION ONEHALF, ONE, MONE PARAMETER ( ONEHALF = 0.5D0, ONE = 1.0D0, MONE = -1.0D0 ) INTEGER DLEN_, CTXT_, MB_, NB_, RSRC_, CSRC_, LLD_ PARAMETER ( DLEN_ = 9, CTXT_ = 2, MB_ = 5, NB_ = 6, RSRC_ = 7, CSRC_ = 8, LLD_ = 9 ) LOGICAL LQUERY, UPPER INTEGER I, IACOL, IAROW, IBCOL, IBROW, ICOFFA, ICOFFB, ICTXT, INDAA, INDG, INDR, INDRT, IROFFA, IROFFB, J, K, KB, LWMIN, LWOPT, MYCOL, MYROW, NB, NP0, NPCOL, NPK, NPROW, NQ0, POSTK INTEGER DESCAA( DLEN_ ), DESCG( DLEN_ ), DESCR( DLEN_ ), DESCRT( DLEN_ ), IDUM1( 2 ), IDUM2( 2 ) LOGICAL LSAME INTEGER INDXG2P, NUMROC EXTERNAL LSAME, INDXG2P, NUMROC EXTERNAL BLACS_GRIDINFO, CHK1MAT, DESCSET, PCHK2MAT, PDGEMM, PDLACPY, PDSYGST, PDSYMM, PDSYR2K, PDTRSM, PXERBLA INTRINSIC DBLE, ICHAR, MAX, MIN, MOD ICTXT = DESCA( CTXT_ ) CALL BLACS_GRIDINFO( ICTXT, NPROW, NPCOL, MYROW, MYCOL ) SCALE = 1.0D0 NB = DESCA( MB_ ) INFO = 0 IF( NPROW.EQ.-1 ) THEN INFO = -( 700+CTXT_ ) ELSE UPPER = LSAME( UPLO, 'U' ) CALL CHK1MAT( N, 3, N, 3, IA, JA, DESCA, 7, INFO ) CALL CHK1MAT( N, 3, N, 3, IB, JB, DESCB, 11, INFO ) IF( INFO.EQ.0 ) THEN IAROW = INDXG2P( IA, DESCA( MB_ ), MYROW, DESCA( RSRC_ ), NPROW ) IBROW = INDXG2P( IB, DESCB( MB_ ), MYROW, DESCB( RSRC_ ), NPROW ) IACOL = INDXG2P( JA, DESCA( NB_ ), MYCOL, DESCA( CSRC_ ), NPCOL ) IBCOL = INDXG2P( JB, DESCB( NB_ ), MYCOL, DESCB( CSRC_ ), NPCOL ) IROFFA = MOD( IA-1, DESCA( MB_ ) ) ICOFFA = MOD( JA-1, DESCA( NB_ ) ) IROFFB = MOD( IB-1, DESCB( MB_ ) ) ICOFFB = MOD( JB-1, DESCB( NB_ ) ) NP0 = NUMROC( N, NB, 0, 0, NPROW ) NQ0 = NUMROC( N, NB, 0, 0, NPCOL ) LWMIN = MAX( NB*( NP0+1 ), 3*NB ) IF( IBTYPE.EQ.1 .AND. .NOT.UPPER ) THEN LWOPT = 2*NP0*NB + NQ0*NB + NB*NB ELSE LWOPT = LWMIN END IF WORK( 1 ) = DBLE( LWOPT ) LQUERY = ( LWORK.EQ.-1 ) IF( IBTYPE.LT.1 .OR. IBTYPE.GT.3 ) THEN INFO = -1 ELSE IF( .NOT.UPPER .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN INFO = -2 ELSE IF( N.LT.0 ) THEN INFO = -3 ELSE IF( IROFFA.NE.0 ) THEN INFO = -5 ELSE IF( ICOFFA.NE.0 ) THEN INFO = -6 ELSE IF( DESCA( MB_ ).NE.DESCA( NB_ ) ) THEN INFO = -( 700+NB_ ) ELSE IF( IROFFB.NE.0 .OR. IBROW.NE.IAROW ) THEN INFO = -9 ELSE IF( ICOFFB.NE.0 .OR. IBCOL.NE.IACOL ) THEN INFO = -10 ELSE IF( DESCB( MB_ ).NE.DESCA( MB_ ) ) THEN INFO = -( 1100+MB_ ) ELSE IF( DESCB( NB_ ).NE.DESCA( NB_ ) ) THEN INFO = -( 1100+NB_ ) ELSE IF( ICTXT.NE.DESCB( CTXT_ ) ) THEN INFO = -( 1100+CTXT_ ) ELSE IF( LWORK.LT.LWMIN .AND. .NOT.LQUERY ) THEN INFO = -13 END IF END IF IDUM1( 1 ) = IBTYPE IDUM2( 1 ) = 1 IF( UPPER ) THEN IDUM1( 2 ) = ICHAR( 'U' ) ELSE IDUM1( 2 ) = ICHAR( 'L' ) END IF IDUM2( 2 ) = 2 CALL PCHK2MAT( N, 3, N, 3, IA, JA, DESCA, 7, N, 3, N, 3, IB, JB, DESCB, 11, 2, IDUM1, IDUM2, INFO ) END IF IF( INFO.NE.0 ) THEN CALL PXERBLA( ICTXT, 'PDSYNGST', -INFO ) RETURN ELSE IF( LQUERY ) THEN RETURN END IF IF( N.EQ.0 ) RETURN IF( IBTYPE.NE.1 .OR. UPPER .OR. LWORK.LT.LWOPT ) THEN CALL PDSYGST( IBTYPE, UPLO, N, A, IA, JA, DESCA, B, IB, JB, DESCB, SCALE, INFO ) RETURN END IF CALL DESCSET( DESCG, N, NB, NB, NB, IAROW, IACOL, ICTXT, NP0 ) CALL DESCSET( DESCR, N, NB, NB, NB, IAROW, IACOL, ICTXT, NP0 ) CALL DESCSET( DESCRT, NB, N, NB, NB, IAROW, IACOL, ICTXT, NB ) CALL DESCSET( DESCAA, NB, NB, NB, NB, IAROW, IACOL, ICTXT, NB ) INDG = 1 INDR = INDG + DESCG( LLD_ )*NB INDAA = INDR + DESCR( LLD_ )*NB INDRT = INDAA + DESCAA( LLD_ )*NB DO 30 K = 1, N, NB KB = MIN( N-K+1, NB ) POSTK = K + KB NPK = N - POSTK + 1 CALL PDLACPY( 'A', N-POSTK+1, KB, B, POSTK+IB-1, K+JB-1, DESCB, WORK( INDG ), POSTK, 1, DESCG ) CALL PDLACPY( 'A', N-POSTK+1, KB, A, POSTK+IA-1, K+JA-1, DESCA, WORK( INDR ), POSTK, 1, DESCR ) CALL PDLACPY( 'A', KB, K-1, A, K+IA-1, JA, DESCA, WORK( INDRT ), 1, 1, DESCRT ) CALL PDLACPY( 'L', KB, KB, A, K+IA-1, K+JA-1, DESCA, WORK( INDR ), K, 1, DESCR ) CALL PDTRSM( 'Right', 'L', 'N', 'N', NPK, KB, MONE, B, K+IB-1, K+JB-1, DESCB, WORK( INDG ), POSTK, 1, DESCG ) CALL PDSYMM( 'Right', 'L', NPK, KB, ONEHALF, A, K+IA-1, K+JA-1, DESCA, WORK( INDG ), POSTK, 1, DESCG, ONE, WORK( INDR ), POSTK, 1, DESCR ) CALL PDSYR2K( 'Lower', 'No T', NPK, KB, ONE, WORK( INDG ), POSTK, 1, DESCG, WORK( INDR ), POSTK, 1, DESCR, ONE, A, POSTK+IA-1, POSTK+JA-1, DESCA ) CALL PDGEMM( 'No T', 'No Conj', NPK, K-1, KB, ONE, WORK( INDG ), POSTK, 1, DESCG, WORK( INDRT ), 1, 1, DESCRT, ONE, A, POSTK+IA-1, JA, DESCA ) CALL PDSYMM( 'Right', 'L', NPK, KB, ONE, WORK( INDR ), K, 1, DESCR, WORK( INDG ), POSTK, 1, DESCG, ONE, A, POSTK+IA-1, K+JA-1, DESCA ) CALL PDTRSM( 'Left', 'Lower', 'No Conj', 'Non-unit', KB, K-1, ONE, B, K+IB-1, K+JB-1, DESCB, A, K+IA-1, JA, DESCA ) CALL PDLACPY( 'L', KB, KB, A, K+IA-1, K+JA-1, DESCA, WORK( INDAA ), 1, 1, DESCAA ) IF( MYROW.EQ.DESCAA( RSRC_ ) .AND. MYCOL.EQ.DESCAA( CSRC_ ) ) THEN DO 20 I = 1, KB DO 10 J = 1, I WORK( INDAA+J-1+( I-1 )*DESCAA( LLD_ ) ) = WORK( INDAA+I-1+( J-1 )*DESCAA( LLD_ ) ) 10 CONTINUE 20 CONTINUE END IF CALL PDTRSM( 'Left', 'Lower', 'No Conj', 'Non-unit', KB, KB, ONE, B, K+IB-1, K+JB-1, DESCB, WORK( INDAA ), 1, 1, DESCAA ) CALL PDTRSM( 'Right', 'Lower', 'Conj', 'Non-unit', KB, KB, ONE, B, K+IB-1, K+JB-1, DESCB, WORK( INDAA ), 1, 1, DESCAA ) CALL PDLACPY( 'L', KB, KB, WORK( INDAA ), 1, 1, DESCAA, A, K+IA-1, K+JA-1, DESCA ) CALL PDTRSM( 'Right', 'Lower', 'Conj', 'Non-unit', NPK, KB, ONE, B, K+IB-1, K+JB-1, DESCB, A, POSTK+IA-1, K+JA-1, DESCA ) DESCR( CSRC_ ) = MOD( DESCR( CSRC_ )+1, NPCOL ) DESCG( CSRC_ ) = MOD( DESCG( CSRC_ )+1, NPCOL ) DESCRT( RSRC_ ) = MOD( DESCRT( RSRC_ )+1, NPROW ) DESCAA( RSRC_ ) = MOD( DESCAA( RSRC_ )+1, NPROW ) DESCAA( CSRC_ ) = MOD( DESCAA( CSRC_ )+1, NPCOL ) 30 CONTINUE WORK( 1 ) = DBLE( LWOPT ) RETURN END

PURPOSE

ScaLAPACK version 1.7 13 August 2001 PDSYNGST(l)

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