--- rpl/lapack/lapack/zlarfb.f 2011/11/21 20:43:17 1.9 +++ rpl/lapack/lapack/zlarfb.f 2023/08/07 08:39:31 1.21 @@ -1,26 +1,26 @@ -*> \brief \b ZLARFB +*> \brief \b ZLARFB applies a block reflector or its conjugate-transpose to a general rectangular matrix. * * =========== DOCUMENTATION =========== * -* Online html documentation available at -* http://www.netlib.org/lapack/explore-html/ +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ * *> \htmlonly -*> Download ZLARFB + dependencies -*> -*> [TGZ] -*> -*> [ZIP] -*> +*> Download ZLARFB + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> *> [TXT] -*> \endhtmlonly +*> \endhtmlonly * * Definition: * =========== * * SUBROUTINE ZLARFB( SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV, * T, LDT, C, LDC, WORK, LDWORK ) -* +* * .. Scalar Arguments .. * CHARACTER DIRECT, SIDE, STOREV, TRANS * INTEGER K, LDC, LDT, LDV, LDWORK, M, N @@ -29,7 +29,7 @@ * COMPLEX*16 C( LDC, * ), T( LDT, * ), V( LDV, * ), * $ WORK( LDWORK, * ) * .. -* +* * *> \par Purpose: * ============= @@ -92,6 +92,8 @@ *> K is INTEGER *> The order of the matrix T (= the number of elementary *> reflectors whose product defines the block reflector). +*> If SIDE = 'L', M >= K >= 0; +*> if SIDE = 'R', N >= K >= 0. *> \endverbatim *> *> \param[in] V @@ -154,12 +156,10 @@ * Authors: * ======== * -*> \author Univ. of Tennessee -*> \author Univ. of California Berkeley -*> \author Univ. of Colorado Denver -*> \author NAG Ltd. -* -*> \date November 2011 +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. * *> \ingroup complex16OTHERauxiliary * @@ -195,10 +195,9 @@ SUBROUTINE ZLARFB( SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV, $ T, LDT, C, LDC, WORK, LDWORK ) * -* -- LAPACK auxiliary routine (version 3.4.0) -- +* -- LAPACK auxiliary routine -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- -* November 2011 * * .. Scalar Arguments .. CHARACTER DIRECT, SIDE, STOREV, TRANS @@ -217,12 +216,11 @@ * .. * .. Local Scalars .. CHARACTER TRANST - INTEGER I, J, LASTV, LASTC + INTEGER I, J * .. * .. External Functions .. LOGICAL LSAME - INTEGER ILAZLR, ILAZLC - EXTERNAL LSAME, ILAZLR, ILAZLC + EXTERNAL LSAME * .. * .. External Subroutines .. EXTERNAL ZCOPY, ZGEMM, ZLACGV, ZTRMM @@ -256,35 +254,32 @@ * Form H * C or H**H * C where C = ( C1 ) * ( C2 ) * - LASTV = MAX( K, ILAZLR( M, K, V, LDV ) ) - LASTC = ILAZLC( LASTV, N, C, LDC ) -* * W := C**H * V = (C1**H * V1 + C2**H * V2) (stored in WORK) * * W := C1**H * DO 10 J = 1, K - CALL ZCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 ) - CALL ZLACGV( LASTC, WORK( 1, J ), 1 ) + CALL ZCOPY( N, C( J, 1 ), LDC, WORK( 1, J ), 1 ) + CALL ZLACGV( N, WORK( 1, J ), 1 ) 10 CONTINUE * * W := W * V1 * - CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit', - $ LASTC, K, ONE, V, LDV, WORK, LDWORK ) - IF( LASTV.GT.K ) THEN -* -* W := W + C2**H *V2 -* - CALL ZGEMM( 'Conjugate transpose', 'No transpose', - $ LASTC, K, LASTV-K, ONE, C( K+1, 1 ), LDC, - $ V( K+1, 1 ), LDV, ONE, WORK, LDWORK ) + CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit', N, + $ K, ONE, V, LDV, WORK, LDWORK ) + IF( M.GT.K ) THEN +* +* W := W + C2**H * V2 +* + CALL ZGEMM( 'Conjugate transpose', 'No transpose', N, + $ K, M-K, ONE, C( K+1, 1 ), LDC, + $ V( K+1, 1 ), LDV, ONE, WORK, LDWORK ) END IF * * W := W * T**H or W * T * - CALL ZTRMM( 'Right', 'Upper', TRANST, 'Non-unit', - $ LASTC, K, ONE, T, LDT, WORK, LDWORK ) + CALL ZTRMM( 'Right', 'Upper', TRANST, 'Non-unit', N, K, + $ ONE, T, LDT, WORK, LDWORK ) * * C := C - V * W**H * @@ -293,20 +288,19 @@ * C2 := C2 - V2 * W**H * CALL ZGEMM( 'No transpose', 'Conjugate transpose', - $ LASTV-K, LASTC, K, - $ -ONE, V( K+1, 1 ), LDV, WORK, LDWORK, - $ ONE, C( K+1, 1 ), LDC ) + $ M-K, N, K, -ONE, V( K+1, 1 ), LDV, WORK, + $ LDWORK, ONE, C( K+1, 1 ), LDC ) END IF * * W := W * V1**H * CALL ZTRMM( 'Right', 'Lower', 'Conjugate transpose', - $ 'Unit', LASTC, K, ONE, V, LDV, WORK, LDWORK ) + $ 'Unit', N, K, ONE, V, LDV, WORK, LDWORK ) * * C1 := C1 - W**H * DO 30 J = 1, K - DO 20 I = 1, LASTC + DO 20 I = 1, N C( J, I ) = C( J, I ) - DCONJG( WORK( I, J ) ) 20 CONTINUE 30 CONTINUE @@ -315,57 +309,52 @@ * * Form C * H or C * H**H where C = ( C1 C2 ) * - LASTV = MAX( K, ILAZLR( N, K, V, LDV ) ) - LASTC = ILAZLR( M, LASTV, C, LDC ) -* * W := C * V = (C1*V1 + C2*V2) (stored in WORK) * * W := C1 * DO 40 J = 1, K - CALL ZCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 ) + CALL ZCOPY( M, C( 1, J ), 1, WORK( 1, J ), 1 ) 40 CONTINUE * * W := W * V1 * - CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit', - $ LASTC, K, ONE, V, LDV, WORK, LDWORK ) - IF( LASTV.GT.K ) THEN + CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit', M, + $ K, ONE, V, LDV, WORK, LDWORK ) + IF( N.GT.K ) THEN * * W := W + C2 * V2 * - CALL ZGEMM( 'No transpose', 'No transpose', - $ LASTC, K, LASTV-K, - $ ONE, C( 1, K+1 ), LDC, V( K+1, 1 ), LDV, - $ ONE, WORK, LDWORK ) + CALL ZGEMM( 'No transpose', 'No transpose', M, K, N-K, + $ ONE, C( 1, K+1 ), LDC, V( K+1, 1 ), LDV, + $ ONE, WORK, LDWORK ) END IF * * W := W * T or W * T**H * - CALL ZTRMM( 'Right', 'Upper', TRANS, 'Non-unit', - $ LASTC, K, ONE, T, LDT, WORK, LDWORK ) + CALL ZTRMM( 'Right', 'Upper', TRANS, 'Non-unit', M, K, + $ ONE, T, LDT, WORK, LDWORK ) * * C := C - W * V**H * - IF( LASTV.GT.K ) THEN + IF( N.GT.K ) THEN * * C2 := C2 - W * V2**H * - CALL ZGEMM( 'No transpose', 'Conjugate transpose', - $ LASTC, LASTV-K, K, - $ -ONE, WORK, LDWORK, V( K+1, 1 ), LDV, - $ ONE, C( 1, K+1 ), LDC ) + CALL ZGEMM( 'No transpose', 'Conjugate transpose', M, + $ N-K, K, -ONE, WORK, LDWORK, V( K+1, 1 ), + $ LDV, ONE, C( 1, K+1 ), LDC ) END IF * * W := W * V1**H * CALL ZTRMM( 'Right', 'Lower', 'Conjugate transpose', - $ 'Unit', LASTC, K, ONE, V, LDV, WORK, LDWORK ) + $ 'Unit', M, K, ONE, V, LDV, WORK, LDWORK ) * * C1 := C1 - W * DO 60 J = 1, K - DO 50 I = 1, LASTC + DO 50 I = 1, M C( I, J ) = C( I, J ) - WORK( I, J ) 50 CONTINUE 60 CONTINUE @@ -382,62 +371,55 @@ * Form H * C or H**H * C where C = ( C1 ) * ( C2 ) * - LASTV = MAX( K, ILAZLR( M, K, V, LDV ) ) - LASTC = ILAZLC( LASTV, N, C, LDC ) -* * W := C**H * V = (C1**H * V1 + C2**H * V2) (stored in WORK) * * W := C2**H * DO 70 J = 1, K - CALL ZCOPY( LASTC, C( LASTV-K+J, 1 ), LDC, - $ WORK( 1, J ), 1 ) - CALL ZLACGV( LASTC, WORK( 1, J ), 1 ) + CALL ZCOPY( N, C( M-K+J, 1 ), LDC, WORK( 1, J ), 1 ) + CALL ZLACGV( N, WORK( 1, J ), 1 ) 70 CONTINUE * * W := W * V2 * - CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit', - $ LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV, - $ WORK, LDWORK ) - IF( LASTV.GT.K ) THEN -* -* W := W + C1**H*V1 -* - CALL ZGEMM( 'Conjugate transpose', 'No transpose', - $ LASTC, K, LASTV-K, - $ ONE, C, LDC, V, LDV, - $ ONE, WORK, LDWORK ) + CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit', N, + $ K, ONE, V( M-K+1, 1 ), LDV, WORK, LDWORK ) + IF( M.GT.K ) THEN +* +* W := W + C1**H * V1 +* + CALL ZGEMM( 'Conjugate transpose', 'No transpose', N, + $ K, M-K, ONE, C, LDC, V, LDV, ONE, WORK, + $ LDWORK ) END IF * * W := W * T**H or W * T * - CALL ZTRMM( 'Right', 'Lower', TRANST, 'Non-unit', - $ LASTC, K, ONE, T, LDT, WORK, LDWORK ) + CALL ZTRMM( 'Right', 'Lower', TRANST, 'Non-unit', N, K, + $ ONE, T, LDT, WORK, LDWORK ) * * C := C - V * W**H * - IF( LASTV.GT.K ) THEN + IF( M.GT.K ) THEN * * C1 := C1 - V1 * W**H * CALL ZGEMM( 'No transpose', 'Conjugate transpose', - $ LASTV-K, LASTC, K, - $ -ONE, V, LDV, WORK, LDWORK, - $ ONE, C, LDC ) + $ M-K, N, K, -ONE, V, LDV, WORK, LDWORK, + $ ONE, C, LDC ) END IF * * W := W * V2**H * CALL ZTRMM( 'Right', 'Upper', 'Conjugate transpose', - $ 'Unit', LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV, - $ WORK, LDWORK ) + $ 'Unit', N, K, ONE, V( M-K+1, 1 ), LDV, WORK, + $ LDWORK ) * * C2 := C2 - W**H * DO 90 J = 1, K - DO 80 I = 1, LASTC - C( LASTV-K+J, I ) = C( LASTV-K+J, I ) - + DO 80 I = 1, N + C( M-K+J, I ) = C( M-K+J, I ) - $ DCONJG( WORK( I, J ) ) 80 CONTINUE 90 CONTINUE @@ -446,60 +428,53 @@ * * Form C * H or C * H**H where C = ( C1 C2 ) * - LASTV = MAX( K, ILAZLR( N, K, V, LDV ) ) - LASTC = ILAZLR( M, LASTV, C, LDC ) -* * W := C * V = (C1*V1 + C2*V2) (stored in WORK) * * W := C2 * DO 100 J = 1, K - CALL ZCOPY( LASTC, C( 1, LASTV-K+J ), 1, - $ WORK( 1, J ), 1 ) + CALL ZCOPY( M, C( 1, N-K+J ), 1, WORK( 1, J ), 1 ) 100 CONTINUE * * W := W * V2 * - CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit', - $ LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV, - $ WORK, LDWORK ) - IF( LASTV.GT.K ) THEN + CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit', M, + $ K, ONE, V( N-K+1, 1 ), LDV, WORK, LDWORK ) + IF( N.GT.K ) THEN * * W := W + C1 * V1 * - CALL ZGEMM( 'No transpose', 'No transpose', - $ LASTC, K, LASTV-K, - $ ONE, C, LDC, V, LDV, ONE, WORK, LDWORK ) + CALL ZGEMM( 'No transpose', 'No transpose', M, K, N-K, + $ ONE, C, LDC, V, LDV, ONE, WORK, LDWORK ) END IF * * W := W * T or W * T**H * - CALL ZTRMM( 'Right', 'Lower', TRANS, 'Non-unit', - $ LASTC, K, ONE, T, LDT, WORK, LDWORK ) + CALL ZTRMM( 'Right', 'Lower', TRANS, 'Non-unit', M, K, + $ ONE, T, LDT, WORK, LDWORK ) * * C := C - W * V**H * - IF( LASTV.GT.K ) THEN + IF( N.GT.K ) THEN * * C1 := C1 - W * V1**H * - CALL ZGEMM( 'No transpose', 'Conjugate transpose', - $ LASTC, LASTV-K, K, -ONE, WORK, LDWORK, V, LDV, - $ ONE, C, LDC ) + CALL ZGEMM( 'No transpose', 'Conjugate transpose', M, + $ N-K, K, -ONE, WORK, LDWORK, V, LDV, ONE, + $ C, LDC ) END IF * * W := W * V2**H * CALL ZTRMM( 'Right', 'Upper', 'Conjugate transpose', - $ 'Unit', LASTC, K, ONE, V( LASTV-K+1, 1 ), LDV, - $ WORK, LDWORK ) + $ 'Unit', M, K, ONE, V( N-K+1, 1 ), LDV, WORK, + $ LDWORK ) * * C2 := C2 - W * DO 120 J = 1, K - DO 110 I = 1, LASTC - C( I, LASTV-K+J ) = C( I, LASTV-K+J ) - $ - WORK( I, J ) + DO 110 I = 1, M + C( I, N-K+J ) = C( I, N-K+J ) - WORK( I, J ) 110 CONTINUE 120 CONTINUE END IF @@ -517,58 +492,55 @@ * Form H * C or H**H * C where C = ( C1 ) * ( C2 ) * - LASTV = MAX( K, ILAZLC( K, M, V, LDV ) ) - LASTC = ILAZLC( LASTV, N, C, LDC ) -* * W := C**H * V**H = (C1**H * V1**H + C2**H * V2**H) (stored in WORK) * * W := C1**H * DO 130 J = 1, K - CALL ZCOPY( LASTC, C( J, 1 ), LDC, WORK( 1, J ), 1 ) - CALL ZLACGV( LASTC, WORK( 1, J ), 1 ) + CALL ZCOPY( N, C( J, 1 ), LDC, WORK( 1, J ), 1 ) + CALL ZLACGV( N, WORK( 1, J ), 1 ) 130 CONTINUE * * W := W * V1**H * CALL ZTRMM( 'Right', 'Upper', 'Conjugate transpose', - $ 'Unit', LASTC, K, ONE, V, LDV, WORK, LDWORK ) - IF( LASTV.GT.K ) THEN + $ 'Unit', N, K, ONE, V, LDV, WORK, LDWORK ) + IF( M.GT.K ) THEN * -* W := W + C2**H*V2**H +* W := W + C2**H * V2**H * CALL ZGEMM( 'Conjugate transpose', - $ 'Conjugate transpose', LASTC, K, LASTV-K, - $ ONE, C( K+1, 1 ), LDC, V( 1, K+1 ), LDV, - $ ONE, WORK, LDWORK ) + $ 'Conjugate transpose', N, K, M-K, ONE, + $ C( K+1, 1 ), LDC, V( 1, K+1 ), LDV, ONE, + $ WORK, LDWORK ) END IF * * W := W * T**H or W * T * - CALL ZTRMM( 'Right', 'Upper', TRANST, 'Non-unit', - $ LASTC, K, ONE, T, LDT, WORK, LDWORK ) + CALL ZTRMM( 'Right', 'Upper', TRANST, 'Non-unit', N, K, + $ ONE, T, LDT, WORK, LDWORK ) * * C := C - V**H * W**H * - IF( LASTV.GT.K ) THEN + IF( M.GT.K ) THEN * * C2 := C2 - V2**H * W**H * CALL ZGEMM( 'Conjugate transpose', - $ 'Conjugate transpose', LASTV-K, LASTC, K, - $ -ONE, V( 1, K+1 ), LDV, WORK, LDWORK, - $ ONE, C( K+1, 1 ), LDC ) + $ 'Conjugate transpose', M-K, N, K, -ONE, + $ V( 1, K+1 ), LDV, WORK, LDWORK, ONE, + $ C( K+1, 1 ), LDC ) END IF * * W := W * V1 * - CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit', - $ LASTC, K, ONE, V, LDV, WORK, LDWORK ) + CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit', N, + $ K, ONE, V, LDV, WORK, LDWORK ) * * C1 := C1 - W**H * DO 150 J = 1, K - DO 140 I = 1, LASTC + DO 140 I = 1, N C( J, I ) = C( J, I ) - DCONJG( WORK( I, J ) ) 140 CONTINUE 150 CONTINUE @@ -577,56 +549,52 @@ * * Form C * H or C * H**H where C = ( C1 C2 ) * - LASTV = MAX( K, ILAZLC( K, N, V, LDV ) ) - LASTC = ILAZLR( M, LASTV, C, LDC ) -* * W := C * V**H = (C1*V1**H + C2*V2**H) (stored in WORK) * * W := C1 * DO 160 J = 1, K - CALL ZCOPY( LASTC, C( 1, J ), 1, WORK( 1, J ), 1 ) + CALL ZCOPY( M, C( 1, J ), 1, WORK( 1, J ), 1 ) 160 CONTINUE * * W := W * V1**H * CALL ZTRMM( 'Right', 'Upper', 'Conjugate transpose', - $ 'Unit', LASTC, K, ONE, V, LDV, WORK, LDWORK ) - IF( LASTV.GT.K ) THEN + $ 'Unit', M, K, ONE, V, LDV, WORK, LDWORK ) + IF( N.GT.K ) THEN * * W := W + C2 * V2**H * - CALL ZGEMM( 'No transpose', 'Conjugate transpose', - $ LASTC, K, LASTV-K, ONE, C( 1, K+1 ), LDC, - $ V( 1, K+1 ), LDV, ONE, WORK, LDWORK ) + CALL ZGEMM( 'No transpose', 'Conjugate transpose', M, + $ K, N-K, ONE, C( 1, K+1 ), LDC, + $ V( 1, K+1 ), LDV, ONE, WORK, LDWORK ) END IF * * W := W * T or W * T**H * - CALL ZTRMM( 'Right', 'Upper', TRANS, 'Non-unit', - $ LASTC, K, ONE, T, LDT, WORK, LDWORK ) + CALL ZTRMM( 'Right', 'Upper', TRANS, 'Non-unit', M, K, + $ ONE, T, LDT, WORK, LDWORK ) * * C := C - W * V * - IF( LASTV.GT.K ) THEN + IF( N.GT.K ) THEN * * C2 := C2 - W * V2 * - CALL ZGEMM( 'No transpose', 'No transpose', - $ LASTC, LASTV-K, K, - $ -ONE, WORK, LDWORK, V( 1, K+1 ), LDV, - $ ONE, C( 1, K+1 ), LDC ) + CALL ZGEMM( 'No transpose', 'No transpose', M, N-K, K, + $ -ONE, WORK, LDWORK, V( 1, K+1 ), LDV, ONE, + $ C( 1, K+1 ), LDC ) END IF * * W := W * V1 * - CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit', - $ LASTC, K, ONE, V, LDV, WORK, LDWORK ) + CALL ZTRMM( 'Right', 'Upper', 'No transpose', 'Unit', M, + $ K, ONE, V, LDV, WORK, LDWORK ) * * C1 := C1 - W * DO 180 J = 1, K - DO 170 I = 1, LASTC + DO 170 I = 1, M C( I, J ) = C( I, J ) - WORK( I, J ) 170 CONTINUE 180 CONTINUE @@ -643,60 +611,55 @@ * Form H * C or H**H * C where C = ( C1 ) * ( C2 ) * - LASTV = MAX( K, ILAZLC( K, M, V, LDV ) ) - LASTC = ILAZLC( LASTV, N, C, LDC ) -* * W := C**H * V**H = (C1**H * V1**H + C2**H * V2**H) (stored in WORK) * * W := C2**H * DO 190 J = 1, K - CALL ZCOPY( LASTC, C( LASTV-K+J, 1 ), LDC, - $ WORK( 1, J ), 1 ) - CALL ZLACGV( LASTC, WORK( 1, J ), 1 ) + CALL ZCOPY( N, C( M-K+J, 1 ), LDC, WORK( 1, J ), 1 ) + CALL ZLACGV( N, WORK( 1, J ), 1 ) 190 CONTINUE * * W := W * V2**H * CALL ZTRMM( 'Right', 'Lower', 'Conjugate transpose', - $ 'Unit', LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV, - $ WORK, LDWORK ) - IF( LASTV.GT.K ) THEN + $ 'Unit', N, K, ONE, V( 1, M-K+1 ), LDV, WORK, + $ LDWORK ) + IF( M.GT.K ) THEN * * W := W + C1**H * V1**H * CALL ZGEMM( 'Conjugate transpose', - $ 'Conjugate transpose', LASTC, K, LASTV-K, - $ ONE, C, LDC, V, LDV, ONE, WORK, LDWORK ) + $ 'Conjugate transpose', N, K, M-K, ONE, C, + $ LDC, V, LDV, ONE, WORK, LDWORK ) END IF * * W := W * T**H or W * T * - CALL ZTRMM( 'Right', 'Lower', TRANST, 'Non-unit', - $ LASTC, K, ONE, T, LDT, WORK, LDWORK ) + CALL ZTRMM( 'Right', 'Lower', TRANST, 'Non-unit', N, K, + $ ONE, T, LDT, WORK, LDWORK ) * * C := C - V**H * W**H * - IF( LASTV.GT.K ) THEN + IF( M.GT.K ) THEN * * C1 := C1 - V1**H * W**H * CALL ZGEMM( 'Conjugate transpose', - $ 'Conjugate transpose', LASTV-K, LASTC, K, - $ -ONE, V, LDV, WORK, LDWORK, ONE, C, LDC ) + $ 'Conjugate transpose', M-K, N, K, -ONE, V, + $ LDV, WORK, LDWORK, ONE, C, LDC ) END IF * * W := W * V2 * - CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit', - $ LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV, - $ WORK, LDWORK ) + CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit', N, + $ K, ONE, V( 1, M-K+1 ), LDV, WORK, LDWORK ) * * C2 := C2 - W**H * DO 210 J = 1, K - DO 200 I = 1, LASTC - C( LASTV-K+J, I ) = C( LASTV-K+J, I ) - + DO 200 I = 1, N + C( M-K+J, I ) = C( M-K+J, I ) - $ DCONJG( WORK( I, J ) ) 200 CONTINUE 210 CONTINUE @@ -705,60 +668,53 @@ * * Form C * H or C * H**H where C = ( C1 C2 ) * - LASTV = MAX( K, ILAZLC( K, N, V, LDV ) ) - LASTC = ILAZLR( M, LASTV, C, LDC ) -* * W := C * V**H = (C1*V1**H + C2*V2**H) (stored in WORK) * * W := C2 * DO 220 J = 1, K - CALL ZCOPY( LASTC, C( 1, LASTV-K+J ), 1, - $ WORK( 1, J ), 1 ) + CALL ZCOPY( M, C( 1, N-K+J ), 1, WORK( 1, J ), 1 ) 220 CONTINUE * * W := W * V2**H * CALL ZTRMM( 'Right', 'Lower', 'Conjugate transpose', - $ 'Unit', LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV, - $ WORK, LDWORK ) - IF( LASTV.GT.K ) THEN + $ 'Unit', M, K, ONE, V( 1, N-K+1 ), LDV, WORK, + $ LDWORK ) + IF( N.GT.K ) THEN * * W := W + C1 * V1**H * - CALL ZGEMM( 'No transpose', 'Conjugate transpose', - $ LASTC, K, LASTV-K, ONE, C, LDC, V, LDV, ONE, - $ WORK, LDWORK ) + CALL ZGEMM( 'No transpose', 'Conjugate transpose', M, + $ K, N-K, ONE, C, LDC, V, LDV, ONE, WORK, + $ LDWORK ) END IF * * W := W * T or W * T**H * - CALL ZTRMM( 'Right', 'Lower', TRANS, 'Non-unit', - $ LASTC, K, ONE, T, LDT, WORK, LDWORK ) + CALL ZTRMM( 'Right', 'Lower', TRANS, 'Non-unit', M, K, + $ ONE, T, LDT, WORK, LDWORK ) * * C := C - W * V * - IF( LASTV.GT.K ) THEN + IF( N.GT.K ) THEN * * C1 := C1 - W * V1 * - CALL ZGEMM( 'No transpose', 'No transpose', - $ LASTC, LASTV-K, K, -ONE, WORK, LDWORK, V, LDV, - $ ONE, C, LDC ) + CALL ZGEMM( 'No transpose', 'No transpose', M, N-K, K, + $ -ONE, WORK, LDWORK, V, LDV, ONE, C, LDC ) END IF * * W := W * V2 * - CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit', - $ LASTC, K, ONE, V( 1, LASTV-K+1 ), LDV, - $ WORK, LDWORK ) + CALL ZTRMM( 'Right', 'Lower', 'No transpose', 'Unit', M, + $ K, ONE, V( 1, N-K+1 ), LDV, WORK, LDWORK ) * * C1 := C1 - W * DO 240 J = 1, K - DO 230 I = 1, LASTC - C( I, LASTV-K+J ) = C( I, LASTV-K+J ) - $ - WORK( I, J ) + DO 230 I = 1, M + C( I, N-K+J ) = C( I, N-K+J ) - WORK( I, J ) 230 CONTINUE 240 CONTINUE *