Merge pull request #4842 from martin-frbg/lapack1030

Fix typos and sytrd boundary workspace (Reference-LAPACK PR 1030)

lapack-netlib/SRC/cgehrd.f

@@ -163,7 +163,8 @@
 *> \endverbatim
 *>
 *  =====================================================================
-      SUBROUTINE CGEHRD( N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO )
+      SUBROUTINE CGEHRD( N, ILO, IHI, A, LDA, TAU, WORK, LWORK,
+     $                   INFO )
 *
 *  -- LAPACK computational routine --
 *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
@@ -193,7 +194,8 @@
       COMPLEX            EI
 *     ..
 *     .. External Subroutines ..
-      EXTERNAL           CAXPY, CGEHD2, CGEMM, CLAHR2, CLARFB, CTRMM,
+      EXTERNAL           CAXPY, CGEHD2, CGEMM, CLAHR2, CLARFB,
+     $                   CTRMM,
      $                   XERBLA
 *     ..
 *     .. Intrinsic Functions ..
@@ -230,7 +232,7 @@
          IF( NH.LE.1 ) THEN
             LWKOPT = 1
          ELSE
-            NB = MIN( NBMAX, ILAENV( 1, 'DGEHRD', ' ', N, ILO, IHI,
+            NB = MIN( NBMAX, ILAENV( 1, 'CGEHRD', ' ', N, ILO, IHI,
      $                              -1 ) )
             LWKOPT = N*NB + TSIZE
          END IF

lapack-netlib/SRC/chetrd.f

@@ -139,7 +139,7 @@
 *> \author Univ. of Colorado Denver
 *> \author NAG Ltd.
 *
-*> \ingroup complexHEcomputational
+*> \ingroup hetrd
 *
 *> \par Further Details:
 *  =====================
@@ -188,7 +188,8 @@
 *> \endverbatim
 *>
 *  =====================================================================
-      SUBROUTINE CHETRD( UPLO, N, A, LDA, D, E, TAU, WORK, LWORK, INFO )
+      SUBROUTINE CHETRD( UPLO, N, A, LDA, D, E, TAU, WORK, LWORK,
+     $                   INFO )
 *
 *  -- LAPACK computational routine --
 *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
@@ -225,7 +226,8 @@
 *     .. External Functions ..
       LOGICAL            LSAME
       INTEGER            ILAENV
-      EXTERNAL           LSAME, ILAENV
+      REAL               SROUNDUP_LWORK
+      EXTERNAL           LSAME, ILAENV, SROUNDUP_LWORK
 *     ..
 *     .. Executable Statements ..
 *
@@ -249,8 +251,8 @@
 *        Determine the block size.
 *
          NB = ILAENV( 1, 'CHETRD', UPLO, N, -1, -1, -1 )
-         LWKOPT = N*NB
-         WORK( 1 ) = LWKOPT
+         LWKOPT = MAX( 1, N*NB )
+         WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
       END IF
 *
       IF( INFO.NE.0 ) THEN
@@ -367,7 +369,7 @@
      $                TAU( I ), IINFO )
       END IF
 *
-      WORK( 1 ) = LWKOPT
+      WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
       RETURN
 *
 *     End of CHETRD

lapack-netlib/SRC/sgelqt.f

@@ -18,7 +18,7 @@
 *>
 *> \verbatim
 *>
-*> DGELQT computes a blocked LQ factorization of a real M-by-N matrix A
+*> SGELQT computes a blocked LQ factorization of a real M-by-N matrix A
 *> using the compact WY representation of Q.
 *> \endverbatim
 *
@@ -93,7 +93,7 @@
 *> \author Univ. of Colorado Denver
 *> \author NAG Ltd.
 *
-*> \ingroup doubleGEcomputational
+*> \ingroup gelqt
 *
 *> \par Further Details:
 *  =====================

lapack-netlib/SRC/sgemlq.f

@@ -74,7 +74,7 @@
 *>          A is REAL array, dimension
 *>                               (LDA,M) if SIDE = 'L',
 *>                               (LDA,N) if SIDE = 'R'
-*>          Part of the data structure to represent Q as returned by DGELQ.
+*>          Part of the data structure to represent Q as returned by SGELQ.
 *> \endverbatim
 *>
 *> \param[in] LDA

lapack-netlib/SRC/sgemlqt.f

@@ -20,7 +20,7 @@
 *>
 *> \verbatim
 *>
-*> DGEMLQT overwrites the general real M-by-N matrix C with
+*> SGEMLQT overwrites the general real M-by-N matrix C with
 *>
 *>                 SIDE = 'L'     SIDE = 'R'
 *> TRANS = 'N':      Q C            C Q
@@ -145,7 +145,7 @@
 *> \author Univ. of Colorado Denver
 *> \author NAG Ltd.
 *
-*> \ingroup doubleGEcomputational
+*> \ingroup gemlqt
 *
 *  =====================================================================
       SUBROUTINE SGEMLQT( SIDE, TRANS, M, N, K, MB, V, LDV, T, LDT,

lapack-netlib/SRC/ssytrd.f

@@ -188,7 +188,8 @@
 *> \endverbatim
 *>
 *  =====================================================================
-      SUBROUTINE SSYTRD( UPLO, N, A, LDA, D, E, TAU, WORK, LWORK, INFO )
+      SUBROUTINE SSYTRD( UPLO, N, A, LDA, D, E, TAU, WORK, LWORK,
+     $                   INFO )
 *
 *  -- LAPACK computational routine --
 *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
@@ -248,7 +249,7 @@
 *        Determine the block size.
 *
          NB = ILAENV( 1, 'SSYTRD', UPLO, N, -1, -1, -1 )
-         LWKOPT = N*NB
+         LWKOPT = MAX( 1, N*NB )
          WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
       END IF
 *
@@ -316,7 +317,8 @@
 *           Update the unreduced submatrix A(1:i-1,1:i-1), using an
 *           update of the form:  A := A - V*W**T - W*V**T
 *
-            CALL SSYR2K( UPLO, 'No transpose', I-1, NB, -ONE, A( 1, I ),
+            CALL SSYR2K( UPLO, 'No transpose', I-1, NB, -ONE, A( 1,
+     $                   I ),
      $                   LDA, WORK, LDWORK, ONE, A, LDA )
 *
 *           Copy superdiagonal elements back into A, and diagonal

lapack-netlib/SRC/zhetrd.f

@@ -139,7 +139,7 @@
 *> \author Univ. of Colorado Denver
 *> \author NAG Ltd.
 *
-*> \ingroup complex16HEcomputational
+*> \ingroup hetrd
 *
 *> \par Further Details:
 *  =====================
@@ -188,7 +188,8 @@
 *> \endverbatim
 *>
 *  =====================================================================
-      SUBROUTINE ZHETRD( UPLO, N, A, LDA, D, E, TAU, WORK, LWORK, INFO )
+      SUBROUTINE ZHETRD( UPLO, N, A, LDA, D, E, TAU, WORK, LWORK,
+     $                   INFO )
 *
 *  -- LAPACK computational routine --
 *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
@@ -249,7 +250,7 @@
 *        Determine the block size.
 *
          NB = ILAENV( 1, 'ZHETRD', UPLO, N, -1, -1, -1 )
-         LWKOPT = N*NB
+         LWKOPT = MAX( 1, N*NB )
          WORK( 1 ) = LWKOPT
       END IF
 *