LAPACK  3.8.0 LAPACK: Linear Algebra PACKage

## ◆ dlauu2()

 subroutine dlauu2 ( character UPLO, integer N, double precision, dimension( lda, * ) A, integer LDA, integer INFO )

DLAUU2 computes the product UUH or LHL, where U and L are upper or lower triangular matrices (unblocked algorithm).

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Purpose:
``` DLAUU2 computes the product U * U**T or L**T * L, where the triangular
factor U or L is stored in the upper or lower triangular part of
the array A.

If UPLO = 'U' or 'u' then the upper triangle of the result is stored,
overwriting the factor U in A.
If UPLO = 'L' or 'l' then the lower triangle of the result is stored,
overwriting the factor L in A.

This is the unblocked form of the algorithm, calling Level 2 BLAS.```
Parameters
 [in] UPLO ``` UPLO is CHARACTER*1 Specifies whether the triangular factor stored in the array A is upper or lower triangular: = 'U': Upper triangular = 'L': Lower triangular``` [in] N ``` N is INTEGER The order of the triangular factor U or L. N >= 0.``` [in,out] A ``` A is DOUBLE PRECISION array, dimension (LDA,N) On entry, the triangular factor U or L. On exit, if UPLO = 'U', the upper triangle of A is overwritten with the upper triangle of the product U * U**T; if UPLO = 'L', the lower triangle of A is overwritten with the lower triangle of the product L**T * L.``` [in] LDA ``` LDA is INTEGER The leading dimension of the array A. LDA >= max(1,N).``` [out] INFO ``` INFO is INTEGER = 0: successful exit < 0: if INFO = -k, the k-th argument had an illegal value```
Date
December 2016

Definition at line 104 of file dlauu2.f.

104 *
105 * -- LAPACK auxiliary routine (version 3.7.0) --
106 * -- LAPACK is a software package provided by Univ. of Tennessee, --
107 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
108 * December 2016
109 *
110 * .. Scalar Arguments ..
111  CHARACTER uplo
112  INTEGER info, lda, n
113 * ..
114 * .. Array Arguments ..
115  DOUBLE PRECISION a( lda, * )
116 * ..
117 *
118 * =====================================================================
119 *
120 * .. Parameters ..
121  DOUBLE PRECISION one
122  parameter( one = 1.0d+0 )
123 * ..
124 * .. Local Scalars ..
125  LOGICAL upper
126  INTEGER i
127  DOUBLE PRECISION aii
128 * ..
129 * .. External Functions ..
130  LOGICAL lsame
131  DOUBLE PRECISION ddot
132  EXTERNAL lsame, ddot
133 * ..
134 * .. External Subroutines ..
135  EXTERNAL dgemv, dscal, xerbla
136 * ..
137 * .. Intrinsic Functions ..
138  INTRINSIC max
139 * ..
140 * .. Executable Statements ..
141 *
142 * Test the input parameters.
143 *
144  info = 0
145  upper = lsame( uplo, 'U' )
146  IF( .NOT.upper .AND. .NOT.lsame( uplo, 'L' ) ) THEN
147  info = -1
148  ELSE IF( n.LT.0 ) THEN
149  info = -2
150  ELSE IF( lda.LT.max( 1, n ) ) THEN
151  info = -4
152  END IF
153  IF( info.NE.0 ) THEN
154  CALL xerbla( 'DLAUU2', -info )
155  RETURN
156  END IF
157 *
158 * Quick return if possible
159 *
160  IF( n.EQ.0 )
161  \$ RETURN
162 *
163  IF( upper ) THEN
164 *
165 * Compute the product U * U**T.
166 *
167  DO 10 i = 1, n
168  aii = a( i, i )
169  IF( i.LT.n ) THEN
170  a( i, i ) = ddot( n-i+1, a( i, i ), lda, a( i, i ), lda )
171  CALL dgemv( 'No transpose', i-1, n-i, one, a( 1, i+1 ),
172  \$ lda, a( i, i+1 ), lda, aii, a( 1, i ), 1 )
173  ELSE
174  CALL dscal( i, aii, a( 1, i ), 1 )
175  END IF
176  10 CONTINUE
177 *
178  ELSE
179 *
180 * Compute the product L**T * L.
181 *
182  DO 20 i = 1, n
183  aii = a( i, i )
184  IF( i.LT.n ) THEN
185  a( i, i ) = ddot( n-i+1, a( i, i ), 1, a( i, i ), 1 )
186  CALL dgemv( 'Transpose', n-i, i-1, one, a( i+1, 1 ), lda,
187  \$ a( i+1, i ), 1, aii, a( i, 1 ), lda )
188  ELSE
189  CALL dscal( i, aii, a( i, 1 ), lda )
190  END IF
191  20 CONTINUE
192  END IF
193 *
194  RETURN
195 *
196 * End of DLAUU2
197 *
logical function lsame(CA, CB)
LSAME
Definition: lsame.f:55
subroutine dscal(N, DA, DX, INCX)
DSCAL
Definition: dscal.f:81
double precision function ddot(N, DX, INCX, DY, INCY)
DDOT
Definition: ddot.f:84
subroutine xerbla(SRNAME, INFO)
XERBLA
Definition: xerbla.f:62
subroutine dgemv(TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
DGEMV
Definition: dgemv.f:158
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