SCALAPACK 2.2.2
LAPACK: Linear Algebra PACKage
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◆ zhescal()

subroutine zhescal ( character*1  uplo,
integer  m,
integer  n,
integer  ioffd,
double precision  alpha,
complex*16, dimension( lda, * )  a,
integer  lda 
)

Definition at line 1 of file zhescal.f.

2*
3* -- PBLAS auxiliary routine (version 2.0) --
4* University of Tennessee, Knoxville, Oak Ridge National Laboratory,
5* and University of California, Berkeley.
6* April 1, 1998
7*
8* .. Scalar Arguments ..
9 CHARACTER*1 UPLO
10 INTEGER IOFFD, LDA, M, N
11 DOUBLE PRECISION ALPHA
12* ..
13* .. Array Arguments ..
14 COMPLEX*16 A( LDA, * )
15* ..
16*
17* Purpose
18* =======
19*
20* ZHESCAL scales a two-dimensional array A by the real scalar alpha.
21* The diagonal entries specified by IOFFD of A are supposed to be real.
22*
23* Arguments
24* =========
25*
26* UPLO (input) CHARACTER*1
27* On entry, UPLO specifies which trapezoidal part of the ar-
28* ray A is to be scaled as follows:
29* = 'L' or 'l': the lower trapezoid of A is scaled,
30* = 'U' or 'u': the upper trapezoid of A is scaled,
31* = 'D' or 'd': diagonal specified by IOFFD is scaled,
32* Otherwise: all of the array A is scaled.
33*
34* M (input) INTEGER
35* On entry, M specifies the number of rows of the array A. M
36* must be at least zero.
37*
38* N (input) INTEGER
39* On entry, N specifies the number of columns of the array A.
40* N must be at least zero.
41*
42* IOFFD (input) INTEGER
43* On entry, IOFFD specifies the position of the offdiagonal de-
44* limiting the upper and lower trapezoidal part of A as follows
45* (see the notes below):
46*
47* IOFFD = 0 specifies the main diagonal A( i, i ),
48* with i = 1 ... MIN( M, N ),
49* IOFFD > 0 specifies the subdiagonal A( i+IOFFD, i ),
50* with i = 1 ... MIN( M-IOFFD, N ),
51* IOFFD < 0 specifies the superdiagonal A( i, i-IOFFD ),
52* with i = 1 ... MIN( M, N+IOFFD ).
53*
54* ALPHA (input) DOUBLE PRECISION
55* On entry, ALPHA specifies the scalar alpha, i.e., the value
56* by which the diagonal and offdiagonal entries of the array A
57* as specified by UPLO and IOFFD are scaled.
58*
59* A (input/output) COMPLEX*16 array
60* On entry, A is an array of dimension (LDA,N). Before entry
61* with UPLO = 'U' or 'u', the leading m by n part of the array
62* A must contain the upper trapezoidal part of the Hermitian
63* matrix to be scaled as specified by IOFFD, and the strictly
64* lower trapezoidal part of A is not referenced. When UPLO is
65* 'L' or 'l', the leading m by n part of the array A must con-
66* tain the lower trapezoidal part of the Hermitian matrix to be
67* scaled as specified by IOFFD, and the strictly upper trape-
68* zoidal part of A is not referenced. On exit, the entries of
69* the trapezoid part of A determined by UPLO and IOFFD are sca-
70* led.
71*
72* LDA (input) INTEGER
73* On entry, LDA specifies the leading dimension of the array A.
74* LDA must be at least max( 1, M ).
75*
76* Notes
77* =====
78* N N
79* ---------------------------- -----------
80* | d | | |
81* M | d 'U' | | 'U' |
82* | 'L' 'D' | |d |
83* | d | M | d |
84* ---------------------------- | 'D' |
85* | d |
86* IOFFD < 0 | 'L' d |
87* | d|
88* N | |
89* ----------- -----------
90* | d 'U'|
91* | d | IOFFD > 0
92* M | 'D' |
93* | d| N
94* | 'L' | ----------------------------
95* | | | 'U' |
96* | | |d |
97* | | | 'D' |
98* | | | d |
99* | | |'L' d |
100* ----------- ----------------------------
101*
102* -- Written on April 1, 1998 by
103* Antoine Petitet, University of Tennessee, Knoxville 37996, USA.
104*
105* =====================================================================
106*
107* .. Parameters ..
108 DOUBLE PRECISION RONE, RZERO
109 parameter( rone = 1.0d+0, rzero = 0.0d+0 )
110 COMPLEX*16 ZERO
111 parameter( zero = ( 0.0d+0, 0.0d+0 ) )
112* ..
113* .. Local Scalars ..
114 INTEGER J, JTMP, MN
115* ..
116* .. External Subroutines ..
117 EXTERNAL zdscal, ztzpad
118* ..
119* .. External Functions ..
120 LOGICAL LSAME
121 EXTERNAL lsame
122* ..
123* .. Intrinsic Functions ..
124 INTRINSIC dble, dcmplx, max, min
125* ..
126* .. Executable Statements ..
127*
128* Quick return if possible
129*
130 IF( m.LE.0 .OR. n.LE.0 )
131 $ RETURN
132*
133* Start the operations
134*
135 IF( alpha.EQ.rone ) THEN
136*
137* Zeros the imaginary part of the diagonals
138*
139 IF( lsame( uplo, 'L' ).OR.lsame( uplo, 'U' ).OR.
140 $ lsame( uplo, 'D' ) ) THEN
141 DO 10 j = max( 0, -ioffd ) + 1, min( m - ioffd, n )
142 jtmp = j + ioffd
143 a( jtmp, j ) = dcmplx( dble( a( jtmp, j ) ), rzero )
144 10 CONTINUE
145 END IF
146 RETURN
147 ELSE IF( alpha.EQ.rzero ) THEN
148 CALL ztzpad( uplo, 'N', m, n, ioffd, zero, zero, a, lda )
149 RETURN
150 END IF
151*
152 IF( lsame( uplo, 'L' ) ) THEN
153*
154* Scales the lower triangular part of the array by ALPHA.
155*
156 mn = max( 0, -ioffd )
157 DO 20 j = 1, min( mn, n )
158 CALL zdscal( m, alpha, a( 1, j ), 1 )
159 20 CONTINUE
160 DO 30 j = mn + 1, min( m - ioffd, n )
161 jtmp = j + ioffd
162 a( jtmp, j ) = dcmplx( alpha * dble( a( jtmp, j ) ), rzero )
163 IF( m.GT.jtmp )
164 $ CALL zdscal( m-jtmp, alpha, a( jtmp + 1, j ), 1 )
165 30 CONTINUE
166*
167 ELSE IF( lsame( uplo, 'U' ) ) THEN
168*
169* Scales the upper triangular part of the array by ALPHA.
170*
171 mn = min( m - ioffd, n )
172 DO 40 j = max( 0, -ioffd ) + 1, mn
173 jtmp = j + ioffd
174 CALL zdscal( jtmp - 1, alpha, a( 1, j ), 1 )
175 a( jtmp, j ) = dcmplx( alpha * dble( a( jtmp, j ) ), rzero )
176 40 CONTINUE
177 DO 50 j = max( 0, mn ) + 1, n
178 CALL zdscal( m, alpha, a( 1, j ), 1 )
179 50 CONTINUE
180*
181 ELSE IF( lsame( uplo, 'D' ) ) THEN
182*
183* Scales the diagonal entries by ALPHA.
184*
185 DO 60 j = max( 0, -ioffd ) + 1, min( m - ioffd, n )
186 jtmp = j + ioffd
187 a( jtmp, j ) = dcmplx( alpha * dble( a( jtmp, j ) ), rzero )
188 60 CONTINUE
189*
190 ELSE
191*
192* Scales the entire array by ALPHA.
193*
194 DO 70 j = 1, n
195 CALL zdscal( m, alpha, a( 1, j ), 1 )
196 70 CONTINUE
197*
198 END IF
199*
200 RETURN
201*
202* End of ZHESCAL
203*
max
#define max(A, B)
Definition pcgemr.c:180
min
#define min(A, B)
Definition pcgemr.c:181
lsame
logical function lsame(ca, cb)
Definition tools.f:1724
ztzpad
subroutine ztzpad(uplo, herm, m, n, ioffd, alpha, beta, a, lda)
Definition ztzpad.f:2
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