LAPACK  3.10.0 LAPACK: Linear Algebra PACKage

## ◆ zlarfx()

 subroutine zlarfx ( character SIDE, integer M, integer N, complex*16, dimension( * ) V, complex*16 TAU, complex*16, dimension( ldc, * ) C, integer LDC, complex*16, dimension( * ) WORK )

ZLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10.

Purpose:
``` ZLARFX applies a complex elementary reflector H to a complex m by n
matrix C, from either the left or the right. H is represented in the
form

H = I - tau * v * v**H

where tau is a complex scalar and v is a complex vector.

If tau = 0, then H is taken to be the unit matrix

This version uses inline code if H has order < 11.```
Parameters
 [in] SIDE ``` SIDE is CHARACTER*1 = 'L': form H * C = 'R': form C * H``` [in] M ``` M is INTEGER The number of rows of the matrix C.``` [in] N ``` N is INTEGER The number of columns of the matrix C.``` [in] V ``` V is COMPLEX*16 array, dimension (M) if SIDE = 'L' or (N) if SIDE = 'R' The vector v in the representation of H.``` [in] TAU ``` TAU is COMPLEX*16 The value tau in the representation of H.``` [in,out] C ``` C is COMPLEX*16 array, dimension (LDC,N) On entry, the m by n matrix C. On exit, C is overwritten by the matrix H * C if SIDE = 'L', or C * H if SIDE = 'R'.``` [in] LDC ``` LDC is INTEGER The leading dimension of the array C. LDC >= max(1,M).``` [out] WORK ``` WORK is COMPLEX*16 array, dimension (N) if SIDE = 'L' or (M) if SIDE = 'R' WORK is not referenced if H has order < 11.```

Definition at line 118 of file zlarfx.f.

119 *
120 * -- LAPACK auxiliary routine --
121 * -- LAPACK is a software package provided by Univ. of Tennessee, --
122 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
123 *
124 * .. Scalar Arguments ..
125  CHARACTER SIDE
126  INTEGER LDC, M, N
127  COMPLEX*16 TAU
128 * ..
129 * .. Array Arguments ..
130  COMPLEX*16 C( LDC, * ), V( * ), WORK( * )
131 * ..
132 *
133 * =====================================================================
134 *
135 * .. Parameters ..
136  COMPLEX*16 ZERO, ONE
137  parameter( zero = ( 0.0d+0, 0.0d+0 ),
138  \$ one = ( 1.0d+0, 0.0d+0 ) )
139 * ..
140 * .. Local Scalars ..
141  INTEGER J
142  COMPLEX*16 SUM, T1, T10, T2, T3, T4, T5, T6, T7, T8, T9,
143  \$ V1, V10, V2, V3, V4, V5, V6, V7, V8, V9
144 * ..
145 * .. External Functions ..
146  LOGICAL LSAME
147  EXTERNAL lsame
148 * ..
149 * .. External Subroutines ..
150  EXTERNAL zlarf
151 * ..
152 * .. Intrinsic Functions ..
153  INTRINSIC dconjg
154 * ..
155 * .. Executable Statements ..
156 *
157  IF( tau.EQ.zero )
158  \$ RETURN
159  IF( lsame( side, 'L' ) ) THEN
160 *
161 * Form H * C, where H has order m.
162 *
163  GO TO ( 10, 30, 50, 70, 90, 110, 130, 150,
164  \$ 170, 190 )m
165 *
166 * Code for general M
167 *
168  CALL zlarf( side, m, n, v, 1, tau, c, ldc, work )
169  GO TO 410
170  10 CONTINUE
171 *
172 * Special code for 1 x 1 Householder
173 *
174  t1 = one - tau*v( 1 )*dconjg( v( 1 ) )
175  DO 20 j = 1, n
176  c( 1, j ) = t1*c( 1, j )
177  20 CONTINUE
178  GO TO 410
179  30 CONTINUE
180 *
181 * Special code for 2 x 2 Householder
182 *
183  v1 = dconjg( v( 1 ) )
184  t1 = tau*dconjg( v1 )
185  v2 = dconjg( v( 2 ) )
186  t2 = tau*dconjg( v2 )
187  DO 40 j = 1, n
188  sum = v1*c( 1, j ) + v2*c( 2, j )
189  c( 1, j ) = c( 1, j ) - sum*t1
190  c( 2, j ) = c( 2, j ) - sum*t2
191  40 CONTINUE
192  GO TO 410
193  50 CONTINUE
194 *
195 * Special code for 3 x 3 Householder
196 *
197  v1 = dconjg( v( 1 ) )
198  t1 = tau*dconjg( v1 )
199  v2 = dconjg( v( 2 ) )
200  t2 = tau*dconjg( v2 )
201  v3 = dconjg( v( 3 ) )
202  t3 = tau*dconjg( v3 )
203  DO 60 j = 1, n
204  sum = v1*c( 1, j ) + v2*c( 2, j ) + v3*c( 3, j )
205  c( 1, j ) = c( 1, j ) - sum*t1
206  c( 2, j ) = c( 2, j ) - sum*t2
207  c( 3, j ) = c( 3, j ) - sum*t3
208  60 CONTINUE
209  GO TO 410
210  70 CONTINUE
211 *
212 * Special code for 4 x 4 Householder
213 *
214  v1 = dconjg( v( 1 ) )
215  t1 = tau*dconjg( v1 )
216  v2 = dconjg( v( 2 ) )
217  t2 = tau*dconjg( v2 )
218  v3 = dconjg( v( 3 ) )
219  t3 = tau*dconjg( v3 )
220  v4 = dconjg( v( 4 ) )
221  t4 = tau*dconjg( v4 )
222  DO 80 j = 1, n
223  sum = v1*c( 1, j ) + v2*c( 2, j ) + v3*c( 3, j ) +
224  \$ v4*c( 4, j )
225  c( 1, j ) = c( 1, j ) - sum*t1
226  c( 2, j ) = c( 2, j ) - sum*t2
227  c( 3, j ) = c( 3, j ) - sum*t3
228  c( 4, j ) = c( 4, j ) - sum*t4
229  80 CONTINUE
230  GO TO 410
231  90 CONTINUE
232 *
233 * Special code for 5 x 5 Householder
234 *
235  v1 = dconjg( v( 1 ) )
236  t1 = tau*dconjg( v1 )
237  v2 = dconjg( v( 2 ) )
238  t2 = tau*dconjg( v2 )
239  v3 = dconjg( v( 3 ) )
240  t3 = tau*dconjg( v3 )
241  v4 = dconjg( v( 4 ) )
242  t4 = tau*dconjg( v4 )
243  v5 = dconjg( v( 5 ) )
244  t5 = tau*dconjg( v5 )
245  DO 100 j = 1, n
246  sum = v1*c( 1, j ) + v2*c( 2, j ) + v3*c( 3, j ) +
247  \$ v4*c( 4, j ) + v5*c( 5, j )
248  c( 1, j ) = c( 1, j ) - sum*t1
249  c( 2, j ) = c( 2, j ) - sum*t2
250  c( 3, j ) = c( 3, j ) - sum*t3
251  c( 4, j ) = c( 4, j ) - sum*t4
252  c( 5, j ) = c( 5, j ) - sum*t5
253  100 CONTINUE
254  GO TO 410
255  110 CONTINUE
256 *
257 * Special code for 6 x 6 Householder
258 *
259  v1 = dconjg( v( 1 ) )
260  t1 = tau*dconjg( v1 )
261  v2 = dconjg( v( 2 ) )
262  t2 = tau*dconjg( v2 )
263  v3 = dconjg( v( 3 ) )
264  t3 = tau*dconjg( v3 )
265  v4 = dconjg( v( 4 ) )
266  t4 = tau*dconjg( v4 )
267  v5 = dconjg( v( 5 ) )
268  t5 = tau*dconjg( v5 )
269  v6 = dconjg( v( 6 ) )
270  t6 = tau*dconjg( v6 )
271  DO 120 j = 1, n
272  sum = v1*c( 1, j ) + v2*c( 2, j ) + v3*c( 3, j ) +
273  \$ v4*c( 4, j ) + v5*c( 5, j ) + v6*c( 6, j )
274  c( 1, j ) = c( 1, j ) - sum*t1
275  c( 2, j ) = c( 2, j ) - sum*t2
276  c( 3, j ) = c( 3, j ) - sum*t3
277  c( 4, j ) = c( 4, j ) - sum*t4
278  c( 5, j ) = c( 5, j ) - sum*t5
279  c( 6, j ) = c( 6, j ) - sum*t6
280  120 CONTINUE
281  GO TO 410
282  130 CONTINUE
283 *
284 * Special code for 7 x 7 Householder
285 *
286  v1 = dconjg( v( 1 ) )
287  t1 = tau*dconjg( v1 )
288  v2 = dconjg( v( 2 ) )
289  t2 = tau*dconjg( v2 )
290  v3 = dconjg( v( 3 ) )
291  t3 = tau*dconjg( v3 )
292  v4 = dconjg( v( 4 ) )
293  t4 = tau*dconjg( v4 )
294  v5 = dconjg( v( 5 ) )
295  t5 = tau*dconjg( v5 )
296  v6 = dconjg( v( 6 ) )
297  t6 = tau*dconjg( v6 )
298  v7 = dconjg( v( 7 ) )
299  t7 = tau*dconjg( v7 )
300  DO 140 j = 1, n
301  sum = v1*c( 1, j ) + v2*c( 2, j ) + v3*c( 3, j ) +
302  \$ v4*c( 4, j ) + v5*c( 5, j ) + v6*c( 6, j ) +
303  \$ v7*c( 7, j )
304  c( 1, j ) = c( 1, j ) - sum*t1
305  c( 2, j ) = c( 2, j ) - sum*t2
306  c( 3, j ) = c( 3, j ) - sum*t3
307  c( 4, j ) = c( 4, j ) - sum*t4
308  c( 5, j ) = c( 5, j ) - sum*t5
309  c( 6, j ) = c( 6, j ) - sum*t6
310  c( 7, j ) = c( 7, j ) - sum*t7
311  140 CONTINUE
312  GO TO 410
313  150 CONTINUE
314 *
315 * Special code for 8 x 8 Householder
316 *
317  v1 = dconjg( v( 1 ) )
318  t1 = tau*dconjg( v1 )
319  v2 = dconjg( v( 2 ) )
320  t2 = tau*dconjg( v2 )
321  v3 = dconjg( v( 3 ) )
322  t3 = tau*dconjg( v3 )
323  v4 = dconjg( v( 4 ) )
324  t4 = tau*dconjg( v4 )
325  v5 = dconjg( v( 5 ) )
326  t5 = tau*dconjg( v5 )
327  v6 = dconjg( v( 6 ) )
328  t6 = tau*dconjg( v6 )
329  v7 = dconjg( v( 7 ) )
330  t7 = tau*dconjg( v7 )
331  v8 = dconjg( v( 8 ) )
332  t8 = tau*dconjg( v8 )
333  DO 160 j = 1, n
334  sum = v1*c( 1, j ) + v2*c( 2, j ) + v3*c( 3, j ) +
335  \$ v4*c( 4, j ) + v5*c( 5, j ) + v6*c( 6, j ) +
336  \$ v7*c( 7, j ) + v8*c( 8, j )
337  c( 1, j ) = c( 1, j ) - sum*t1
338  c( 2, j ) = c( 2, j ) - sum*t2
339  c( 3, j ) = c( 3, j ) - sum*t3
340  c( 4, j ) = c( 4, j ) - sum*t4
341  c( 5, j ) = c( 5, j ) - sum*t5
342  c( 6, j ) = c( 6, j ) - sum*t6
343  c( 7, j ) = c( 7, j ) - sum*t7
344  c( 8, j ) = c( 8, j ) - sum*t8
345  160 CONTINUE
346  GO TO 410
347  170 CONTINUE
348 *
349 * Special code for 9 x 9 Householder
350 *
351  v1 = dconjg( v( 1 ) )
352  t1 = tau*dconjg( v1 )
353  v2 = dconjg( v( 2 ) )
354  t2 = tau*dconjg( v2 )
355  v3 = dconjg( v( 3 ) )
356  t3 = tau*dconjg( v3 )
357  v4 = dconjg( v( 4 ) )
358  t4 = tau*dconjg( v4 )
359  v5 = dconjg( v( 5 ) )
360  t5 = tau*dconjg( v5 )
361  v6 = dconjg( v( 6 ) )
362  t6 = tau*dconjg( v6 )
363  v7 = dconjg( v( 7 ) )
364  t7 = tau*dconjg( v7 )
365  v8 = dconjg( v( 8 ) )
366  t8 = tau*dconjg( v8 )
367  v9 = dconjg( v( 9 ) )
368  t9 = tau*dconjg( v9 )
369  DO 180 j = 1, n
370  sum = v1*c( 1, j ) + v2*c( 2, j ) + v3*c( 3, j ) +
371  \$ v4*c( 4, j ) + v5*c( 5, j ) + v6*c( 6, j ) +
372  \$ v7*c( 7, j ) + v8*c( 8, j ) + v9*c( 9, j )
373  c( 1, j ) = c( 1, j ) - sum*t1
374  c( 2, j ) = c( 2, j ) - sum*t2
375  c( 3, j ) = c( 3, j ) - sum*t3
376  c( 4, j ) = c( 4, j ) - sum*t4
377  c( 5, j ) = c( 5, j ) - sum*t5
378  c( 6, j ) = c( 6, j ) - sum*t6
379  c( 7, j ) = c( 7, j ) - sum*t7
380  c( 8, j ) = c( 8, j ) - sum*t8
381  c( 9, j ) = c( 9, j ) - sum*t9
382  180 CONTINUE
383  GO TO 410
384  190 CONTINUE
385 *
386 * Special code for 10 x 10 Householder
387 *
388  v1 = dconjg( v( 1 ) )
389  t1 = tau*dconjg( v1 )
390  v2 = dconjg( v( 2 ) )
391  t2 = tau*dconjg( v2 )
392  v3 = dconjg( v( 3 ) )
393  t3 = tau*dconjg( v3 )
394  v4 = dconjg( v( 4 ) )
395  t4 = tau*dconjg( v4 )
396  v5 = dconjg( v( 5 ) )
397  t5 = tau*dconjg( v5 )
398  v6 = dconjg( v( 6 ) )
399  t6 = tau*dconjg( v6 )
400  v7 = dconjg( v( 7 ) )
401  t7 = tau*dconjg( v7 )
402  v8 = dconjg( v( 8 ) )
403  t8 = tau*dconjg( v8 )
404  v9 = dconjg( v( 9 ) )
405  t9 = tau*dconjg( v9 )
406  v10 = dconjg( v( 10 ) )
407  t10 = tau*dconjg( v10 )
408  DO 200 j = 1, n
409  sum = v1*c( 1, j ) + v2*c( 2, j ) + v3*c( 3, j ) +
410  \$ v4*c( 4, j ) + v5*c( 5, j ) + v6*c( 6, j ) +
411  \$ v7*c( 7, j ) + v8*c( 8, j ) + v9*c( 9, j ) +
412  \$ v10*c( 10, j )
413  c( 1, j ) = c( 1, j ) - sum*t1
414  c( 2, j ) = c( 2, j ) - sum*t2
415  c( 3, j ) = c( 3, j ) - sum*t3
416  c( 4, j ) = c( 4, j ) - sum*t4
417  c( 5, j ) = c( 5, j ) - sum*t5
418  c( 6, j ) = c( 6, j ) - sum*t6
419  c( 7, j ) = c( 7, j ) - sum*t7
420  c( 8, j ) = c( 8, j ) - sum*t8
421  c( 9, j ) = c( 9, j ) - sum*t9
422  c( 10, j ) = c( 10, j ) - sum*t10
423  200 CONTINUE
424  GO TO 410
425  ELSE
426 *
427 * Form C * H, where H has order n.
428 *
429  GO TO ( 210, 230, 250, 270, 290, 310, 330, 350,
430  \$ 370, 390 )n
431 *
432 * Code for general N
433 *
434  CALL zlarf( side, m, n, v, 1, tau, c, ldc, work )
435  GO TO 410
436  210 CONTINUE
437 *
438 * Special code for 1 x 1 Householder
439 *
440  t1 = one - tau*v( 1 )*dconjg( v( 1 ) )
441  DO 220 j = 1, m
442  c( j, 1 ) = t1*c( j, 1 )
443  220 CONTINUE
444  GO TO 410
445  230 CONTINUE
446 *
447 * Special code for 2 x 2 Householder
448 *
449  v1 = v( 1 )
450  t1 = tau*dconjg( v1 )
451  v2 = v( 2 )
452  t2 = tau*dconjg( v2 )
453  DO 240 j = 1, m
454  sum = v1*c( j, 1 ) + v2*c( j, 2 )
455  c( j, 1 ) = c( j, 1 ) - sum*t1
456  c( j, 2 ) = c( j, 2 ) - sum*t2
457  240 CONTINUE
458  GO TO 410
459  250 CONTINUE
460 *
461 * Special code for 3 x 3 Householder
462 *
463  v1 = v( 1 )
464  t1 = tau*dconjg( v1 )
465  v2 = v( 2 )
466  t2 = tau*dconjg( v2 )
467  v3 = v( 3 )
468  t3 = tau*dconjg( v3 )
469  DO 260 j = 1, m
470  sum = v1*c( j, 1 ) + v2*c( j, 2 ) + v3*c( j, 3 )
471  c( j, 1 ) = c( j, 1 ) - sum*t1
472  c( j, 2 ) = c( j, 2 ) - sum*t2
473  c( j, 3 ) = c( j, 3 ) - sum*t3
474  260 CONTINUE
475  GO TO 410
476  270 CONTINUE
477 *
478 * Special code for 4 x 4 Householder
479 *
480  v1 = v( 1 )
481  t1 = tau*dconjg( v1 )
482  v2 = v( 2 )
483  t2 = tau*dconjg( v2 )
484  v3 = v( 3 )
485  t3 = tau*dconjg( v3 )
486  v4 = v( 4 )
487  t4 = tau*dconjg( v4 )
488  DO 280 j = 1, m
489  sum = v1*c( j, 1 ) + v2*c( j, 2 ) + v3*c( j, 3 ) +
490  \$ v4*c( j, 4 )
491  c( j, 1 ) = c( j, 1 ) - sum*t1
492  c( j, 2 ) = c( j, 2 ) - sum*t2
493  c( j, 3 ) = c( j, 3 ) - sum*t3
494  c( j, 4 ) = c( j, 4 ) - sum*t4
495  280 CONTINUE
496  GO TO 410
497  290 CONTINUE
498 *
499 * Special code for 5 x 5 Householder
500 *
501  v1 = v( 1 )
502  t1 = tau*dconjg( v1 )
503  v2 = v( 2 )
504  t2 = tau*dconjg( v2 )
505  v3 = v( 3 )
506  t3 = tau*dconjg( v3 )
507  v4 = v( 4 )
508  t4 = tau*dconjg( v4 )
509  v5 = v( 5 )
510  t5 = tau*dconjg( v5 )
511  DO 300 j = 1, m
512  sum = v1*c( j, 1 ) + v2*c( j, 2 ) + v3*c( j, 3 ) +
513  \$ v4*c( j, 4 ) + v5*c( j, 5 )
514  c( j, 1 ) = c( j, 1 ) - sum*t1
515  c( j, 2 ) = c( j, 2 ) - sum*t2
516  c( j, 3 ) = c( j, 3 ) - sum*t3
517  c( j, 4 ) = c( j, 4 ) - sum*t4
518  c( j, 5 ) = c( j, 5 ) - sum*t5
519  300 CONTINUE
520  GO TO 410
521  310 CONTINUE
522 *
523 * Special code for 6 x 6 Householder
524 *
525  v1 = v( 1 )
526  t1 = tau*dconjg( v1 )
527  v2 = v( 2 )
528  t2 = tau*dconjg( v2 )
529  v3 = v( 3 )
530  t3 = tau*dconjg( v3 )
531  v4 = v( 4 )
532  t4 = tau*dconjg( v4 )
533  v5 = v( 5 )
534  t5 = tau*dconjg( v5 )
535  v6 = v( 6 )
536  t6 = tau*dconjg( v6 )
537  DO 320 j = 1, m
538  sum = v1*c( j, 1 ) + v2*c( j, 2 ) + v3*c( j, 3 ) +
539  \$ v4*c( j, 4 ) + v5*c( j, 5 ) + v6*c( j, 6 )
540  c( j, 1 ) = c( j, 1 ) - sum*t1
541  c( j, 2 ) = c( j, 2 ) - sum*t2
542  c( j, 3 ) = c( j, 3 ) - sum*t3
543  c( j, 4 ) = c( j, 4 ) - sum*t4
544  c( j, 5 ) = c( j, 5 ) - sum*t5
545  c( j, 6 ) = c( j, 6 ) - sum*t6
546  320 CONTINUE
547  GO TO 410
548  330 CONTINUE
549 *
550 * Special code for 7 x 7 Householder
551 *
552  v1 = v( 1 )
553  t1 = tau*dconjg( v1 )
554  v2 = v( 2 )
555  t2 = tau*dconjg( v2 )
556  v3 = v( 3 )
557  t3 = tau*dconjg( v3 )
558  v4 = v( 4 )
559  t4 = tau*dconjg( v4 )
560  v5 = v( 5 )
561  t5 = tau*dconjg( v5 )
562  v6 = v( 6 )
563  t6 = tau*dconjg( v6 )
564  v7 = v( 7 )
565  t7 = tau*dconjg( v7 )
566  DO 340 j = 1, m
567  sum = v1*c( j, 1 ) + v2*c( j, 2 ) + v3*c( j, 3 ) +
568  \$ v4*c( j, 4 ) + v5*c( j, 5 ) + v6*c( j, 6 ) +
569  \$ v7*c( j, 7 )
570  c( j, 1 ) = c( j, 1 ) - sum*t1
571  c( j, 2 ) = c( j, 2 ) - sum*t2
572  c( j, 3 ) = c( j, 3 ) - sum*t3
573  c( j, 4 ) = c( j, 4 ) - sum*t4
574  c( j, 5 ) = c( j, 5 ) - sum*t5
575  c( j, 6 ) = c( j, 6 ) - sum*t6
576  c( j, 7 ) = c( j, 7 ) - sum*t7
577  340 CONTINUE
578  GO TO 410
579  350 CONTINUE
580 *
581 * Special code for 8 x 8 Householder
582 *
583  v1 = v( 1 )
584  t1 = tau*dconjg( v1 )
585  v2 = v( 2 )
586  t2 = tau*dconjg( v2 )
587  v3 = v( 3 )
588  t3 = tau*dconjg( v3 )
589  v4 = v( 4 )
590  t4 = tau*dconjg( v4 )
591  v5 = v( 5 )
592  t5 = tau*dconjg( v5 )
593  v6 = v( 6 )
594  t6 = tau*dconjg( v6 )
595  v7 = v( 7 )
596  t7 = tau*dconjg( v7 )
597  v8 = v( 8 )
598  t8 = tau*dconjg( v8 )
599  DO 360 j = 1, m
600  sum = v1*c( j, 1 ) + v2*c( j, 2 ) + v3*c( j, 3 ) +
601  \$ v4*c( j, 4 ) + v5*c( j, 5 ) + v6*c( j, 6 ) +
602  \$ v7*c( j, 7 ) + v8*c( j, 8 )
603  c( j, 1 ) = c( j, 1 ) - sum*t1
604  c( j, 2 ) = c( j, 2 ) - sum*t2
605  c( j, 3 ) = c( j, 3 ) - sum*t3
606  c( j, 4 ) = c( j, 4 ) - sum*t4
607  c( j, 5 ) = c( j, 5 ) - sum*t5
608  c( j, 6 ) = c( j, 6 ) - sum*t6
609  c( j, 7 ) = c( j, 7 ) - sum*t7
610  c( j, 8 ) = c( j, 8 ) - sum*t8
611  360 CONTINUE
612  GO TO 410
613  370 CONTINUE
614 *
615 * Special code for 9 x 9 Householder
616 *
617  v1 = v( 1 )
618  t1 = tau*dconjg( v1 )
619  v2 = v( 2 )
620  t2 = tau*dconjg( v2 )
621  v3 = v( 3 )
622  t3 = tau*dconjg( v3 )
623  v4 = v( 4 )
624  t4 = tau*dconjg( v4 )
625  v5 = v( 5 )
626  t5 = tau*dconjg( v5 )
627  v6 = v( 6 )
628  t6 = tau*dconjg( v6 )
629  v7 = v( 7 )
630  t7 = tau*dconjg( v7 )
631  v8 = v( 8 )
632  t8 = tau*dconjg( v8 )
633  v9 = v( 9 )
634  t9 = tau*dconjg( v9 )
635  DO 380 j = 1, m
636  sum = v1*c( j, 1 ) + v2*c( j, 2 ) + v3*c( j, 3 ) +
637  \$ v4*c( j, 4 ) + v5*c( j, 5 ) + v6*c( j, 6 ) +
638  \$ v7*c( j, 7 ) + v8*c( j, 8 ) + v9*c( j, 9 )
639  c( j, 1 ) = c( j, 1 ) - sum*t1
640  c( j, 2 ) = c( j, 2 ) - sum*t2
641  c( j, 3 ) = c( j, 3 ) - sum*t3
642  c( j, 4 ) = c( j, 4 ) - sum*t4
643  c( j, 5 ) = c( j, 5 ) - sum*t5
644  c( j, 6 ) = c( j, 6 ) - sum*t6
645  c( j, 7 ) = c( j, 7 ) - sum*t7
646  c( j, 8 ) = c( j, 8 ) - sum*t8
647  c( j, 9 ) = c( j, 9 ) - sum*t9
648  380 CONTINUE
649  GO TO 410
650  390 CONTINUE
651 *
652 * Special code for 10 x 10 Householder
653 *
654  v1 = v( 1 )
655  t1 = tau*dconjg( v1 )
656  v2 = v( 2 )
657  t2 = tau*dconjg( v2 )
658  v3 = v( 3 )
659  t3 = tau*dconjg( v3 )
660  v4 = v( 4 )
661  t4 = tau*dconjg( v4 )
662  v5 = v( 5 )
663  t5 = tau*dconjg( v5 )
664  v6 = v( 6 )
665  t6 = tau*dconjg( v6 )
666  v7 = v( 7 )
667  t7 = tau*dconjg( v7 )
668  v8 = v( 8 )
669  t8 = tau*dconjg( v8 )
670  v9 = v( 9 )
671  t9 = tau*dconjg( v9 )
672  v10 = v( 10 )
673  t10 = tau*dconjg( v10 )
674  DO 400 j = 1, m
675  sum = v1*c( j, 1 ) + v2*c( j, 2 ) + v3*c( j, 3 ) +
676  \$ v4*c( j, 4 ) + v5*c( j, 5 ) + v6*c( j, 6 ) +
677  \$ v7*c( j, 7 ) + v8*c( j, 8 ) + v9*c( j, 9 ) +
678  \$ v10*c( j, 10 )
679  c( j, 1 ) = c( j, 1 ) - sum*t1
680  c( j, 2 ) = c( j, 2 ) - sum*t2
681  c( j, 3 ) = c( j, 3 ) - sum*t3
682  c( j, 4 ) = c( j, 4 ) - sum*t4
683  c( j, 5 ) = c( j, 5 ) - sum*t5
684  c( j, 6 ) = c( j, 6 ) - sum*t6
685  c( j, 7 ) = c( j, 7 ) - sum*t7
686  c( j, 8 ) = c( j, 8 ) - sum*t8
687  c( j, 9 ) = c( j, 9 ) - sum*t9
688  c( j, 10 ) = c( j, 10 ) - sum*t10
689  400 CONTINUE
690  GO TO 410
691  END IF
692  410 CONTINUE
693  RETURN
694 *
695 * End of ZLARFX
696 *
logical function lsame(CA, CB)
LSAME
Definition: lsame.f:53
subroutine zlarf(SIDE, M, N, V, INCV, TAU, C, LDC, WORK)
ZLARF applies an elementary reflector to a general rectangular matrix.
Definition: zlarf.f:128
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