1DLATZM(1) LAPACK routine (version 3.2) DLATZM(1)
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6 DLATZM - routine i deprecated and has been replaced by routine DORMRZ
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9 SUBROUTINE DLATZM( SIDE, M, N, V, INCV, TAU, C1, C2, LDC, WORK )
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11 CHARACTER SIDE
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13 INTEGER INCV, LDC, M, N
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15 DOUBLE PRECISION TAU
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17 DOUBLE PRECISION C1( LDC, * ), C2( LDC, * ), V( * ), WORK(
18 * )
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21 This routine is deprecated and has been replaced by routine DORMRZ.
22 DLATZM applies a Householder matrix generated by DTZRQF to a matrix.
23 Let P = I - tau*u*u', u = ( 1 ),
24 ( v )
25 where v is an (m-1) vector if SIDE = 'L', or a (n-1) vector if SIDE =
26 'R'.
27 If SIDE equals 'L', let
28 C = [ C1 ] 1
29 [ C2 ] m-1
30 n
31 Then C is overwritten by P*C.
32 If SIDE equals 'R', let
33 C = [ C1, C2 ] m
34 1 n-1
35 Then C is overwritten by C*P.
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38 SIDE (input) CHARACTER*1
39 = 'L': form P * C
40 = 'R': form C * P
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42 M (input) INTEGER
43 The number of rows of the matrix C.
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45 N (input) INTEGER
46 The number of columns of the matrix C.
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48 V (input) DOUBLE PRECISION array, dimension
49 (1 + (M-1)*abs(INCV)) if SIDE = 'L' (1 + (N-1)*abs(INCV)) if
50 SIDE = 'R' The vector v in the representation of P. V is not
51 used if TAU = 0.
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53 INCV (input) INTEGER
54 The increment between elements of v. INCV <> 0
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56 TAU (input) DOUBLE PRECISION
57 The value tau in the representation of P.
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59 C1 (input/output) DOUBLE PRECISION array, dimension
60 (LDC,N) if SIDE = 'L' (M,1) if SIDE = 'R' On entry, the n-
61 vector C1 if SIDE = 'L', or the m-vector C1 if SIDE = 'R'. On
62 exit, the first row of P*C if SIDE = 'L', or the first column
63 of C*P if SIDE = 'R'.
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65 C2 (input/output) DOUBLE PRECISION array, dimension
66 (LDC, N) if SIDE = 'L' (LDC, N-1) if SIDE = 'R' On entry, the
67 (m - 1) x n matrix C2 if SIDE = 'L', or the m x (n - 1) matrix
68 C2 if SIDE = 'R'. On exit, rows 2:m of P*C if SIDE = 'L', or
69 columns 2:m of C*P if SIDE = 'R'.
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71 LDC (input) INTEGER
72 The leading dimension of the arrays C1 and C2. LDC >= (1,M).
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74 WORK (workspace) DOUBLE PRECISION array, dimension
75 (N) if SIDE = 'L' (M) if SIDE = 'R'
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79 LAPACK routine (version 3.2) November 2008 DLATZM(1)