1SLATZM(1) LAPACK routine (version 3.2) SLATZM(1)
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6 SLATZM - routine i deprecated and has been replaced by routine SORMRZ
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9 SUBROUTINE SLATZM( 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 REAL TAU
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17 REAL C1( LDC, * ), C2( LDC, * ), V( * ), WORK( * )
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20 This routine is deprecated and has been replaced by routine SORMRZ.
21 SLATZM applies a Householder matrix generated by STZRQF to a matrix.
22 Let P = I - tau*u*u', u = ( 1 ),
23 ( v )
24 where v is an (m-1) vector if SIDE = 'L', or a (n-1) vector if SIDE =
25 'R'.
26 If SIDE equals 'L', let
27 C = [ C1 ] 1
28 [ C2 ] m-1
29 n
30 Then C is overwritten by P*C.
31 If SIDE equals 'R', let
32 C = [ C1, C2 ] m
33 1 n-1
34 Then C is overwritten by C*P.
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37 SIDE (input) CHARACTER*1
38 = 'L': form P * C
39 = 'R': form C * P
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41 M (input) INTEGER
42 The number of rows of the matrix C.
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44 N (input) INTEGER
45 The number of columns of the matrix C.
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47 V (input) REAL array, dimension
48 (1 + (M-1)*abs(INCV)) if SIDE = 'L' (1 + (N-1)*abs(INCV)) if
49 SIDE = 'R' The vector v in the representation of P. V is not
50 used if TAU = 0.
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52 INCV (input) INTEGER
53 The increment between elements of v. INCV <> 0
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55 TAU (input) REAL
56 The value tau in the representation of P.
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58 C1 (input/output) REAL array, dimension
59 (LDC,N) if SIDE = 'L' (M,1) if SIDE = 'R' On entry, the n-
60 vector C1 if SIDE = 'L', or the m-vector C1 if SIDE = 'R'. On
61 exit, the first row of P*C if SIDE = 'L', or the first column
62 of C*P if SIDE = 'R'.
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64 C2 (input/output) REAL array, dimension
65 (LDC, N) if SIDE = 'L' (LDC, N-1) if SIDE = 'R' On entry, the
66 (m - 1) x n matrix C2 if SIDE = 'L', or the m x (n - 1) matrix
67 C2 if SIDE = 'R'. On exit, rows 2:m of P*C if SIDE = 'L', or
68 columns 2:m of C*P if SIDE = 'R'.
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70 LDC (input) INTEGER
71 The leading dimension of the arrays C1 and C2. LDC >= (1,M).
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73 WORK (workspace) REAL array, dimension
74 (N) if SIDE = 'L' (M) if SIDE = 'R'
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78 LAPACK routine (version 3.2) November 2008 SLATZM(1)