1CLATZM(1) LAPACK routine (version 3.1) CLATZM(1)
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6 CLATZM - i deprecated and has been replaced by routine CUNMRZ
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9 SUBROUTINE CLATZM( 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 COMPLEX TAU
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17 COMPLEX C1( LDC, * ), C2( LDC, * ), V( * ), WORK( * )
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20 This routine is deprecated and has been replaced by routine CUNMRZ.
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22 CLATZM applies a Householder matrix generated by CTZRQF to a matrix.
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24 Let P = I - tau*u*u', u = ( 1 ),
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26 where v is an (m-1) vector if SIDE = 'L', or a (n-1) vector if SIDE =
27 'R'.
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29 If SIDE equals 'L', let
30 C = [ C1 ] 1
31 [ C2 ] m-1
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33 Then C is overwritten by P*C.
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35 If SIDE equals 'R', let
36 C = [ C1, C2 ] m
37 1 n-1
38 Then C is overwritten by C*P.
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42 SIDE (input) CHARACTER*1
43 = 'L': form P * C
44 = 'R': form C * P
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46 M (input) INTEGER
47 The number of rows of the matrix C.
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49 N (input) INTEGER
50 The number of columns of the matrix C.
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52 V (input) COMPLEX array, dimension
53 (1 + (M-1)*abs(INCV)) if SIDE = 'L' (1 + (N-1)*abs(INCV)) if
54 SIDE = 'R' The vector v in the representation of P. V is not
55 used if TAU = 0.
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57 INCV (input) INTEGER
58 The increment between elements of v. INCV <> 0
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60 TAU (input) COMPLEX
61 The value tau in the representation of P.
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63 C1 (input/output) COMPLEX array, dimension
64 (LDC,N) if SIDE = 'L' (M,1) if SIDE = 'R' On entry, the n-
65 vector C1 if SIDE = 'L', or the m-vector C1 if SIDE = 'R'.
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67 On exit, the first row of P*C if SIDE = 'L', or the first col‐
68 umn of C*P if SIDE = 'R'.
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70 C2 (input/output) COMPLEX array, dimension
71 (LDC, N) if SIDE = 'L' (LDC, N-1) if SIDE = 'R' On entry, the
72 (m - 1) x n matrix C2 if SIDE = 'L', or the m x (n - 1) matrix
73 C2 if SIDE = 'R'.
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75 On exit, rows 2:m of P*C if SIDE = 'L', or columns 2:m of C*P
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78 LDC (input) INTEGER
79 The leading dimension of the arrays C1 and C2. LDC >=
80 max(1,M).
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82 WORK (workspace) COMPLEX array, dimension
83 (N) if SIDE = 'L' (M) if SIDE = 'R'
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87 LAPACK routine (version 3.1) November 2006 CLATZM(1)