Mercurial > hg > octave-nkf
comparison scripts/linear-algebra/commutation_matrix.m @ 3499:3e3e14ad5149
[project @ 2000-01-31 05:18:07 by jwe]
author | jwe |
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date | Mon, 31 Jan 2000 05:18:13 +0000 |
parents | 434790acb067 |
children | 38c61cbf086c |
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3498:e391aeef2b3c | 3499:3e3e14ad5149 |
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39 ## @tex | 39 ## @tex |
40 ## $K_{m,n} \cdot {\rm vec} (A) = {\rm vec} (A^T)$ | 40 ## $K_{m,n} \cdot {\rm vec} (A) = {\rm vec} (A^T)$ |
41 ## @end tex | 41 ## @end tex |
42 ## @end iftex | 42 ## @end iftex |
43 ## @ifinfo | 43 ## @ifinfo |
44 ## @var{K}(@var{m},@var{n}) * vec (@var{A}) = vec (@var{A}') | 44 ## @math{K(m,n) * vec(A) = vec(A')} |
45 ## @end ifinfo | 45 ## @end ifinfo |
46 ## for all | 46 ## for all |
47 ## @iftex | 47 ## @iftex |
48 ## @tex | 48 ## @tex |
49 ## $m\times n$ | 49 ## $m\times n$ |
50 ## @end tex | 50 ## @end tex |
51 ## @end iftex | 51 ## @end iftex |
52 ## @ifinfo | 52 ## @ifinfo |
53 ## @var{m} by @var{n} | 53 ## @math{m} by @math{n} |
54 ## @end ifinfo | 54 ## @end ifinfo |
55 ## matrices | 55 ## matrices |
56 ## @iftex | 56 ## @iftex |
57 ## @tex | 57 ## @tex |
58 ## $A$. | 58 ## $A$. |
59 ## @end tex | 59 ## @end tex |
60 ## @end iftex | 60 ## @end iftex |
61 ## @ifinfo | 61 ## @ifinfo |
62 ## @var{A}. | 62 ## @math{A}. |
63 ## @end ifinfo | 63 ## @end ifinfo |
64 ## | 64 ## |
65 ## If only one argument @var{m} is given, | 65 ## If only one argument @var{m} is given, |
66 ## @iftex | 66 ## @iftex |
67 ## @tex | 67 ## @tex |
68 ## $K_{m,m}$ | 68 ## $K_{m,m}$ |
69 ## @end tex | 69 ## @end tex |
70 ## @end iftex | 70 ## @end iftex |
71 ## @ifinfo | 71 ## @ifinfo |
72 ## K(m,m) | 72 ## @math{K(m,m)} |
73 ## @end ifinfo | 73 ## @end ifinfo |
74 ## is returned. | 74 ## is returned. |
75 ## | 75 ## |
76 ## See Magnus and Neudecker (1988), Matrix differential calculus with | 76 ## See Magnus and Neudecker (1988), Matrix differential calculus with |
77 ## applications in statistics and econometrics. | 77 ## applications in statistics and econometrics. |