commat | R Documentation |
This function returns the (r c \times r c
)
commutation matrix \mathbf{P}
such that
\mathbf{P} \mbox{vec}(\mathbf{Y}) = \mbox{vec}(\mathbf{Y}'),
where \mathbf{Y}
is a (r \times c
) matrix (Magnus and Neudecker, 2019).
commat(r, c)
r |
Number of rows of |
c |
Number of columns of |
A sparse (r c \times r c
) matrix, \mathbf{P}
.
Magnus, J.R. and Neudecker, H. (2019), Matrix Differential Calculus with Applications in Statistics and Econometrics, third edition, New York, Wiley, pp. 54-55.
Utilities:
FoReco2matrix()
,
aggts()
,
balance_hierarchy()
,
csprojmat()
,
cstools()
,
ctprojmat()
,
cttools()
,
df2aggmat()
,
lcmat()
,
recoinfo()
,
res2matrix()
,
shrink_estim()
,
teprojmat()
,
tetools()
,
unbalance_hierarchy()
Y <- matrix(rnorm(30), 5, 6)
P <- commat(5, 6)
P %*% as.vector(Y) == as.vector(t(Y)) # check
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