svd {kazaam} | R Documentation |
svd
Description
Singular value decomposition.
Usage
## S4 method for signature 'shaq'
svd(x, nu = min(n, p), nv = min(n, p), LINPACK = FALSE)
Arguments
x |
A shaq. |
nu |
number of left singular vectors to return. |
nv |
number of right singular vectors to return. |
LINPACK |
Ignored. |
Details
The factorization works by first forming the crossproduct
and then taking its eigenvalue decomposition. In this case, the square root
of the eigenvalues are the singular values. If the left/right singular
vectors
or
are desired, then in either case,
is
computed (the eigenvectors). From these,
can be reconstructed, since
if
, then
.
Value
A list of elements d
, u
, and v
, as with R's own
svd()
. The elements are, respectively, a regular vector, a shaq, and
a regular matrix.
Communication
The operation is completely local except for forming the crossproduct, which
is an allreduce()
call, quadratic on the number of columns.
Examples
## Not run:
library(kazaam)
x = ranshaq(runif, 10, 3)
svd = svd(x)
comm.print(svd$d) # a globally owned vector
svd$u # a shaq
comm.print(svd$v) # a globally owned matrix
finalize()
## End(Not run)
[Package kazaam version 0.1-0 Index]