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Implementation of R's norm() function for shaq objects.
# S4 method for shaq,ANY
norm(x, type = c("O", "I", "F", "M", "2"))A shaq
The type of norm: one, infinity, frobenius, max-modulus, and spectral.
A number (length 1 regular vector).
If type == "O" then the communication consists of an allreduce,
quadratic on the number of columns.
If type == "I" then the communication conists of an allgather.
If type == "F" then the communication is an allreduce, quadratic on
the number of columns.
If type == "M" then the communication consists of an allgather.
If type == "2" then the communication consists of the same as that of
an svd() call: an allreduce, quadratic on the number of columns.
If type == "O" then the norm is calculated as the maximum of the
column sums.
If type == "I" then the norm is calculated as the maximum absolute
value of the row sums.
If type == "F" then the norm is calculated as the square root of the
sum of the square of the values of the matrix.
If type == "M" then the norm is calculated as the max of the absolute
value of the values of the matrix.
If type == "2" then the norm is calculated as the largest singular
value.
library(kazaam)
x = ranshaq(runif, 10, 3)
nm = norm(x)
comm.print(nm)
finalize()
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