t-Dyadic-method: Transpose of a 'Dyadic' object

In DyadiCarma: Dyadic Matrices and their Algebra using 'Rcpp' and 'RcppArmadillo'

Transpose of a Dyadic object

Description

The Dyadic object transpose of a Dyadic object: t(Dyadic).

Usage

## S4 method for signature 'Dyadic'
t(x)

Arguments

x	Dyadic-object;

Details

The operations are performed in a way that is consistent with the dyadic structure of the matrices.

Value

The Dyadic-object that is the result of the operation with properly defined fields.

References

Kos, M., Podgórski, K., & Wu, H. (2025). Dyadic Factorization and Efficient Inversion of Sparse Positive Definite Matrices. arXiv. https://arxiv.org/abs/2505.08144

See Also

Dyadic-class for the definition of the Dyadic-class; dyadFac for the dyadic decomposition of dyadic matrices;

Examples

#--------------------------------------------#
#-------Transpose of a dyadic object --------#
#--------------------------------------------#

N <- 4
k <- 3

# Construct four types of dyadic matrices with made of 1's
V <- construct(N, k, type = "vert") # vertical
H <- construct(N, k, type = "horiz") # horizontal
S <- construct(N, k, type = "symm", distr = "unif") # symmetric

t(V)@type # The transpose of a vertical dyadic matrix is horizontal
t(H)@type # The transpose of a horizontal dyadic matrix is vertical

all(as.matrix(t(V)) == t(as.matrix(V))) # Should be TRUE
all(as.matrix(S) == as.matrix(t(S))) # Should be TRUE

DyadiCarma documentation built on June 8, 2025, 12:45 p.m.