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## ----setup---------------------------------------------------------------
library(SolveRationalMatrixEquation)
Q <- rbind(c(2,-1,0),c(-1,2,1),c(0,1,2))
L <- rbind(c(2,-2,18),c(2,1,0),c(1,2,0))
##QR Decomposition
QRdecompose(L)
##LQ Decompostion
LQdecompose(L)
##Solve Rational Matrix
X <- sol.rationalmatrix.euqation(Q, L)
#Checking the results
X - (Q + L %*% solve(X) %*% t(L))
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