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2010 Jun 18
1
12th Root of a Square (Transition) Matrix
...he transition matrix
L <- diag(eigen(trans_matrix)$values)
# calculate inverse of matrix of eigenvectors of the transition matrix
X_inv <- solve(X)
# calculate the 12th root of the eigenvalues in the diagonal matrix
L_star <- L ^ (1/12)
# calculate the 12th root of the transition matrix
nth_root <- X_inv %*% L_star %*% X
------ END PASTE ------
References:
[1] Hull, John. Risk Management and Financial Institutions. Prentice Hall, 2007.
2009 Jul 18
7
(-8)^(1/3) == NaN?
Why does the expression "(-8)^(1/3)" return NaN, instead of -2?
This is not answered by http://cran.r-project.org/doc/FAQ/R-FAQ.html#Why-are-powers-of-negative-numbers-wrong_003f
Thanks,
Dave
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