vol15_pp285-296. 159KB Jun 04 2011 12:05:56 AM
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Keywords: Combinatorial identities, M¨obius function, relatively prime sets, phi functions, M¨obius inversion formula. (Concerned with sequence
The main motivation for the development of the essential decomposition is the construction of canonical forms for real polynomially H -normal matrices, but it is expected to be
The SPV approach, avoiding the solution of the coupled real equations (step 2), surely simplifies the Niven algorithm and gives a more practical method to find the zeros of n
Part ofthis research was completed while the author was visiting the Institute for Mathematical Sciences, National University of Singapore in 2006.. The author is also indebted to
Reference [7] derives bounds on the condition number (through bounds on the singular values) of Vandermonde matrices with nodes on the unit circle, dependant on the minimum and
We prove under weaker assumptions that the limit spectral distribution of sum and product of non- hermitian random matrices is universal.. As a byproduct, we show that the
A closed formula for the mean of a maximum likelihood estimator associated with the Brownian bridge is obtained; the exact relation with that of the Brownian motion is
This result has consequences for the Hausdorff dimension of the frontier of planar Brownian motion, and also for the Hausdorff dimension of the set of cut-points of planar
