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ISSAC
2009
Springer
150views Mathematics» more  ISSAC 2009»
13 years 11 months ago
On finding multiplicities of characteristic polynomial factors of black-box matrices
We present algorithms and heuristics to compute the characteristic polynomial of a matrix given its minimal polynomial. The matrix is represented as a black-box, i.e., by a functi...
Jean-Guillaume Dumas, Clément Pernet, B. Da...
TIT
2010
98views Education» more  TIT 2010»
12 years 11 months ago
QR decomposition of Laurent polynomial matrices sampled on the unit circle
Abstract--We consider Laurent polynomial (LP) matrices defined on the unit circle of the complex plane. QR decomposition of an LP matrix A(s) yields QR factors Q(s) and R(s) that, ...
Davide Cescato, Helmut Bölcskei
BMCBI
2004
126views more  BMCBI 2004»
13 years 4 months ago
A probabilistic model for the evolution of RNA structure
Background: For the purposes of finding and aligning noncoding RNA gene- and cis-regulatory elements in multiple-genome datasets, it is useful to be able to derive multi-sequence ...
Ian Holmes