Divide-and-conquer eigenvalue algorithm
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Divide-and-conquer eigenvalue algorithm
Divide-and-conquer eigenvalue algorithms are a class of
eigenvalue algorithms
for
Hermitian
or
real
symmetric matrices
that have recently (circa
1990s
) become competitive in terms of
stability
and
efficiency
with more traditional algorithms such as the
QR algorithm
. The basic concept behind these algorithms is of course the famous
divide-and-conquer
approach from
computer science
. An
eigenvalue
problem is divided into two problems of roughly half the size, each of these are solved
recursively
, and the eigenvalues of the original problem are computed from the results of these smaller problems.
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