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The Cassini ovals are another method to determine a bound for the
eigenvalues of a matrix.
Let and the Cassini ovals defined as the set of
Column based Cassini ovals may also be defined.
The roots of the characteristic polynomial are enclosed in the union of
the row-based and column-based . Although more complicate to
calculate the bounds obtained with the Cassini ovals are usually
tighter than the bounds obtained with the Gerschgorin circles.