..  eigfact(A,[irange,][vl,][vu,][permute=true,][scale=true]) -> Eigen

Computes the eigenvalue decomposition of ``A``, returning an ``Eigen``
factorization object ``F`` which contains the eigenvalues in ``F[:values]``
and the eigenvectors in the columns of the matrix ``F[:vectors]``.
(The ``k``\ th eigenvector can be obtained from the slice ``F[:vectors][:, k]``.)

The following functions are available for ``Eigen`` objects: ``inv``,

If ``A`` is :class:`Symmetric`, :class:`Hermitian` or :class:`SymTridiagonal`,
it is possible to calculate only a subset of the eigenvalues by specifying
either a :class:`UnitRange` ``irange`` covering indices of the sorted
eigenvalues or a pair ``vl`` and ``vu`` for the lower and upper boundaries
of the eigenvalues.

For general nonsymmetric matrices it is possible to specify how the matrix
is balanced before the eigenvector calculation. The option ``permute=true``
permutes the matrix to become closer to upper triangular, and ``scale=true``
scales the matrix by its diagonal elements to make rows and columns more
equal in norm. The default is ``true`` for both options.


See Also

abs2, beta, binomial, ceil, cell, cross, ctranspose, ctranspose!, cummin, cumprod, cumprod!, cumsum, cumsum!, cumsum_kbn, div, divrem, eigfact, eigfact!, eigmin, eps, erf, erfc, erfcinv, erfcx, erfi, erfinv, exp, exp10, exp2, expm1, exponent, factor, factorial, factorize, floor, gcd, invmod, log, log10, log1p, log2, logspace, max, min, mod, mod1, modf, next, nextpow, nextprod, num, primes, primesmask, prod, realmin, sqrt, sum!, sumabs, sumabs!, sumabs2, sumabs2!,

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