[Octave-bug-tracker] [bug #63911] hilbert crash

[PRIYANSHU SHUKLA]

Follow-up Comment #2, bug #63911 (project octave):

The condition number of a Hilbert matrix of order n grows exponentially with
n, making the matrix increasingly difficult to work with as n increases. This
means that for large values of n, the matrix becomes so numerically unstable
that even small rounding errors can cause the computations to fail.

In the case of Octave, the problem is likely due to memory limitations.
Inverting a Hilbert matrix of order 50000 requires storing a matrix with 2.5
trillion entries, which is beyond the capabilities of most computers.


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