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[WIP] Add Householder's method #163

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@tansongchen tansongchen commented Oct 2, 2024

Checklist

  • Appropriate tests were added
  • Any code changes were done in a way that does not break public API
  • All documentation related to code changes were updated
  • The new code follows the
    contributor guidelines, in particular the SciML Style Guide and
    COLPRAC.
  • Any new documentation only uses public API

Additional context

Add the Householder's method with arbitrary order. It is added as an extension that depends on TaylorDiff.jl.

Comment on lines 6 to 9

Internally, this uses TaylorDiff.jl for the automatic differentiation.

### Type Parameters
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Note that import TaylorDiff is required to use the method.

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Julia v1.11 breaks a lot of things, but it seems that no failing is related to this change

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