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feat: allow simplifying DAEs to index zero, better DAE initialization #3240

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  • 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

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@AayushSabharwal AayushSabharwal self-assigned this Nov 27, 2024

Perform the Pantelides algorithm to transform a higher index DAE to an index 1
DAE. `kwargs` are forwarded to [`pantelides!`](@ref). End users are encouraged to call [`structural_simplify`](@ref)
instead, which calls this function internally.
instead, which calls this function internally. If `to_index_zero` is true, the DAE will be reduced to an index 1 DAE.
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instead, which calls this function internally. If `to_index_zero` is true, the DAE will be reduced to an index 1 DAE.
instead, which calls this function internally. If `to_index_zero` is true, the DAE will be reduced to an index 0 DAE.

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