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NewtonBisection: correct the Newton step at multiple roots - #1375

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ChrisRackauckas wants to merge 11 commits into

newton-bisection-multiplicity

Draft

NewtonBisection: correct the Newton step at multiple roots#1375
ChrisRackauckas wants to merge 11 commits into
masterfrom
newton-bisection-multiplicity

Commits on Oct 1, 2026
- Add NewtonBisection, a bracketing Newton method that uses the derivative
  
  albertomercurio
  and
  claude
  committed
  a4425e2
- Require SciMLBase 3.57 for the derivative of IntervalNonlinearFunction
  
  albertomercurio
  and
  claude
  committed
  533d506
- Keep the end-game distance of NewtonBisection a float
  
  albertomercurio
  and
  claude
  committed
  37848de
- Evaluate the derivative right after f, and not once the bracket is closed
  
  albertomercurio
  and
  claude
  committed
  21fa79c
- Say when NewtonBisection is faster than the derivative-free methods
  
  albertomercurio
  and
  claude
  committed
  d6cca36
- Check that NewtonBisection evaluates f only inside the bracket
  
  albertomercurio
  and
  claude
  committed
  73f9b74
Commits on Oct 16, 2026
- NewtonBisection: correct the Newton step at multiple roots
  
  claude
  and
  ChrisRackauckas
  committed
  c664bfd
Commits on Oct 17, 2026
- Merge remote-tracking branch 'origin/master' into newton-bisection-multiplicity
  
  Devin
  and
  ChrisRackauckas
  committed
  fc902b0
Commits on Oct 21, 2026
- Preserve NewtonBisection brackets at extreme scales and undefined residuals
  
  ChrisRackauckas
  and
  codex
  committed
  fc840b2
- Keep derivative-free Dual interval solves allocation-free
  
  ChrisRackauckas
  and
  codex
  committed
  743afc3
- Normalize NewtonBisection integer brackets before initialization
  
  ChrisRackauckas
  and
  codex
  committed
  9e93e47