Using Taylor-mode automatic differentiation, the authors implement scalable Halley's method for nonlinear systems and report speedups over Newton's method on dense, sparse, and ODE-internal solves.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.NA 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Scalable higher-order nonlinear solvers via higher-order automatic differentiation
Using Taylor-mode automatic differentiation, the authors implement scalable Halley's method for nonlinear systems and report speedups over Newton's method on dense, sparse, and ODE-internal solves.