Rootfinders for Rust

Rootfinding (solving systems of nonlinear algebraic equations) is a key ingredient in scientific computing. Argmin, a native Rust crate, has a trait-based interface that enforces at compile-time that all the necessary information is available, but the user must choose the solution algorithm statically. We depict the usability tradeoff between this and a dynamic alternative and share improvements to the linear algebra in its implementation of Newton's method, including use of faer. PETSc is a widely-used C library with rootfinders and sophisticated linear algebra support, and has been recently released in a Rust crate. We discuss interoperability, interfaces, capability, and performance between these rootfinders.