Using validated numerical methods, interval arithmetic and Taylor models, we propose a certified predictor-corrector loop for tracking zeros of polynomial systems with a parameter. We provide a Rust implementation which shows tremendous improvement over existing software for certified path tracking.

翻译：利用可靠数值方法、区间算术和泰勒模型，我们提出了一种认证的预测-校正循环，用于跟踪含参数多项式系统的零点。我们提供了Rust语言的实现，该实现相较于现有认证路径跟踪软件展现出显著性能提升。