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：本文利用有效数值方法、区间算术与泰勒模型，提出了一种用于追踪含参数多项式系统零点的可验证预测-校正循环。我们提供了基于Rust语言的实现，该实现相比现有可验证路径追踪软件展现出显著性能提升。