most citedTensor Completion for Causal Inference with Multivariate Longitudinal Data: A Reevaluation of COVID-19 Mandates

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math.NA2026

Hybrid Newton-BFGS high-index saddle dynamics for accelerating saddle-point searches

Jianyuan Yin, Lei Zhang, Shixue Zhang

We propose a hybrid Newton-BFGS high-index saddle dynamics (HiSD) method for accelerating saddle-point searches. The method constructs a Newton correction on the unstable subspace…

math.NA2026

Convergence of high-index saddle dynamics for degenerate saddle points on critical manifolds

Tao Luo, Jianyuan Yin, Lei Zhang +1

The high-index saddle dynamics (HiSD) method provides a powerful framework for finding saddle points and constructing solution landscapes. While originally derived for nondegenerat…