Abstract: The advent of the global navigation satellite system has greatly enhanced satellite positioning technology, with precise point positioning (PPP) emerging as a prominent technique. Despite ...

Abstract: In this study, we propose a novel penalty reformulation and numerical solution method for optimal control problems (OCPs) of linear complementarity systems. The proposed reformulation aims ...

$$ \begin{array}{ll} \underset{x \in \mathbb{R}^n}{\min} \quad & \langle c, x \rangle \\ \text{s.t.} \quad & L \leq A x \leq U, \\ & l \leq x \leq u . \end{array ...

MPAX is a hardware-accelerated, differentiable, batchable, and distributable solver for mathematical programming in JAX, designed to integrate with modern computational and deep learning workflows: ...