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Author

Yu-Hong Dai

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Sep 2026

An Inexact Interior-Point Relaxation Method for Linear Optimization with a Spectral Preconditioner

This paper proposes an inexact interior-point relaxation method (iIPRM) for LO problems that does not require its iterates to remain strictly positive and employs a sparse preconditioner tailored to the structure of the normal matrix.

Rui-Jin Zhang, Yu-Hong Dai, Xin-Wei Liu et al. · 0 citations
Preprint Aug 2026

A Multiscale Primal-Dual Interior-Point Relaxation Method for Large-Scale Optimal Transport Problems

This work proposes a multiscale primal-dual interior-point relaxation method (IPRM), which can handle instances whose full formulations contain trillions of transport variables and develops an effective support-identification strategy based on the approximate solutions obtained by IPRM.

Shengyun Sun, Rui-Jin Zhang, Ruoyu Diao et al. · 1 citation
Preprint Aug 2026

A primal--dual interior-point method for nonsymmetric conic optimization with conjugate-free scaling

A primal--dual interior-point method for nonsymmetric conic optimization based on a conjugate-free scaling matrix obtained from a single-secant BFGS update of the primal barrier Hessian, which attains an iteration bound of $\mathcal{O}(\sqrt{\nu}\log(1/\varepsilon)$ and is competitive with QICS, a specialized solver fo...

Rui-Jin Zhang, Wen-Hao Fu, Yu-Hong Dai · 0 citations

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