#numerical stability
6 resultsA MATLAB Tool for the Stable Generation of Matrix Polynomial Evaluation Schemes with Two-Product Savings
J. Ibáñez, J. Sastre, J. M. Alonso +1
The paper introduces a MATLAB tool that automatically generates stable evaluation schemes for high-degree matrix polynomials, achieving a reduction of two matrix multiplications co…
Impact of numerical stability in Bayesian noise wave calibration on global 21-cm experiments
Saswata Dasgupta, Adarsh Kumar Dash, Dominic Anstey +3
The paper identifies and mitigates a numerical instability in the Bayesian noise‑wave calibration used for global 21‑cm experiments, improving reproducibility and accuracy of recei…
Scalable Dynamic Optimal Transport via Distributed Linearized ADMM
Hari Dahal, Rongjie Lai, Yangyang Xu
The paper proposes a reformulation of the dynamic optimal transport problem that admits an exact proximal mapping and combines it with a linearized ADMM algorithm to remain stable…
Implicit differentiation of tensor network algorithms
Lander Burgelman, Anna Francuz, Paul Brehmer +4
The paper applies implicit differentiation to the gradient computation in projected entangled-pair state (PEPS) optimization, reducing computational cost and eliminating numerical…
An improved estimate of the intermediate internal energy in the energy-consistent HLLD scheme
Fan Zhang
The paper introduces a simple correction to the intermediate internal energy estimate in the HLLD approximate Riemann solver for magnetohydrodynamics, improving robustness and pres…
A new randomized CholeskyQR based on LU decomposition with partial pivoting
Yuwei Fan, Haoran Guan, Zhonghua Qiao
The paper introduces RCLUPP, a randomized QR factorization method that uses LU decomposition with partial pivoting and matrix sketching to improve efficiency and robustness over ex…