1. A polynomial dimension-dependence analysis of Bramble--Pasciak--Xu preconditioners
   2025/12/05 by Jiang, Boou, Park, Jongho, Xu, Jinchao · 1 citation
   Computer Science · Engineering · Physics and Astronomy · #65F08 #65N30 #65N55 #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Matrix Theory and Algorithms #Model Reduction and Neural Networks #Numerical Analysis (math.NA)
2. Error Analysis on a Novel Class of Exponential Integrators with Local Linear Extension Techniques for Highly Oscillatory ODEs
   2025/11/19 by Qi, Zhihao, Deng, Weibing, Zhu, Fuhai · 1 citation
   Mathematics · Computer Science · #Numerical methods for differential equations #Matrix Theory and Algorithms #Advanced Mathematical Modeling in Engineering
3. A CUR Krylov Solver for Large-Scale Linear Matrix Equations
   2025/11/18 by Damiano Lombardi, Akbari, Saeed, Hessam Babaee +2 · 1 citation
   Computer Science · Physics and Astronomy · #FOS: Mathematics #Matrix Theory and Algorithms #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical Methods and Algorithms
4. Bootstrapping Yang-Mills matrix integrals
   2025/10/08 by Wenliang Li, Li, Wenliang, Xiaohui Su +1 · 3 citations
   Computer Science · Mathematics · #Advanced Algebra and Geometry #Algebraic and Geometric Analysis #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Matrix Theory and Algorithms
5. Global Convergence of Oja's Component Flow for General Square Matrices and Its Applications
   2025/10/01 by Daiki Tsuzuki, Tsuzuki, Daiki, Kentaro Ohki +1 · 2 citations
   Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #FOS: Electrical engineering #FOS: Mathematics #Mathematical Dynamics and Fractals #Matrix Theory and Algorithms #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
6. Obtaining the Spectral Function of Moiré Graphene Heavy-Fermions Using Iterative Perturbation Theory
   2025/09/22 by Dumitru Călugăru, Călugăru, Dumitru, Haoyu Hu +15 · 3 citations
   Computer Science · Mathematics · #FOS: Physical sciences #Matrix Theory and Algorithms #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Spectral Theory in Mathematical Physics #Strongly Correlated Electrons (cond-mat.str-el)
7. Auxiliary space theory for the analysis of iterative methods for semidefinite linear systems
   2025/09/08 by Jong-Ho Park, Park, Jongho, Jinchao Xu +1 · 3 citations
   Computer Science · Mathematics · #Matrix Theory and Algorithms #Advanced Optimization Algorithms Research #Iterative Methods for Nonlinear Equations
8. An Inexact Low-Rank Source Iteration for Steady-State Radiative Transfer Equation with Diffusion Synthetic Acceleration
   2025/08/31 by Wei Guo, Guo, Wei, Zhichao Peng +1 · 2 citations
   Computer Science · Mathematics · Physics and Astronomy · #FOS: Mathematics #Matrix Theory and Algorithms #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Tensor decomposition and applications
9. cuPDLPx: A Further Enhanced GPU-Based First-Order Solver for Linear Programming
   2025/07/18 by Haihao Lu, Zedong Peng, Lu, Haihao +3 · 7 citations
   Computer Science · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Matrix Theory and Algorithms #Optimization and Control (math.OC) #Parallel Computing and Optimization Techniques
10. Towards automated generation of fast and accurate algorithms for recursive matrix multiplication
    2025/06/24 by Jean‐Guillaume Dumas, Clément Pernet, Dumas, Jean-Guillaume +3 · 2 citations
    Computer Science · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Parallel Computing and Optimization Techniques #Symbolic Computation (cs.SC) #Tensor decomposition and applications
11. Linearithmic Clean-up for Vector-Symbolic Key-Value Memory with Kroneker Rotation Products
    2025/06/18 by Liu, Ruipeng, Qiu, Qinru, Khan, Simon +1 · 2 citations
    Computer Science · #Artificial Intelligence (cs.AI) #Data Structures and Algorithms (cs.DS) #FOS: Computer and information sciences #Interconnection Networks and Systems #Matrix Theory and Algorithms #Parallel Computing and Optimization Techniques
12. 2N-storage Runge-Kutta methods: c-reflection symmetry and factorization of the Butcher tableau
    2025/06/10 by Alexei Bazavov, Bazavov, Alexei · 2 citations
    Mathematics · Computer Science · Engineering · #Numerical methods for differential equations #Matrix Theory and Algorithms #Electromagnetic Simulation and Numerical Methods
13. Minimizing the Arithmetic and Communication Complexity of Jacobi's Method for Eigenvalues and Singular Values: Part One -- Serial Algorithms
    2025/06/04 by James Demmel, Demmel, James, Hengrui Luo +5 · 1 citation
    Computer Science · #Stochastic Gradient Optimization Techniques #Polynomial and algebraic computation #Matrix Theory and Algorithms
14. The Fastest Known First-Order Method for Minimizing Twice Continuously Differentiable Smooth Strongly Convex Functions
    2025/06/01 by Bryan Van Scoy, Van Scoy, Bryan, Laurent Lessard +1 · 3 citations
    Mathematics · Computer Science · #Advanced Optimization Algorithms Research #Matrix Theory and Algorithms #Iterative Methods for Nonlinear Equations
15. Quon Classical Simulation: Unifying Cliffords, Matchgates and Entanglement
    2025/05/12 by Zixuan Feng, Feng, Zixuan, Zhengwei Liu +4 · 4 citations
    Computer Science · Mathematics · #81P45 #Algebraic and Geometric Analysis #Computational Complexity (cs.CC) #FOS: Computer and information sciences #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Quantum Physics (quant-ph)
16. An Adaptive Mixed Precision and Dynamically Scaled Preconditioned Conjugate Gradient Algorithm
    2025/05/07 by Yichen Guo, Guo, Yichen, Eric de Sturler +3 · 2 citations
    Computer Science · Mathematics · #Matrix Theory and Algorithms #Stochastic Gradient Optimization Techniques #Advanced Optimization Algorithms Research
17. Rank-One Modified Value Iteration
    2025/05/03 by Arman Sharifi Kolarijani, Tolga Ok, Kolarijani, Arman Sharifi +5 · 2 citations
    Computer Science · #Neural Networks and Applications #Matrix Theory and Algorithms
18. Quantum geometric ferromagnetism by singular saddle point
    2025/05/02 by Taisei Kitamura, Hiroki Nakai, Kitamura, Taisei +5 · 4 citations
    Physics and Astronomy · Computer Science · Engineering · #Nonlinear Waves and Solitons #Matrix Theory and Algorithms #Magneto-Optical Properties and Applications
19. Multiple Rota-Baxter algebra and multiple Rota-Baxter modules
    2025/04/23 by Jun He, He, Jun, Xiaosong Peng +3 · 1 citation
    Computer Science · Mathematics · #05E16 #16S10 #16W99 #17B38 #Advanced Topics in Algebra #FOS: Mathematics #Matrix Theory and Algorithms #Rings and Algebras (math.RA) #Rings, Modules, and Algebras
20. Universal Approximation with Softmax Attention
    2025/04/22 by Jerry Yao-Chieh Hu, Hu, Jerry Yao-Chieh, Liu, Hude +6 · 2 citations
    Computer Science · #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Matrix Theory and Algorithms #Neural Networks and Applications #Numerical Methods and Algorithms
21. A Construction of Pairwise Co-prime Integer Matrices of Any Dimension and Their Least Common Right Multiple
    2025/04/10 by Guangpu Guo, Xiang‐Gen Xia, Guo, Guangpu +1 · 2 citations
    Computer Science · Mathematics · #Advanced Topics in Algebra #FOS: Electrical engineering #Matrix Theory and Algorithms #Rings, Modules, and Algebras #Signal Processing (eess.SP) #electronic engineering #information engineering
22. Accelerating a restarted Krylov method for matrix functions with randomization
    2025/03/28 by Nicolas L. Guidotti, Per‐Gunnar Martinsson, Guidotti, Nicolas L. +5 · 2 citations
    Computer Science · Physics and Astronomy · #65F50 #65F60 #65M20 #68W20 #FOS: Mathematics #Matrix Theory and Algorithms #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Stochastic Gradient Optimization Techniques
23. Hardware Acceleration for HPS Algorithms in Two and Three Dimensions
    2025/03/21 by Owen Melia, Melia, Owen, Daniel Fortunato +5 · 1 citation
    Computer Science · Physics and Astronomy · Engineering · #Matrix Theory and Algorithms #Model Reduction and Neural Networks #Advanced Numerical Methods in Computational Mathematics
24. Noncommutative Novikov bialgebras and differential antisymmetric infinitesimal bialgebras with weight
    2025/03/19 by Shanghua Zheng, Yizhen Li, Zheng, Shanghua +4 · 1 citation
    Mathematics · Computer Science · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Matrix Theory and Algorithms
25. Variational preparation of normal matrix product states on quantum computers
    2025/03/12 by Ben Jaderberg, George Pennington, Jaderberg, Ben +15 · 6 citations
    Computer Science · #Quantum Computing Algorithms and Architecture #Matrix Theory and Algorithms
26. A Two-Level Direct Solver for the Hierarchical Poincaré-Steklov Method
    2025/03/06 by Joseph Kump, Anna Yesypenko, Kump, Joseph +3 · 2 citations
    Computer Science · Engineering · Mathematics · #Matrix Theory and Algorithms #Advanced Numerical Methods in Computational Mathematics #Numerical methods for differential equations
27. Simulating Time With Square-Root Space
    2025/02/25 by R. Ryan Williams, Ryan Williams, Williams, R. Ryan · 15 voices · 6 citations
    Computer Science · Mathematics · #Matrix Theory and Algorithms #Computer Graphics and Visualization Techniques #Algebraic and Geometric Analysis
28. Rogers--Ramanujan Type Identities for Rank Two Partial Nahm Sums
    2025/02/26 by Liuquan Wang, Wang, Liuquan, Zeng, Wentao · 1 citation
    Computer Science · Mathematics · #11F03 #11P84 #33D15 #33D60 #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Inequalities and Applications #Matrix Theory and Algorithms #Number Theory (math.NT)
29. A low-rank augmented Lagrangian method for doubly nonnegative relaxations of mixed-binary quadratic programs
    2025/02/19 by Di Hou, Tianyun Tang, Hou, Di +3 · 5 citations
    Computer Science · Mathematics · #90C20 #90C22 #90C30 #Advanced Optimization Algorithms Research #FOS: Mathematics #Matrix Theory and Algorithms #Optimization and Control (math.OC) #Optimization and Variational Analysis
30. Dielectric-Dependent Range-Separated Hybrid Functional Calculations for Metal Oxides
    2025/02/18 by Jiawei Zhan, Marco Govoni, Zhan, Jiawei +3 · 2 citations
    Computer Science · Mathematics · Physics and Astronomy · #Electromagnetic Scattering and Analysis #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Matrix Theory and Algorithms #Numerical methods in inverse problems

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