The Satisfiability Threshold For Random Linear Equations
Sign Up to like & getrecommendations! Published in 2020 at "Combinatorica"
DOI: 10.1007/s00493-019-3897-3
Abstract: Let A be a random m × n matrix over the finite field $$\mathbb{F}_q$$ F q with precisely k non-zero entries per row and let $$y\in\mathbb{F}_q^m$$ y ∈ F q m be a random vector… read more here.
Keywords: random linear; threshold random; satisfiability threshold; geometry ... See more keywords
Sets with no solutions to some symmetric linear equations
Sign Up to like & getrecommendations! Published in 2024 at "Periodica Mathematica Hungarica"
DOI: 10.1007/s10998-025-00643-3
Abstract: We expand the class of linear symmetric equations for which large sets with no non-trivial solutions are known. Our idea is based on first finding a small set with no solutions and then enlarging it… read more here.
Keywords: sets solutions; linear equations; solutions symmetric; symmetric equations ... See more keywords
On linear equations with general polynomial solutions
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.01.002
Abstract: Abstract We provide necessary and sufficient conditions for which an nth-order linear differential equation has a general polynomial solution. We also give necessary conditions that can directly be ascertained from the coefficient functions of the… read more here.
Keywords: polynomial solutions; linear equations; general polynomial; equations general ... See more keywords
Linear equations over multiplicative groups, recurrences, and mixing III
Sign Up to like & getrecommendations! Published in 2017 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2016.137
Abstract: Given an algebraic $\mathbf{Z}^{d}$ -action corresponding to a prime ideal of a Laurent ring of polynomials in several variables, we show how to find the smallest order $n+1$ of non-mixing. It is known that this… read more here.
Keywords: groups recurrences; mixing iii; recurrences mixing; linear equations ... See more keywords
Linear Equations in Singular Moduli
Sign Up to like & getrecommendations! Published in 2018 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rny216
Abstract: We establish an effective version of the André–Oort conjecture for linear subspaces of $Y(1)^n_{\mathbb{C}} \approx \mathbb{A}_{\mathbb{C}}^n$. This gives the first effective nontrivial results of André–Oort type for higher-dimensional varieties in products of modular curves. read more here.
Keywords: equations singular; singular moduli; linear equations;
Distributed Solvers for Network Linear Equations With Scalarized Compression
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2024.3488492
Abstract: Distributed computing is fundamental to multiagent systems, with solving distributed linear equations as a typical example. In this article, we study distributed solvers for network linear equations over a network with node-to-node communication messages compressed… read more here.
Keywords: linear equations; solvers network; compression; distributed solvers ... See more keywords
Distributed Predefined-Time Algorithm for System of Linear Equations Over Directed Networks
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Transactions on Circuits and Systems II: Express Briefs"
DOI: 10.1109/tcsii.2023.3333325
Abstract: In this brief, we propose a predefined-time algorithm based on multi-agent networks for solving linear equations of the form $Ax = b$ , where the predefined-time can be predesigned by the user and each agent… read more here.
Keywords: linear equations; time algorithm; time; inline formula ... See more keywords
A Strictly Predefined-Time Convergent and Noise-Tolerant Neural Model for Solving Linear Equations With Robotic Applications
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Transactions on Industrial Electronics"
DOI: 10.1109/tie.2023.3241393
Abstract: Nowadays, there are time-critical applications involving linear equations, such as the fault reconstruction problem, where hard response time constraints and robustness to external disturbances are expected. A zeroing neural network (ZNN) is one of the… read more here.
Keywords: strictly predefined; linear equations; time; predefined time ... See more keywords
Finite-Time Reciprocal Zeroing Neural Network Model for Handling Temporal-Variant Linear Equations and Mobile Localization Problems
Sign Up to like & getrecommendations! Published in 2025 at "IEEE Transactions on Systems, Man, and Cybernetics: Systems"
DOI: 10.1109/tsmc.2024.3488370
Abstract: Temporal-variant linear equations (TVLEs) are widely acknowledged for their pivotal role in various engineering fields, offering a potent means to model dynamic processes and evolving relationships over time. A conventional approach involves leveraging the zeroing… read more here.
Keywords: linear equations; time; frznn model; model ... See more keywords
Decision Scheduling for Cloud Computing Tasks Relying on Solving Large Linear Systems of Equations
Sign Up to like & getrecommendations! Published in 2022 at "Computational Intelligence and Neuroscience"
DOI: 10.1155/2022/3411959
Abstract: With the continuous reform and innovation of Internet technology and the continuous development and progress of social economy, Big Data cloud computing technology is more and more widely used in people's work and life. Many… read more here.
Keywords: task scheduling; decision scheduling; large linear; solving large ... See more keywords
Newton-raphson method to solve systems of non-linear equations in VANET performance optimization
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of Electrical Engineering and Informatics"
DOI: 10.11591/eei.v8i2.1420
Abstract: Nowadays, Vehicular Ad-Hoc Network (VANET) has got more attention from the researchers. The researchers have studied numerous topics of VANET, such as the routing protocols of VANET and the MAC protocols of VANET. The aim… read more here.
Keywords: non linear; newton raphson; raphson method; linear equations ... See more keywords