Modified Preconditioned GAOR Methods for Systems of Linear Equations by Xue-Feng Zhang, Qun-Fa Cui, Shi-Liang Wu

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A Proposed Method for Solving Fuzzy System of Linear Equations by Reza Kargar, Tofigh Allahviranloo, Mohsen Rostami-Malkhalifeh, Gholam Reza Jahanshaloo

“…This paper proposes a new method for solving fuzzy system of linear equations with crisp coefficients matrix and fuzzy or interval right hand side. …”
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Concerning row operations on systems of linear equations with integral coefficients by L. B. Treybig

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Designing Learning Materials for Systems of Linear Equations in Two Variables in the Context of Jakabaring Tourism in Palembang by Marta Risa Putri Utami, Zulkardi Zulkardi, Ely Susanti, Meryansumayeka Meryansumayeka

“… The System of Linear Equations in Two Variables (SLETV) is one of the essential topics in mathematics that often presents challenges for students to understand. …”
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Solving a System of Linear Equations Based on Z-Numbers to Determinate the Market Balance Value by Zeinab Motamedi Pour, Tofigh Allahviranloo, Mozhdeh Afshar Kermani, Saeid Abbasbandy

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A Comparison of Gaussian Elimination and Cholesky Decomposition Methods in Solving a System of Linear Equations. by Niringiye, Richard

“…There are several methods of solving a system of linear equations,. some of which are direct methods and others are iterative methods. …”
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Monte Carlo Algorithm For Matrices in Solving Systems of Linear Equations, Determinants, Inverse, Eigen Values, and Eigenvectors. by Bamwine, Delik

“…The This study sought to establish the general applicability of Monte Carlo algorithm for matrices in solving systems of linear equations, determinants, inverse, Eigen values, and Eigen vectors. …”
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An experimental comparison of two preconditioned iterative methods to solve the elliptic partial differential equations by Seyyed Ahmad Edalatpanah

Subjects: “…system of linear equations…”
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Increasing ADC dynamic range in information-measuring systems by methods of digital signal processing by B. V. Chuvykin, M. M. Nikiforov

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Comparison of Gaussian Elimination and Cholesky Decomposition Solving A Linear System Of Equation. by Nzabonimpa, Godfrey

“…There are several methods of solving a system of linear equations. Some of which are direct methods and others are iterative methods. …”
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Perturbed Galerkin Method for Solving Integro-Differential Equations by K. Issa, J. Biazar, T. O. Agboola, T. Aliu

“…In this paper, perturbed Galerkin method is proposed to find numerical solution of an integro-differential equations using fourth kind shifted Chebyshev polynomials as basis functions which transform the integro-differential equation into a system of linear equations. The systems of linear equations are then solved to obtain the approximate solution. …”
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Iterative methods for solving fractional differential equations using non-polynomial splines by Faraidun K. Hamasalh, Gulnar W. Sadiq, Emad S. Salam

“…This approach transforms the fractional differential equation into a system of linear equations. The Gauss-Seidel and conjugate gradient methods are used to iteratively solve the linear system. …”
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Hybrid Bernstein Block-Pulse Functions Method for Second Kind Integral Equations with Convergence Analysis by Mohsen Alipour, Dumitru Baleanu, Fereshteh Babaei

“…This method is very simple such that an integral equation is reduced to a system of linear equations. On the other hand, convergence analysis for this method is discussed. …”
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Method of Infinite System of Equations for Problems in Unbounded Domains by Dang Quang A, Tran Dinh Hung

“…The problems are reduced to infinite system of linear equations. A method for obtaining approximate solution with a given accuracy is proposed. …”
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Efficient Neural Network Modeling for Flight and Space Dynamics Simulation by Ayman Hamdy Kassem

“…For linear flight/space dynamics systems, the technique can find the network weights and biases directly by solving a system of linear equations without the need for training. Nonlinear flight dynamic systems can be easily modeled by training its linearized models keeping the same network structure. …”
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Generalized Refinement of Gauss-Seidel Method for Consistently Ordered 2-Cyclic Matrices by Gashaye Dessalew, Tesfaye Kebede, Gurju Awgichew, Assaye Walelign

“…This paper presents generalized refinement of Gauss-Seidel method of solving system of linear equations by considering consistently ordered 2-cyclic matrices. …”
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Nonrecursive Equivalent of the Conjugate Gradient Method without the Need to Restart by Josip Dvornik, Damir Lazarevic, Antonia Jaguljnjak Lazarevic, Marija Demsic

“…A simple alternative to the conjugate gradient (CG) method is presented; this method is developed as a special case of the more general iterated Ritz method (IRM) for solving a system of linear equations. This novel algorithm is not based on conjugacy; i.e., it is not necessary to maintain overall orthogonalities between various vectors from distant steps. …”
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Numerical Study of the Inverse Problem of Generalized Burgers–Fisher and Generalized Burgers–Huxley Equations by Javad Alavi, Hossein Aminikhah

“…The Tikhonov regularization method is used to solve the system of linear equations using noisy data. Several numerical examples are provided to illustrate the accuracy and efficiency of the method.…”
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Estimation of stationary and non-stationary moving average processes in the correlation domain. by Martin Dodek, Eva Miklovičová

“…In the non-stationary case, the estimation complexity is notably reduced, resulting in a triangular system of linear equations solvable by backward substitution. …”
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Students' misconceptions in algebraic concepts: A four-tier diagnostic test approach by Hestu Wilujeng, Aristiawan, Joel I. Alvarez

“…This qualitative study used a case study approach focused on analyzing students' misconceptions in understanding algebra, specifically in the topic system of linear equations in two variables (SLETV). This study utilized a four-tier diagnostic test combined with the Certainty of Response Index (CRI) to identify students' misconceptions. …”
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