Log in

Relevant bibliographies by topics / Gauss-Seidel method / Journal articles

To see the other types of publications on this topic, follow the link: Gauss-Seidel method.

Journal articles on the topic 'Gauss-Seidel method'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Gauss-Seidel method.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

S., Sathya, and Ramesh T. "Comparison of Gauss Jacobi Method and Gauss Seidel Method using Scilab." International Journal of Trend in Scientific Research and Development 3, no. 6 (2019): 1051–53. https://doi.org/10.5281/zenodo.3589302.

Full text

Abstract:

Numerical Method is the important aspects in solving real world problems that are related to Mathematics, science, medicine, business etc. In this paper, We comparing the two methods by using the scilab 6.0.2 software coding to solve the iteration problem. which are Gauss Jacobi and Gauss Seidel methods of linear equations. S. Sathya | T. Ramesh "Comparison of Gauss Jacobi Method and Gauss Seidel Method using Scilab" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-6 , October 2019, URL: https://www.ijtsrd.

APA, Harvard, Vancouver, ISO, and other styles

2

Tuljaram Meghwar, Sher khan Awan, Muhammad Tariq, Muhammad Suleman, and Asif Ali Shaikh. "Substitutional Based Gauss-Seidel Method For Solving System of Linear Algebraic Equations." Babylonian Journal of Mathematics 2024 (January 10, 2024): 1–12. http://dx.doi.org/10.58496/bjm/2024/001.

Full text

Abstract:

In this research paper a new modification of Gauss-Seidel method has been presented for solving the system of linear algebraic equations. The systems of linear algebraic equations have an important role in the field of science and engineering. This modification has been developed by using the procedure of Gauss-Seidel method and the concept of substitution techniques. Developed modification of Gauss-Seidel method is a fast convergent as compared to Gauss Jacobi’s method, Gauss-Seidel method and successive over-relaxation (SOR) method. It works on the diagonally dominant as well as positive def

APA, Harvard, Vancouver, ISO, and other styles

3

Enyew, Tesfaye Kebede, Gurju Awgichew, Eshetu Haile, and Gashaye Dessalew Abie. "Second-refinement of Gauss-Seidel iterative method for solving linear system of equations." Ethiopian Journal of Science and Technology 13, no. 1 (2020): 1–15. http://dx.doi.org/10.4314/ejst.v13i1.1.

Full text

Abstract:

Although large and sparse linear systems can be solved using iterative methods, its number of iterations is relatively large. In this case, we need to modify the existing methods in order to get approximate solutions in a small number of iterations. In this paper, the modified method called second-refinement of Gauss-Seidel method for solving linear system of equations is proposed. The main aim of this study was to minimize the number of iterations, spectral radius and to increase rate of convergence. The method can also be used to solve differential equations where the problem is transformed

APA, Harvard, Vancouver, ISO, and other styles

4

Vinsensia, Desi, Yulia Utami, Fathia Siregar, and Muhammad Arifin. "Improve refinement approach iterative method for solution linear equition of sparse matrices." Jurnal Teknik Informatika C.I.T Medicom 15, no. 6 (2024): 306–13. http://dx.doi.org/10.35335/cit.vol15.2024.721.pp306-313.

Full text

Abstract:

In this paper, systems of linear equations on sparse matrices investigated through modified improve method using Gauss-Seidel and successive overrelaxation (SOR) approach. Taking into adapted convergence rate on the Improve refinement Gauss-seidel outperformed the prior two Gauss-Seidel methods in terms of rate of convergence and number of iterations required to solve the problem by applying a modified version of the Gauss-Seidel approach. to observe the effectiveness of this method, the numerical example is given. The main findings in this study, that Gauss seidel improvement refinement gives

APA, Harvard, Vancouver, ISO, and other styles

5

Duan, Ban Xiang, Wen Ying Zeng, and Xiao Ping Zhu. "A Preconditioned Gauss-Seidel Iterative Method for Linear Complementarity Problem in Intelligent Materials System." Advanced Materials Research 340 (September 2011): 3–8. http://dx.doi.org/10.4028/www.scientific.net/amr.340.3.

Full text

Abstract:

In this paper, the authors first set up new preconditioned Gauss-Seidel iterative method for solving the linear complementarity problem, whose preconditioned matrix is introduced. Then certain elementary operations row are performed on system matrix before applying the Gauss-Seidel iterative method. Moreover the sufficient conditions for guaranteeing the convergence of the new preconditioned Gauss-Seidel iterative method are presented. Lastly we report some computational results with the proposed method.

APA, Harvard, Vancouver, ISO, and other styles

6

SEBRO, AMRACH, HAILU MULETA, and SOLOMON GEBREGIORGIS. "Extrapolated refinement of generalized gauss- seidel scheme for solving system of linear equations." Berhan International Research Journal of Science and Humanities 4 (March 22, 2020): 12–23. http://dx.doi.org/10.61593/dbu.birjsh.01.01.55.

Full text

Abstract:

In this paper, Extrapolated Refinement of Generalized Gauss-Seidel scheme for solving system of linear equations has been presented. In order to accelerate the rate of convergence of the scheme, the one-parameter family of splitting procedure has been introduced and the convergence of the method is well established. To validate the proposed method, three numerical examples were considered. Comparisons were made among Refinement of Generalized Jacobi, Generalized Gauss-Seidel, Refinement of Generalized Gauss-Seidel and Extrapolated Refinement of Generalized Gauss-Seidel schemes with respect to

APA, Harvard, Vancouver, ISO, and other styles

7

Wang, Yang, Jie Liu, Xiaoxiong Zhu, Qingyang Zhang, Shengguo Li, and Qinglin Wang. "Improving Structured Grid-Based Sparse Matrix-Vector Multiplication and Gauss–Seidel Iteration on GPDSP." Applied Sciences 13, no. 15 (2023): 8952. http://dx.doi.org/10.3390/app13158952.

Full text

Abstract:

Structured grid-based sparse matrix-vector multiplication and Gauss–Seidel iterations are very important kernel functions in scientific and engineering computations, both of which are memory intensive and bandwidth-limited. GPDSP is a general purpose digital signal processor, which is a very significant embedded processor that has been introduced into high-performance computing. In this paper, we designed various optimization methods, which included a blocking method to improve data locality and increase memory access efficiency, a multicolor reordering method to develop Gauss–Seidel fine-grai

APA, Harvard, Vancouver, ISO, and other styles

8

Sukarna, S., Muhammad Abdy, and R. Rahmat. "Perbandingan Metode Iterasi Jacobi dan Metode Iterasi Gauss-Seidel dalam Menyelesaikan Sistem Persamaan Linear Fuzzy." Journal of Mathematics, Computations, and Statistics 2, no. 1 (2020): 1. http://dx.doi.org/10.35580/jmathcos.v2i1.12447.

Full text

Abstract:

Penelitian ini mengkaji tentang menyelesaian Sistem Persamaan Linear Fuzzy dengan Membanding kan Metode Iterasi Jacobi dan Metode Iterasi Gauss-Seidel. Metode iterasi Jacobi merupakan salah satu metode tak langsung, yang bermula dari suatu hampiran Metode iterasi Jacobi ini digunakan untuk menyelesaikan persamaan linier yang proporsi koefisien nol nya besar. Iterasi dapat diartikan sebagai suatu proses atau metode yang digunakan secara berulang-ulang (pengulangan) dalam menyelesaikan suatu permasalahan matematika ditulis dalam bentuk . Pada metode iterasi Gauss-Seidel, nilai-nilai yang paling

APA, Harvard, Vancouver, ISO, and other styles

9

Daniel, E. E., D. O. Oyewole, S. A. Akinwunmi, and D. B. Awudang. "COMPARATIVE ANALYSIS OF GAUSS SEIDEL, CONJUGATE GRADIENT AND SUCCESSIVEOVER RELAXATION FOR THE SOLUTION OF NONSYMETRIC LINEAR EQUATIONS." FULafia Journal of Science and Technology 9, no. 1 (2025): 1–6. https://doi.org/10.62050/fjst2025.v9n1.349.

Full text

Abstract:

This study undertakes a comparative analysis of three widely used computational methods namely; Gauss-Seidel, Conjugate Gradient, and Successive Over-Relaxation (SOR) for solving nonsymmetric linear equations. The main goal is to assess the effectiveness, efficiency and convergence rates of these methods when applied to nonsymmetric linear systems, which frequently occurs in scientific and engineering problems. The Gauss-Seidel method, knownfor its iterative simplicity and straightforward implementation, is compared with the Conjugate Gradient method, which is acclaimed for its robustness and

APA, Harvard, Vancouver, ISO, and other styles

10

Zhou, Bo Jian, Xu Hong Li, and Jie He. "A Comparative Study of Two Alternative Methods for the Path-Based Logit Stochastic User Equilibrium Problem." Advanced Materials Research 756-759 (September 2013): 1433–36. http://dx.doi.org/10.4028/www.scientific.net/amr.756-759.1433.

Full text

Abstract:

in this paper, a computational study of two alternative methods for the path-based logit stochastic user equilibrium model is conducted. The two methods under investigation are the Jacobi gradient projection method and the Gauss-Seidel gradient projection method. We compare the two methods on the Sioux Falls network. Numerical results indicate that for the path-based logit SUE problem, Jacobi gradient projection method is more efficient than Gauss-Seidel gradient projection method.

APA, Harvard, Vancouver, ISO, and other styles

11

Akram, Muhammad, Ghulam Muhammad, Ali N. A. Koam, and Nawab Hussain. "Iterative Methods for Solving a System of Linear Equations in a Bipolar Fuzzy Environment." Mathematics 7, no. 8 (2019): 728. http://dx.doi.org/10.3390/math7080728.

Full text

Abstract:

We develop the solution procedures to solve the bipolar fuzzy linear system of equations (BFLSEs) with some iterative methods namely Richardson method, extrapolated Richardson (ER) method, Jacobi method, Jacobi over-relaxation (JOR) method, Gauss–Seidel (GS) method, extrapolated Gauss-Seidel (EGS) method and successive over-relaxation (SOR) method. Moreover, we discuss the properties of convergence of these iterative methods. By showing the validity of these methods, an example having exact solution is described. The numerical computation shows that the SOR method with ω = 1 . 25 is more accur

APA, Harvard, Vancouver, ISO, and other styles

12

Greenberg, Albert G., and Robert J. Vanderbei. "Quicker Convergence for Iterative Numerical Solutions to Stochastic Problems: Probabilistic Interpretations, Ordering Heuristics, and Parallel Processing." Probability in the Engineering and Informational Sciences 4, no. 4 (1990): 493–521. http://dx.doi.org/10.1017/s0269964800001790.

Full text

Abstract:

Gauss-Seidel is a general method for solving a system of equations (possibly nonlinear). It makes repeated sweeps through the variables; within a sweep as each new estimate for a variable is computed, the current estimate for that variable is replaced with the new estimate immediately, instead of on completion of the sweep. The idea is to use new data as soon as it is computed. Gauss- Seidel is often efficient for computing the invariant measure of a Markov chain (especially if the transition matrix is sparse), and for computing the value function in optimal control problems. In many applicati

APA, Harvard, Vancouver, ISO, and other styles

13

Mohamed Amine, Benhari, and Kaicer Mohammed. "Analysis of uncertainty in the Leontief model by interval arithmetic." Statistics, Optimization & Information Computing 13, no. 5 (2025): 2011–26. https://doi.org/10.19139/soic-2310-5070-2279.

Full text

Abstract:

This paper presents an innovative strategy to enhance the precision of economic projections through the integration of interval arithmetic into the Leontief model. We emphasise the utilisation of the Gauss-Seidel method for solving linear systems with interval coefficients. In this paper, we present a method that use the Gauss-Seidel approach to effectively solve linear systems consisting of interval coefficients. This technique enhances traditional methods by incorporating potential value intervals, in addition to exact numerical values. The result is a more precise reflection of uncertainty

APA, Harvard, Vancouver, ISO, and other styles

14

Ahmadi, Afshin, Felice Manganiello, Amin Khademi, and Melissa C. Smith. "A Parallel Jacobi-Embedded Gauss-Seidel Method." IEEE Transactions on Parallel and Distributed Systems 32, no. 6 (2021): 1452–64. http://dx.doi.org/10.1109/tpds.2021.3052091.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Usui, Masataka, Hiroshi Niki, and Toshiyuki Kohno. "Adaptive gauss-seidel method for linear systems." International Journal of Computer Mathematics 51, no. 1-2 (1994): 119–25. http://dx.doi.org/10.1080/00207169408804271.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

Zou, Youyi Jiang Limin. "Convergence of The Gauss-Seidel Iterative Method." Procedia Engineering 15 (2011): 1647–50. http://dx.doi.org/10.1016/j.proeng.2011.08.307.

Full text

APA, Harvard, Vancouver, ISO, and other styles

17

黄, 江玲. "Convergence of Preconditioned Gauss-Seidel Iterative Method." Pure Mathematics 10, no. 11 (2020): 1007–13. http://dx.doi.org/10.12677/pm.2020.1011119.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Zhongzhi, Bai, and Wang Deren. "Asynchronous multisplitting nonlinear Gauss-Seidel type method." Applied Mathematics 9, no. 2 (1994): 189–94. http://dx.doi.org/10.1007/bf02662072.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Kearfott, R. Baker. "Preconditioners for the Interval Gauss–Seidel Method." SIAM Journal on Numerical Analysis 27, no. 3 (1990): 804–22. http://dx.doi.org/10.1137/0727047.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

Xu, Ning, and Zhonghua Jiang. "Thermal aware floorplanning using Gauss-Seidel method." Journal of Electronics (China) 25, no. 6 (2008): 845–51. http://dx.doi.org/10.1007/s11767-008-0025-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Li, W., P. M. Pardalos, and C. G. Han. "Gauss-seidel method for least-distance problems." Journal of Optimization Theory and Applications 75, no. 3 (1992): 487–500. http://dx.doi.org/10.1007/bf00940488.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

Pikutić, Marko, Goran Grdenić, and Marko Delimar. "Comparison of results and calculation speeds of various power system power flow methods." Journal of Energy - Energija 66, no. 1-4 (2022): 117–27. http://dx.doi.org/10.37798/2017661-4100.

Full text

Abstract:

The theoretical part describes basic power flow methods Gauss-Seidel and Newton-Raphson in their practical forms for solving a load flow problem. In practical part, IEEE test 24, 48 and 72 node networks are used to compare basic methods in terms of calculation speed: on execution of one iteration, entire calculation and on given accuracy influence. Also is analyzed optimal acceleration factor for Gauss-Seidel method and convergences of methods. On the end, final conclusions are obtained after analyzing comparison results.

APA, Harvard, Vancouver, ISO, and other styles

23

Dessalew, Gashaye, Tesfaye Kebede, Gurju Awgichew, and Assaye Walelign. "Generalized Refinement of Gauss-Seidel Method for Consistently Ordered 2-Cyclic Matrices." Abstract and Applied Analysis 2021 (May 31, 2021): 1–7. http://dx.doi.org/10.1155/2021/8343207.

Full text

Abstract:

This paper presents generalized refinement of Gauss-Seidel method of solving system of linear equations by considering consistently ordered 2-cyclic matrices. Consistently ordered 2-cyclic matrices are obtained while finite difference method is applied to solve differential equation. Suitable theorems are introduced to verify the convergence of this proposed method. To observe the effectiveness of this method, few numerical examples are given. The study points out that, using the generalized refinement of Gauss-Seidel method, we obtain a solution of a problem with a minimum number of iteration

APA, Harvard, Vancouver, ISO, and other styles

24

Bela Amelia. "Sistem Persamaan Linear dengan Metode Gauss Seidel." Jurnal Pustaka Cendekia Pendidikan 2, no. 2 (2024): 132–36. https://doi.org/10.70292/jpcp.v2i2.22.

Full text

Abstract:

A linear equation is an algebraic equation in which each term contains a constant or multiplication of a constant with a single variable. Systems of linear equations arise directly from real problems that require a solution process. Systems of linear equations can be solved by two methods. The first method is direct, which is usually called the exact method. These methods include inverse, elimination, substitution, LU decomposition, Cholesky decomposition, QR decomposition, Crout decomposition, and ST decomposition. The second method is usually known as the indirect method or iteration method,

APA, Harvard, Vancouver, ISO, and other styles

25

Cheng, Peng, Jumat Sulaiman, Khadizah Ghazali, Majid Khan Majahar Ali, and Ming Ming Xu. "New Newton Group Iterative Methods for Solving Large-Scale Multi-Objective Constrained Optimization Problems." European Journal of Pure and Applied Mathematics 18, no. 1 (2025): 5551. https://doi.org/10.29020/nybg.ejpam.v18i1.5551.

Full text

Abstract:

With the rapid development of big data and artificial intelligence technologies, we are facing increasingly complex data and decision-making problems. Solving large-scale multi-objective constrained optimization problems can help to solve many practical engineering and scientific problems. The weighted and Lagrange multiplier methods are considered to be classical and effective methods for dealing with multiple objectives and constraints, but there are some difficulties in solving the processed unconstrained optimization problems.The Newton method is a commonly used method for solving this typ

APA, Harvard, Vancouver, ISO, and other styles

26

Nurullaeli, Nurullaeli. "Media Analisis Rangkaian Listrik Menggunakan Pendekatan Numerik Gauss-Jordan, Gauss-Seidel, dan Cramer." Navigation Physics : Journal of Physics Education 2, no. 1 (2020): 1–8. http://dx.doi.org/10.30998/npjpe.v2i1.245.

Full text

Abstract:

The aim of this study is create an analysis media for calculating the electric current in a closed circuit with one or more loops. Gauss-Jordan, Gauss-Seidel, and Cramer methods were used in this study. This media is packaged into Graphic User Interface (GUI) with matlab language program assisting. In this study, Linear Equation System (SPL) was obtained from kirchhoff current law and kirchhoff voltage law concepts. Gauss-Seidel method is not always convergent for each formed SPL, because it can only be applied when coefficient matrix A was diagonally dominant. The application of this analysis

APA, Harvard, Vancouver, ISO, and other styles

27

Sa'adah, Maria Syifaus, and Evawati Alisah. "Interpretasi Metode Gauss-Seidel pada Sistem Persamaan Linier Fuzzy dengan Bilangan Fuzzy Sigmoid." Jurnal Riset Mahasiswa Matematika 3, no. 5 (2024): 223–40. http://dx.doi.org/10.18860/jrmm.v3i5.27320.

Full text

Abstract:

A system of linear equations can be combined with a fuzzy number that produces a new equation, namely a system of fuzzy linear equations. The system of fuzzy linear equations has the general form , as an element with real numbers, as a variable of fuzzy numbers, and as a constant of fuzzy numbers. One kind of fuzzy number is sigmoid fuzzy number. The problem related to the system of fuzzy linear equations is how to solve the system of fuzzy linear equations. One method that can be used is using the Gauss-Seidel Method. This study aims to determine the results of the interpretation of the Gauss

APA, Harvard, Vancouver, ISO, and other styles

28

Hussain, Md Delwar, Md Hamidur Rahman, and Nur Mohammad Ali. "Investigation of Gauss-Seidel Method for Load Flow Analysis in Smart Grids." Scholars Journal of Engineering and Technology 12, no. 05 (2024): 169–78. http://dx.doi.org/10.36347/sjet.2024.v12i05.004.

Full text

Abstract:

Load flow analysis is essential for understanding and optimizing power system operations. It helps in determining the steady-state behavior of power systems, ensuring efficient and reliable energy transmission. This study aims to analyze a 5-bus power system using the Gauss-Seidel method for load flow analysis. The objective is to calculate steady-state voltages, voltage angles, real and reactive power flows, line losses, and overall reactive and active power losses. The Gauss-Seidel method is employed due to its suitability for small systems and ease of understanding. The method iteratively c

APA, Harvard, Vancouver, ISO, and other styles

29

Wu, Nianci, and Hua Xiang. "On the generally randomized extended Gauss-Seidel method." Applied Numerical Mathematics 172 (February 2022): 382–92. http://dx.doi.org/10.1016/j.apnum.2021.10.018.

Full text

APA, Harvard, Vancouver, ISO, and other styles

30

Ng, T. M., B. Farhang-Boroujeny, and H. K. Garg. "An accelerated Gauss–Seidel method for inverse modeling." Signal Processing 83, no. 3 (2003): 517–29. http://dx.doi.org/10.1016/s0165-1684(02)00449-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

31

Consta, A. A., N. M. Missirlis, and F. I. Tzaferis. "The local modified extrapolated Gauss–Seidel (LMEGS) method." Computers & Structures 82, no. 28 (2004): 2447–51. http://dx.doi.org/10.1016/j.compstruc.2004.04.016.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

Garcia-Cervera, C. J., and Weinan E. "Improved gauss-seidel projection method for micromagnetics simulations." IEEE Transactions on Magnetics 39, no. 3 (2003): 1766–70. http://dx.doi.org/10.1109/tmag.2003.810610.

Full text

APA, Harvard, Vancouver, ISO, and other styles

33

Nazari, Alimohammad, and Sajjad Zia Borujeni. "A Modified Precondition in the Gauss-Seidel Method." Advances in Linear Algebra & Matrix Theory 02, no. 03 (2012): 31–37. http://dx.doi.org/10.4236/alamt.2012.23005.

Full text

APA, Harvard, Vancouver, ISO, and other styles

34

Hori, Atsushi, and Masao Fukushima. "Gauss–Seidel Method for Multi-leader–follower Games." Journal of Optimization Theory and Applications 180, no. 2 (2018): 651–70. http://dx.doi.org/10.1007/s10957-018-1391-5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

Wang, Xiao-Ping, Carlos J. Garcı́a-Cervera, and Weinan E. "A Gauss–Seidel Projection Method for Micromagnetics Simulations." Journal of Computational Physics 171, no. 1 (2001): 357–72. http://dx.doi.org/10.1006/jcph.2001.6793.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Li, Weifeng, and Pingping Zhang. "Greedy Randomized Gauss-Seidel Method with Oblique Direction." Journal of Applied Mathematics and Physics 11, no. 04 (2023): 1036–48. http://dx.doi.org/10.4236/jamp.2023.114068.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

Menezes, Matheus da Silva, Paulo Henrique Lopes Silva, João Paulo Caraú de Oliveira, Raimundo Leandro Andrade Marques, and Ivan Mezzomo. "A Parallel Iterative hybrid Gauss–Jacobi–Seidel method." Journal of Computational and Applied Mathematics 468 (November 2025): 116629. https://doi.org/10.1016/j.cam.2025.116629.

Full text

APA, Harvard, Vancouver, ISO, and other styles

38

LU, HONGQIANG. "HIGH-ORDER DISCONTINUOUS GALERKIN SOLUTION OF LOW-RE VISCOUS FLOWS." Modern Physics Letters B 23, no. 03 (2009): 309–12. http://dx.doi.org/10.1142/s0217984909018278.

Full text

Abstract:

In this paper, the BR2 high-order Discontinuous Galerkin (DG) method is used to discretize the 2D Navier-Stokes (N-S) equations. The nonlinear discrete system is solved using a Newton method. Both preconditioned GMRES methods and block Gauss-Seidel method can be used to solve the resulting sparse linear system at each nonlinear step in low-order cases. In order to save memory and accelerate the convergence in high-order cases, a linear p-multigrid is developed based on the Taylor basis instead of the GMRES method and the block Gauss-Seidel method. Numerical results indicate that highly accurat

APA, Harvard, Vancouver, ISO, and other styles

39

Hendriansyah, Hendriansyah, Noertjahjani Siswandari, Kiswanto Aris, and Sam'an Muhammad. "Increasing the Efficiency of Electrical Load Calculations Using the Gauss-Seidel Method with Fuzzy Logic." Circuit: Jurnal Ilmiah Pendidikan Teknik Elektro 8, no. 2 (2024): 192. http://dx.doi.org/10.22373/crc.v8i2.24729.

Full text

Abstract:

Improving the accuracy of electric load calculations is a significant task in power system analysis, particularly when dealing with fluctuating loads. Despite its simplicity, the Gauss-Seidel method has historically had trouble handling rapidly changing loads. This paper introduces a novel hybrid approach that increases load computation accuracy and efficiency by fusing fuzzy logic with the Gauss-Seidel method. Fuzzy logic is used in this method to forecast load changes based on previous and present data, which makes load adjustments more precise and faster. The results demonstrate how much be

APA, Harvard, Vancouver, ISO, and other styles

40

Niki, Hiroshi, Toshiyuki Kohno, and Munenori Morimoto. "The preconditioned Gauss–Seidel method faster than the SOR method." Journal of Computational and Applied Mathematics 219, no. 1 (2008): 59–71. http://dx.doi.org/10.1016/j.cam.2007.07.002.

Full text

APA, Harvard, Vancouver, ISO, and other styles

41

Qin, Li Jun, and Chao Xiong. "The Analysis of Power System Network Loss." Applied Mechanics and Materials 521 (February 2014): 196–99. http://dx.doi.org/10.4028/www.scientific.net/amm.521.196.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

Sun, Shi, Ziping Huang, Cheng Wang, and Liming Guo. "The Cascadic Multigrid Method of the Weak Galerkin Method for Second-Order Elliptic Equation." Mathematical Problems in Engineering 2017 (2017): 1–8. http://dx.doi.org/10.1155/2017/7912845.

Full text

Abstract:

This paper is devoted to the analysis of the cascadic multigrid algorithm for solving the linear system arising from the weak Galerkin finite element method. The proposed cascadic multigrid method is optimal for conjugate gradient iteration and quasi-optimal for Jacobi, Gauss-Seidel, and Richardson iterations. Numerical results are also provided to validate our theoretical analysis.

APA, Harvard, Vancouver, ISO, and other styles

43

Srivastava, Atul Kumar, Mitali Srivastava, Rakhi Garg, and Pramod Kumar Mishra. "An Aitken-extrapolated Gauss-Seidel method for computing PageRank." Journal of Statistics and Management Systems 22, no. 2 (2019): 199–222. http://dx.doi.org/10.1080/09720510.2019.1580901.

Full text

APA, Harvard, Vancouver, ISO, and other styles

44

Nazaruddin, Mahalla, and Fauzi. "Gauss-Seidel Method for Calculation of Unbalanced Load Flow." IOP Conference Series: Materials Science and Engineering 536 (June 10, 2019): 012054. http://dx.doi.org/10.1088/1757-899x/536/1/012054.

Full text

APA, Harvard, Vancouver, ISO, and other styles

45

POBLET-PUIG, J., and A. RODRÍGUEZ-FERRAN. "THE BLOCK GAUSS–SEIDEL METHOD IN SOUND TRANSMISSION PROBLEMS." Journal of Computational Acoustics 18, no. 01 (2010): 13–30. http://dx.doi.org/10.1142/s0218396x10004036.

Full text

Abstract:

Sound transmission through partitions can be modeled as an acoustic fluid–elastic structure interaction problem. The block Gauss–Seidel iterative method is used in order to solve the finite element linear system of equations. The blocks are defined, respecting the fluid and structural domains. The convergence criterion is analyzed and interpreted in physical terms by means of simple one-dimensional problems. This analysis highlights the negative influence on the convergence of a strong degree of coupling between the acoustic domains and the structure. A selective coupling strategy has been dev

APA, Harvard, Vancouver, ISO, and other styles

46

Kohno, T. "Improving the Modified Gauss-Seidel Method for Z-Matrices." Linear Algebra and its Applications 267, no. 1-3 (1997): 113–23. http://dx.doi.org/10.1016/s0024-3795(97)00063-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Kohno, Toshiyuki, Hisashi Kotakemori, Hiroshi Niki, and Masataka Usui. "Improving the modified Gauss-Seidel method for Z-matrices." Linear Algebra and its Applications 267 (December 1997): 113–23. http://dx.doi.org/10.1016/s0024-3795(97)80045-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

Bai, Zhong-Zhi, Lu Wang, and Wen-Ting Wu. "On convergence rate of the randomized Gauss-Seidel method." Linear Algebra and its Applications 611 (February 2021): 237–52. http://dx.doi.org/10.1016/j.laa.2020.10.028.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

Pu, Bingyuan, and Xun Yuan. "The alternate iterative Gauss-Seidel method for linear systems." Journal of Physics: Conference Series 1411 (November 2019): 012008. http://dx.doi.org/10.1088/1742-6596/1411/1/012008.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

Liu, Zhongyun, Xiaorong Qin, Nianci Wu, and Yulin Zhang. "The Shifted Classical Circulant and Skew Circulant Splitting Iterative Methods for Toeplitz Matrices." Canadian Mathematical Bulletin 60, no. 4 (2017): 807–15. http://dx.doi.org/10.4153/cmb-2016-077-5.

Full text

Abstract:

AbstractIt is known that every Toeplitz matrix T enjoys a circulant and skew circulant splitting (denoted CSCS) i.e., T = C−S with C a circulantmatrix and S a skew circulantmatrix. Based on the variant of such a splitting (also referred to as CSCS), we first develop classical CSCS iterative methods and then introduce shifted CSCS iterative methods for solving hermitian positive deûnite Toeplitz systems in this paper. The convergence of each method is analyzed. Numerical experiments show that the classical CSCS iterative methods work slightly better than the Gauss–Seidel (GS) iterative methods

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!