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22 April 2022 Study about three methods of solving linear equations
Yichen Zhou
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Proceedings Volume 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021); 121633B (2022) https://doi.org/10.1117/12.2628016
Event: International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 2021, Nanjing, China
Abstract
Since linear equations have great contribution in the study of the numerical pde, therefore it has been studied for ages. In this paper, I will write a survey that contains three methods of solving the linear equations, as well as the implementations of these three methods. After that, other methods of finding the inverse matrix of a specific sparse matrix will be shown. Three methods are the Gauss elimination, LU decomposition and Cholesky decomposition. These algorithms can be implemented by invoking related built-in functions in MATLAB. The LU decomposition, as a method of decomposing a matrix into an upper triangular matrix and a lower triangular matrix, can be performed by calling the function lu() in MATLAB. Cholesky factorization can be achieved by calling the function chol() in MATLAB.
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Yichen Zhou "Study about three methods of solving linear equations", Proc. SPIE 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 121633B (22 April 2022); https://doi.org/10.1117/12.2628016
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KEYWORDS
Matrices
Linear algebra
MATLAB
Evolutionary algorithms
Mathematical modeling
Mathematics
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