Cholesky Factorization Method - Part 1: Decomposition | Numerical Methods with Python
Автор: mechtutor com
Загружено: 2019-12-21
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Cholesky factorization method (after André-Louis Cholesky) is explained with examples. The tutorial includes the definitions of the numerical methods of LU-decomposition and Cholesky decomposition, the conditions of Cholesky decomposition, the use of Numpy eigenvalue functions to test the positive definiteness, the derivation of Cholesky algorithm and writing a python code. The code can be used solve systems with multiple absolute vector [b], such as in analyzing a structure at varying loads or under the effect of mechanical vibrations. That's why Cholesky method is very common in the fields of mechanical and civil engineering.
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