Different methods of square-rooting 2 X 2 matrices
This thesis deals with four different methods of square-rooting 2 X 2 matrices - the exact, numerical, factorization and transformation methods. The exact method makes use of the diagonalization of matrices while the numerical method applies the extension of the Newton-Raphson method to matrices. In...
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| Main Authors: | , |
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| 格式: | text |
| 語言: | English |
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Animo Repository
1993
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| 在線閱讀: | https://animorepository.dlsu.edu.ph/etd_bachelors/16094 |
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| 總結: | This thesis deals with four different methods of square-rooting 2 X 2 matrices - the exact, numerical, factorization and transformation methods. The exact method makes use of the diagonalization of matrices while the numerical method applies the extension of the Newton-Raphson method to matrices. In the Factorization method, the knowledge of prime factorization of matrices for a certain set of 2 X 2 matrices is used. Lastly, transformation method has the analogue of the De Moivre's Theorem as the main tool for square-rooting 2 X 2 matrices. Specifically, the procedure of getting the square roots of 2 X 2 matrices is discussed as well as the cases and conditions where the four methods work. Furthermore, examples are given to help illustrate the applicability of each method. |
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