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Citation: CHEN Fei-Wu, ZHAO Xiao-Hong. Iterative Solution of Large-Scale Linear Equations[J]. Acta Physico-Chimica Sinica, ;2009, 25(10): 2143-2146. doi: 10.3866/PKU.WHXB20091016 shu

Iterative Solution of Large-Scale Linear Equations

1.
Department of Chemistry, University of Science and Technology Beijing, Beijing 100083, P. R. China

Received Date: 29 May 2009
Available Online: 27 August 2009

The Davidson's method originally developed for eigenvalue problems was extended to solve large-scale linear equations. It can be used for symmetrical and nonsymmetrical matrices. Numerical results presented in this study demonstrate that the present scheme is much more effective than conjugate gradient method and biconjugate gradient method for symmetrical and nonsymmetrical problems, respectively.
- Linear equations,
- Davidson’s method,
- Conjugate gradient method,
- Biconjugate gradient method
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