Solving Large-Scale Asymmetric Sparse Linear Equations Based on SuperLU Algorithm

Author:

Wang Pei1,Yang Xu Sheng1,Wang Zhuo Yuan1,Li Lin Gong1,He Ji Chang2,Wang Qing Jie1

Affiliation:

1. Zhejiang University

2. ACEA Biology Company

Abstract

This article introduces the recent research of SuperLU algorithms and the optimal storage method for [1] the sparse linear equations of coefficient matrix. How to solve large-scale non-symmetric sparse linear equations by SuperLU algorithm is the key part of this article. The advantage of SuperLU algorithm compared to other algorithms is summarized at last. SuperLU algorithm not only saves memory space, but also reduces the computation time. Because of less storage needed by this algorithm, it could solve equation with larger scale, which is much more useful.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Reference10 articles.

1. Qu Changzheng, Kang jing. Nonlocal Symmetries to Systems of Nonlinear Diffusion Equations, Communications in Theoretical Physics, Vol. 49, No. 1, 9-16, (2008).

2. Zhang Tan'e, Sun Jianping, Wang Xizhao. A Method to Solve Systems of Fuzzy Linear Equations, Chinese quarterly Journal of mathematics, Vol. 13, No. 4, 106-110, (1998).

3. Chen Zhiming. Numerical Mathematics, A Journal of Chinese Universities Numer. Math.J. Chinese Univ, issue2, Vol. 16, No4, 164-170, (2007).

4. Wu Min, He Bei, She Jinhua. A Fast LDL-factorization Approach for Large Sparse Positive Definite System and Its Application to One-to-one Marketing Optimization, International Journal of Automation and Computing, Vol. 04, No1, 88-94, (2007).

5. James W. Demmel, John R. Gilbert, Xiaoye S. Li. SuperLU Users' Guide, (1999).

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