江躍勇
【摘 要】Yun提了一種對(duì)對(duì)稱(chēng)M-矩陣的不完全分解預(yù)條件技術(shù).本文給出的預(yù)條件方法對(duì)上述方法予以了改進(jìn), 改進(jìn)的方法收斂速度更快.
【關(guān)鍵詞】不完全分解;M-矩陣;稀疏矩陣;共軛梯度法
1 主要結(jié)果
在文獻(xiàn)[1]中, Yun提出了一種對(duì)系數(shù)矩陣為大型稀疏塊三對(duì)角對(duì)稱(chēng)M-陣的線性方程組的預(yù)條件技術(shù),本文對(duì)這種技術(shù)進(jìn)行了改進(jìn).
【參考文獻(xiàn)】
[1]Jae Heon Yun, Block incomplete factorization preconditioners for a symmetric block-tridiagonal M-matrix, Journal of Computational and Applied Mathematics[Z], 94 (1998): 133-152.
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[5]D.G. Luenbeger, Introduction to Linear and Nonlinear Progrmming Addison-Wesley, New York, 1973[Z].
[6]Yousef Saad, ILUT: A dual threshold incomplete LU factorization. Numer. Linear Algebra Appl., 4:387-402, 1994[Z].
[7]Michele Benzi, Preconditioning Techniques for Large Linear Systems: A Survey, Journal of Comp. Physics, 182(2002): 418-477[Z].
[責(zé)任編輯:楊玉潔]