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HU Sheng-rong,DAI Na-xin. A Novel Method for Solving Ill-Conditioned Linear System: Augmented System Method[J]. Journal of South China Agricultural University, 2009, 30(1). DOI: 10.7671/j.issn.1001-411X.2009.01.031
Citation: HU Sheng-rong,DAI Na-xin. A Novel Method for Solving Ill-Conditioned Linear System: Augmented System Method[J]. Journal of South China Agricultural University, 2009, 30(1). DOI: 10.7671/j.issn.1001-411X.2009.01.031
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A Novel Method for Solving Ill-Conditioned Linear System: Augmented System Method

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  • Put an ill-conditioned system into a suitable augmented system,and solve it with ordinary methods.Although as a whole the augmented solution may be very erroneous,the original system solution is just a local part,and can be very precise.Numerical examples showed the presented method could solve extremely ill-conditioned linear systems simply and effectively.
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