Direct Perturbation Method for Reanalysis of Matrix Singular Value Decomposition

Lü Zhenhua

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Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(5): 441-446

Lü Zhenhua. Direct Perturbation Method for Reanalysis of Matrix Singular Value Decomposition[J]. Applied Mathematics and Mechanics, 1997, 18(5): 441-446.

Citation:

Lü Zhenhua. Direct Perturbation Method for Reanalysis of Matrix Singular Value Decomposition[J]. Applied Mathematics and Mechanics, 1997, 18(5): 441-446.

Citation:

Lü Zhenhua. Direct Perturbation Method for Reanalysis of Matrix Singular Value Decomposition[J]. Applied Mathematics and Mechanics, 1997, 18(5): 441-446.

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Direct Perturbation Method for Reanalysis of Matrix Singular Value Decomposition

Lü Zhenhua

Qinghua University, Beijing 100084, P. R. China

Received Date: 1995-07-28
Rev Recd Date: 1996-11-10
Publish Date: 1997-05-15

Abstract

Abstract

The perturbational reanalysis technique of matrix singular value decomposition isapplicable to many theoretical and practical problems in mathematics,mechanics,control theory,engineering,etc..An indirect perturbation method has previously beenproposed by,the author in this journal,and now the direct perturbation method hasalso been presented in this paper.The second-order perturbation results of nonrepeated singular values and the corresponding left and right singular vectors areobtained.The results can meet the general needs of most problems of various practicalapplications.A numerical example is presented to demonstrate the effectiveness of thedirect perturbation method.
- matrix algebra,
- singular value decomposition,
- reanalysis,
- perturbation method

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References(7)

References

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