Computing the Eigenvectors of a Matrix With Multiplex Eigenvalues by SVD Method

CHI Bin; YE Qing-kai

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CHI Bin, YE Qing-kai. Computing the Eigenvectors of a Matrix With Multiplex Eigenvalues by SVD Method[J]. Applied Mathematics and Mechanics, 2004, 25(3): 233-238.

Citation:

CHI Bin, YE Qing-kai. Computing the Eigenvectors of a Matrix With Multiplex Eigenvalues by SVD Method[J]. Applied Mathematics and Mechanics, 2004, 25(3): 233-238.

Citation:

CHI Bin, YE Qing-kai. Computing the Eigenvectors of a Matrix With Multiplex Eigenvalues by SVD Method[J]. Applied Mathematics and Mechanics, 2004, 25(3): 233-238.

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Computing the Eigenvectors of a Matrix With Multiplex Eigenvalues by SVD Method

Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P. R. China

Received Date: 2002-03-26
Rev Recd Date: 2003-11-18
Publish Date: 2004-03-15

Abstract

Abstract

Every matrix is similar to a matrix in Jordan canonical form, which has very important sense in the theory of linear algebra and its engineering application. For a matrix with multiplex eigenvalues, an algorithm based on the singular value decomposition(SVD) for computing its eigenvectors and Jordan canonical form was proposed. Numerical simulation shows that this algorithm has good effect in computing the eigenvectors and its Jordan canonical form of a matrix with multiplex eigenvalues. It is superior to MATLAB and MATHEMATICA.
- multiplex eigenvalue,
- eigenvector,
- eigenvector chain,
- Jordan canonical form

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References(6)

References

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