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A Rank-Revealing Method with Updating, Downdating, and Applications. Part II

โœ Scribed by Lee, Tsung-Lin; Li, Tien-Yien; Zeng, Zhonggang

Book ID
118211748
Publisher
Society for Industrial and Applied Mathematics
Year
2009
Tongue
English
Weight
935 KB
Volume
31
Category
Article
ISSN
0895-4798

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Eigenvalues and Jordan canonical form of
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Let A be an n ร— n complex matrix with eigenvalues 1 , . . . , n counting algebraic multiplicities. Let X = [x 1 , . . . , x k ] be a rank-k matrix such that x 1 , . . . , x k are right eigenvectors of A corresponding to 1 , . . . , k for 1 k n, respectively, and V =[v 1 , . . . , v k ] โˆˆ C nร—k be co