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A Rank-Revealing Method with Updating, Downdating, and Applications

✍ Scribed by Li, T. Y.; Zeng, Zhonggang

Book ID: 118216084
Publisher: Society for Industrial and Applied Mathematics
Year: 2005
Tongue: English
Weight: 294 KB
Volume: 26
Category: Article
ISSN: 0895-4798
DOI: 10.1137/s0895479803435282

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Let A be an n × 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 ] ∈ C n×k be co