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Singular value decomposition of large random matrices (for two-way classification of microarrays)

✍ Scribed by Marianna Bolla; Katalin Friedl; András Krámli

Book ID
108185611
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
720 KB
Volume
101
Category
Article
ISSN
0047-259X

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Locating coalescing singular values of l
Locating coalescing singular values of large two-parameter matrices
✍ Luca Dieci; M. Grazia Gasparo; Alessandra Papini; Alessandro Pugliese 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 220 KB

Consider a matrix valued function A(x) ∈ R m×n , m ≥ n, smoothly depending on parameters x ∈ ⊂ R 2 , where is simply connected and bounded. We consider a technique to locate parameter values where some of the q dominant (q ≤ n) singular values of A coalesce, in the specific case when A is large and