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Efficient Solution Of The Rank-Deficient Linear Least Squares Problem

✍ Scribed by Quintana-Ortí, Gregorio; Quintana-Ortí, Enrique S.; Petitet, Antoine


Book ID
118189606
Publisher
Society for Industrial and Applied Mathematics
Year
1998
Tongue
English
Weight
266 KB
Volume
20
Category
Article
ISSN
1064-8275

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Approximating minimum norm solutions of
✍ Achiya Dax; Lars Eldén 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 133 KB 👁 2 views

In this paper we consider the solution of linear least squares problems min x Ax -b 2 2 where the matrix A ∈ R m×n is rank deficient. Put p = min{m, n}, let σ i , i = 1, 2, . . . , p, denote the singular values of A, and let u i and v i denote the corresponding left and right singular vectors. Then