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# Singular value decomposition

Known as: SVD, Singular-value decomposition, SV decomposition
In linear algebra, the singular value decomposition (SVD) is a factorization of a real or complex matrix. It is the generalization of the… Expand
Wikipedia

## Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2010
Highly Cited
2010
• IEEE Transactions on Instrumentation and…
• 2010
• Corpus ID: 41240839
The main objective of developing an image-watermarking technique is to satisfy both imperceptibility and robustness requirements… Expand
Highly Cited
2010
Highly Cited
2010
• L. Grasedyck
• SIAM J. Matrix Anal. Appl.
• 2010
• Corpus ID: 30154794
We define the hierarchical singular value decomposition (SVD) for tensors of order $d\geq2$. This hierarchical SVD has properties… Expand
Review
2009
Review
2009
• SIAM Rev.
• 2009
• Corpus ID: 16074195
This survey provides an overview of higher-order tensor decompositions, their applications, and available software. A tensor is a… Expand
Highly Cited
2007
Highly Cited
2007
• Milestones in Matrix Computation
• 2007
• Corpus ID: 123532178
Let A be a real m×n matrix with m≧n. It is well known (cf. [4]) that $$A = U\sum {V^T}$$ (1) where {U^T}U = {V^T}V… Expand
Highly Cited
2007
Highly Cited
2007
A key part of a recommender system is a collaborative filtering algorithm predicting users’ preferences for items. In this paper… Expand
Highly Cited
2002
Highly Cited
2002
We introduce an incremental singular value decomposition (SVD) of incomplete data. The SVD is developed as data arrives, and can… Expand
Highly Cited
2000
Highly Cited
2000
• SIAM J. Matrix Anal. Appl.
• 2000
• Corpus ID: 14344372
We discuss a multilinear generalization of the singular value decomposition. There is a strong analogy between several properties… Expand
Highly Cited
1998
Highly Cited
1998
• IEEE Trans. Commun.
• 1998
• Corpus ID: 1305806
We present and analyze low-rank channel estimators for orthogonal frequency-division multiplexing (OFDM) systems using the… Expand
Review
1993
Review
1993
This paper surveys the contributions of five mathematicians—Eugenio Beltrami (1835–1899), Camille Jordan (1838–1921), James… Expand
Review
1980
Review
1980
• 1980
• Corpus ID: 6523608
We provide a tutorial introduction to certain numerical computations both in linear algebra and linear systems in the context of… Expand