Concepedia

Singular Value Decomposition

Singular Value Decomposition is a matrix factorization method that decomposes a real or complex matrix into the product of three matrices—where the first and third are unitary (or orthogonal in the real case) and the second is a diagonal matrix with non-negative real numbers on the diagonal—thereby revealing the canonical structure of linear transformations in terms of singular values and associated singular vectors.

6.7K

Publications

453.1K

Citations

15.9K

Authors

3.5K

Institutions

Publications per year

2017–2026

1.8K

Variants

Svd

Parents

Publications

6.7K

Indexing by latent semantic analysis

Scott Deerwester, Susan Dumais, George W. Furnas et al. · Journal of the American Society for Information Science · 1990 · 12.8K citations

, , +13

Tensor Decompositions and Applications

Tamara G. Kolda, Brett W. Bader · SIAM Review · 2009 · 10.5K citations

, , +12

Principal component analysis in linear systems: Controllability, observability, and model reduction

B. Moore · IEEE Transactions on Automatic Control · 1981 · 5.3K citations

, , +12

A new algorithm for surface deformation monitoring based on small baseline differential SAR interferograms

P. Berardino, G. Fornaro, Riccardo Lanari et al. · IEEE Transactions on Geoscience and Remote Sensing · 2002 · 5.1K citations

, , +16

Missing value estimation methods for DNA microarrays

Olga G. Troyanskaya, Michael Cantor, Gavin Sherlock et al. · Bioinformatics · 2001 · 4.3K citations · Full text

, , +15

1–5 of 6.7K

Authors

15.9K

  1. BD
    Bart De Moor

    KU Leuven, Belgium

    24 publications · 5.7K citations

    18

    h-index

  2. FS
    Francesco Soldovieri

    Istituto per il Rilevamento Elettromagnetico dell'Ambiente, Italy

    22 publications · 1.3K citations

    18

    h-index

  3. GH
    Gene H. Golub

    Stanford University, United States

    19 publications · 8.5K citations

    18

    h-index

  4. RP
    Rocco Pierri

    University of Campania "Luigi Vanvitelli", Italy

    25 publications · 961 citations

    18

    h-index

  5. FT
    Franklin T. Luk

    Cornell University, United States

    22 publications · 1.4K citations

    16

    h-index

1–5 of 15.9K

Institutions

3.5K

  1. Stanford University

    Stanford, United States

    41 h-index

    148 publications

    60.5K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    36 h-index

    280 publications

    24.8K citations

  3. Massachusetts Institute of Technology

    Cambridge, United States

    34 h-index

    121 publications

    15K citations

  4. University of California, Berkeley

    Berkeley, United States

    32 h-index

    85 publications

    18.2K citations

  5. University of Electronic Science and Technology of China

    Chengdu, China

    30 h-index

    131 publications

    9.1K citations

  6. Chinese Academy of Sciences

    Beijing, China

    30 h-index

    201 publications

    9.3K citations

  7. KU Leuven

    Leuven, Belgium

    27 h-index

    158 publications

    8.8K citations

  8. Carnegie Mellon University

    Pittsburgh, United States

    27 h-index

    75 publications

    8.5K citations

1–8 of 3.5K

Venues

  1. SIAM Journal on Matrix Analysis and Applications

    117 publications · 12.8K citations

    47

    h-index

  2. IEEE Transactions on Signal Processing

    99 publications · 7.1K citations

    46

    h-index

  3. Linear Algebra and its Applications

    80 publications · 3.7K citations

    35

    h-index

  4. IEEE Transactions on Geoscience and Remote Sensing

    67 publications · 10.7K citations

    35

    h-index

  5. arXiv (Cornell University)

    Repository · 117 publications · 6.2K citations

    33

    h-index

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