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Singular value decomposition
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==References== * {{Citation | last1 = Banerjee | first1 = Sudipto | last2 = Roy | first2 = Anindya | date = 2014 | title = Linear Algebra and Matrix Analysis for Statistics | series = Texts in Statistical Science | publisher = Chapman and Hall/CRC | edition = 1st | isbn = 978-1420095388}} * {{Cite book | last1=Bisgard | first1 = James | year = 2021 | title = Analysis and Linear Algebra: The Singular Value Decomposition and Applications | series = Student Mathematical Library | publisher = AMS | edition = 1st | isbn = 978-1-4704-6332-8}} * {{cite journal | last1 = Chicco | first1 = D | last2 = Masseroli | first2 = M | year = 2015 | title = Software suite for gene and protein annotation prediction and similarity search | journal = IEEE/ACM Transactions on Computational Biology and Bioinformatics | volume = 12 | issue = 4 | pages = 837–843 | doi=10.1109/TCBB.2014.2382127 | pmid = 26357324 | hdl = 11311/959408 | s2cid = 14714823 | url = https://doi.org/10.1109/TCBB.2014.2382127 | hdl-access = free }} * {{Cite book | last2=Bau III | first2=David | last1=Trefethen | first1=Lloyd N. | author1-link = Lloyd N. Trefethen | title=Numerical linear algebra | publisher=Society for Industrial and Applied Mathematics | location=Philadelphia | isbn=978-0-89871-361-9 | year=1997 }} * {{Cite journal | last1=Demmel | first1=James | author1-link = James Demmel | last2=Kahan | first2=William | author2-link=William Kahan | title=Accurate singular values of bidiagonal matrices | doi=10.1137/0911052 | year=1990 | journal= SIAM Journal on Scientific and Statistical Computing| volume=11 | issue=5 | pages=873–912 | citeseerx=10.1.1.48.3740 }} * {{Cite journal | last1=Golub | first1=Gene H. | author1-link=Gene H. Golub | last2=Kahan | first2=William | author2-link=William Kahan | title=Calculating the singular values and pseudo-inverse of a matrix | jstor=2949777 | year=1965 | journal=Journal of the Society for Industrial and Applied Mathematics, Series B: Numerical Analysis | volume=2 | issue=2 | pages=205–224 | doi=10.1137/0702016 | bibcode=1965SJNA....2..205G }} * {{Cite book | last1=Golub | first1=Gene H. | author1-link=Gene H. Golub | last2=Van Loan | first2=Charles F. | author2-link=Charles F. Van Loan | title=Matrix Computations | publisher=Johns Hopkins | edition=3rd | isbn=978-0-8018-5414-9 | year=1996 }} * {{Cite book | last1=GSL Team | title=GNU Scientific Library. Reference Manual | year=2007 | chapter=§14.4 Singular Value Decomposition | chapter-url=https://www.gnu.org/software/gsl/manual/html_node/Singular-Value-Decomposition.html }} * Halldor, Bjornsson and Venegas, Silvia A. (1997). [http://brunnur.vedur.is/pub/halldor/TEXT/eofsvd.html "A manual for EOF and SVD analyses of climate data"]. McGill University, CCGCR Report No. 97-1, Montréal, Québec, 52pp. * {{Cite journal | doi = 10.1007/BF01937276 | last1 = Hansen | first1 = P. C. | year = 1987 | title = The truncated SVD as a method for regularization | journal = BIT | volume = 27 | issue = 4 | pages = 534–553 | s2cid = 37591557 }} *{{cite book |author1=Horn, Roger A. |author2=Johnson, Charles R. |title=Matrix Analysis |publisher=Cambridge University Press |year=1985 |isbn=978-0-521-38632-6 |chapter=Section 7.3 }} *{{cite book |author1=Horn, Roger A. |author2=Johnson, Charles R. |title=Topics in Matrix Analysis |chapter-url=https://archive.org/details/topicsinmatrixan0000horn |chapter-url-access=registration |publisher=Cambridge University Press |year=1991 |isbn=978-0-521-46713-1 |chapter=Chapter 3 }} *{{cite book |author=Samet, H. |title=Foundations of Multidimensional and Metric Data Structures |publisher=Morgan Kaufmann |year=2006 |isbn=978-0-12-369446-1 |url-access=registration |url=https://archive.org/details/foundationsofmul00same }} *{{cite book |author=Strang G. |title=Introduction to Linear Algebra |publisher=Wellesley-Cambridge Press |year=1998 |isbn=978-0-9614088-5-5 |edition=3rd |chapter=Section 6.7 }} * {{Cite journal | last1=Stewart | first1=G. W. | title=On the Early History of the Singular Value Decomposition | url=https://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.23.1831 | doi=10.1137/1035134 | jstor=2132388|year=1993 | journal=SIAM Review | volume=35 | issue=4 | pages=551–566 | citeseerx=10.1.1.23.1831 | hdl=1903/566 }} *{{cite book |last1=Wall|first1 = Michael E.|first2 = Andreas|last2 = Rechtsteiner|first3 = Luis M.|last3 = Rocha | author3-link = Luis M. Rocha | chapter=Singular value decomposition and principal component analysis |chapter-url=http://public.lanl.gov/mewall/kluwer2002.html |editor1=D.P. Berrar |editor2=W. Dubitzky |editor3=M. Granzow |title=A Practical Approach to Microarray Data Analysis |publisher=Kluwer |location=Norwell, MA |year=2003 |pages=91–109 }} *{{Citation|last1=Press|first1=WH|last2=Teukolsky|first2=SA|last3=Vetterling|first3=WT|last4=Flannery|first4=BP|year=2007|title=Numerical Recipes: The Art of Scientific Computing|edition=3rd|publisher=Cambridge University Press| location=New York|isbn=978-0-521-88068-8|chapter=Section 2.6|chapter-url=http://apps.nrbook.com/empanel/index.html?pg=65}}
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