Singular Value Decomposition
Singular Value Decomposition (SVD) is a fundamental matrix factorization technique that decomposes any m × n matrix A into the product A = U Σ V^T, where U and V are orthogonal matrices and Σ is a diagonal matrix of singular values. Developed by Gene Golub and others in the 1960s–1970s, SVD is the most robust method for analyzing matrix structure and solving linear systems.
Source record
Citations copied verbatim from the method’s source record. No claim-level verification is inferred from them.
- Golub, G. H., & Kahan, W. (1970). Calculating the singular values and pseudo-inverse of a matrix. Journal of the SIAM Series B: Numerical Analysis, 2(2), 205–224. · DOI 10.1137/0702016
- Golub, G. H., & Van Loan, C. F. (1983). Matrix computations (2nd ed.). Johns Hopkins University Press. · ISBN 0801854148
- Trefethen, L. N., & Bau, D. (1997). Numerical Linear Algebra. SIAM. · DOI 10.1137/1.9780898719574
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