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Uchanganuzi wa Thamani Pekee

Uchanganuzi wa Thamani Pekee (SVD) ni mbinu msingi ya ugawanyaji wa matriki ambayo huigawanya matriki yoyote m × n iitwaye A katika bidhaa A = U Σ V^T, ambapo U na V ni matriki za kipeo na Σ ni matriki bapa yenye thamani pekee. Iliyotengenezwa na Gene Golub na wengineo katika miaka ya 1960–1970, SVD ndiyo njia imara zaidi ya kuchanganua muundo wa matriki na kutatua mifumo ya mstari.

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Vyanzo

  1. 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
  2. Golub, G. H., & Van Loan, C. F. (1983). Matrix computations (2nd ed.). Johns Hopkins University Press. ISBN: 0801854148
  3. Trefethen, L. N., & Bau, D. (1997). Numerical Linear Algebra. SIAM. DOI: 10.1137/1.9780898719574

Jinsi ya kunukuu ukurasa huu

ScholarGate. (2026, June 3). Singular Value Decomposition (SVD). ScholarGate. https://scholargate.app/sw/numerical-methods/singular-value-decomposition

Imerejelewa na

ScholarGateSingular Value Decomposition (Singular Value Decomposition (SVD)). Imepatikana 2026-06-15 kutoka https://scholargate.app/sw/numerical-methods/singular-value-decomposition · Seti ya data: https://doi.org/10.5281/zenodo.20539026