singular value decomposition analysis

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• Singular value decomposition — Visualization of the SVD of a 2 dimensional, real shearing matrix M. First, we see the unit disc in blue together with the two canonical unit vectors. We then see the action of M, which distorts the disk to an ellipse. The SVD decomposes M into… …   Wikipedia

• Singular value — In mathematics, in particular functional analysis, the singular values, or s numbers of a compact operator T acting on a Hilbert space are defined as the eigenvalues of the operator sqrt{T^*T} (where T * denotes the adjoint of T and the square… …   Wikipedia

• Decomposition en valeurs singulieres — Décomposition en valeurs singulières En mathématiques, le procédé d algèbre linéaire de décomposition en valeurs singulières (ou SVD, de l anglais : Singular Value Decomposition) d une matrice est un outil important de factorisation des… …   Wikipédia en Français

• Décomposition En Valeurs Singulières — En mathématiques, le procédé d algèbre linéaire de décomposition en valeurs singulières (ou SVD, de l anglais : Singular Value Decomposition) d une matrice est un outil important de factorisation des matrices rectangulaires réelles ou… …   Wikipédia en Français

• Décomposition en valeurs singulières — En mathématiques, le procédé d algèbre linéaire de décomposition en valeurs singulières (ou SVD, de l anglais : Singular Value Decomposition) d une matrice est un outil important de factorisation des matrices rectangulaires réelles ou… …   Wikipédia en Français

• Principal component analysis — PCA of a multivariate Gaussian distribution centered at (1,3) with a standard deviation of 3 in roughly the (0.878, 0.478) direction and of 1 in the orthogonal direction. The vectors shown are the eigenvectors of the covariance matrix scaled by… …   Wikipedia

• Principal components analysis — Principal component analysis (PCA) is a vector space transform often used to reduce multidimensional data sets to lower dimensions for analysis. Depending on the field of application, it is also named the discrete Karhunen Loève transform (KLT),… …   Wikipedia

• Numerical analysis — Babylonian clay tablet BC 7289 (c. 1800–1600 BC) with annotations. The approximation of the square root of 2 is four sexagesimal figures, which is about six decimal figures. 1 + 24/60 + 51/602 + 10/603 = 1.41421296...[1] Numerical analysis is the …   Wikipedia

• Polar decomposition — In mathematics, particularly in linear algebra and functional analysis, the polar decomposition of a matrix or linear operator is a factorization analogous to the polar form of a nonzero complex number z where r is the absolute value of z (a… …   Wikipedia

• Latent semantic analysis — (LSA) is a technique in natural language processing, in particular in vectorial semantics, of analyzing relationships between a set of documents and the terms they contain by producing a set of concepts related to the documents and terms. LSA was …   Wikipedia

• CP decomposition — In multilinear algebra, the canonical polyadic decomposition (CPD), historically known as PARAFAC and later CANDECOMP, is a generalization of the matrix singular value decomposition (SVD) to tensors, with many applications in in statistics,… …   Wikipedia