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- Singular_value_decomposition abstract "In linear algebra, the singular value decomposition (SVD) is a factorization of a real or complex matrix, with many useful applications in signal processing and statistics.Formally, the singular value decomposition of an m×n real or complex matrix M is a factorization of the form where U is a m×m real or complex unitary matrix, Σ is an m×n rectangular diagonal matrix with nonnegative real numbers on the diagonal, and V* (the conjugate transpose of V, or simply the transpose of V if V is real) is an n×n real or complex unitary matrix. The diagonal entries Σi,i of Σ are known as the singular values of M. The m columns of U and the n columns of V are called the left-singular vectors and right-singular vectors of M, respectively.The singular value decomposition and the eigendecomposition are closely related. Namely: The left-singular vectors of M are eigenvectors of MM*. The right-singular vectors of M are eigenvectors of M*M. The non-zero singular values of M (found on the diagonal entries of Σ) are the square roots of the non-zero eigenvalues of both M*M and MM*.Applications which employ the SVD include computing the pseudoinverse, least squares fitting of data, matrix approximation, and determining the rank, range and null space of a matrix.".
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- Singular_value_decomposition wikiPageExternalLink index.html?pg=65.
- Singular_value_decomposition wikiPageExternalLink eofsvd.html.
- Singular_value_decomposition wikiPageExternalLink stewart92early.html.
- Singular_value_decomposition wikiPageExternalLink kluwer2002.html.
- Singular_value_decomposition wikiPageExternalLink Singular-Value-Decomposition.html.
- Singular_value_decomposition wikiPageID "142207".
- Singular_value_decomposition wikiPageRevisionID "604162869".
- Singular_value_decomposition hasPhotoCollection Singular_value_decomposition.
- Singular_value_decomposition subject Category:Functional_analysis.
- Singular_value_decomposition subject Category:Linear_algebra.
- Singular_value_decomposition subject Category:Matrix_decompositions.
- Singular_value_decomposition subject Category:Matrix_theory.
- Singular_value_decomposition subject Category:Numerical_linear_algebra.
- Singular_value_decomposition subject Category:Singular_value_decomposition.
- Singular_value_decomposition type Abstraction100002137.
- Singular_value_decomposition type Algebra106012726.
- Singular_value_decomposition type Cognition100023271.
- Singular_value_decomposition type Content105809192.
- Singular_value_decomposition type Decomposition106013471.
- Singular_value_decomposition type Discipline105996646.
- Singular_value_decomposition type KnowledgeDomain105999266.
- Singular_value_decomposition type Mathematics106000644.
- Singular_value_decomposition type MatrixDecompositions.
- Singular_value_decomposition type PsychologicalFeature100023100.
- Singular_value_decomposition type PureMathematics106003682.
- Singular_value_decomposition type Science105999797.
- Singular_value_decomposition type VectorAlgebra106013298.
- Singular_value_decomposition comment "In linear algebra, the singular value decomposition (SVD) is a factorization of a real or complex matrix, with many useful applications in signal processing and statistics.Formally, the singular value decomposition of an m×n real or complex matrix M is a factorization of the form where U is a m×m real or complex unitary matrix, Σ is an m×n rectangular diagonal matrix with nonnegative real numbers on the diagonal, and V* (the conjugate transpose of V, or simply the transpose of V if V is real) is an n×n real or complex unitary matrix. ".
- Singular_value_decomposition label "Decomposizione ai valori singolari".
- Singular_value_decomposition label "Decomposição em valores singulares".
- Singular_value_decomposition label "Descomposición en valores singulares".
- Singular_value_decomposition label "Décomposition en valeurs singulières".
- Singular_value_decomposition label "Rozkład według wartości osobliwych".
- Singular_value_decomposition label "Singular value decomposition".
- Singular_value_decomposition label "Singulierewaardenontbinding".
- Singular_value_decomposition label "Singulärwertzerlegung".
- Singular_value_decomposition label "Сингулярное разложение".
- Singular_value_decomposition label "奇异值分解".
- Singular_value_decomposition label "特異値分解".
- Singular_value_decomposition sameAs Singulärwertzerlegung.
- Singular_value_decomposition sameAs Ανάλυση_πίνακα_σε_ιδιάζουσες_τιμές.
- Singular_value_decomposition sameAs Descomposición_en_valores_singulares.
- Singular_value_decomposition sameAs Décomposition_en_valeurs_singulières.
- Singular_value_decomposition sameAs Dekomposisi_nilai_singular.
- Singular_value_decomposition sameAs Decomposizione_ai_valori_singolari.
- Singular_value_decomposition sameAs 特異値分解.
- Singular_value_decomposition sameAs 특이값_분해.
- Singular_value_decomposition sameAs Singulierewaardenontbinding.
- Singular_value_decomposition sameAs Rozkład_według_wartości_osobliwych.
- Singular_value_decomposition sameAs Decomposição_em_valores_singulares.
- Singular_value_decomposition sameAs m.011xd4.
- Singular_value_decomposition sameAs Q420904.
- Singular_value_decomposition sameAs Q420904.
- Singular_value_decomposition sameAs Singular_value_decomposition.
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- Singular_value_decomposition depiction Singular_value_decomposition.gif.
- Singular_value_decomposition isPrimaryTopicOf Singular_value_decomposition.
