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Matrix decomposition

In the mathematical discipline of linear algebra, a matrix decomposition or matrix factorization is a factorization of a matrix into a product of matrices. There are many different matrix decompositions; each finds use among a particular class of problems.

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Decompositions related to solving systems of linear equations

Decompositions based on eigenvalues and related concepts

Other decompositions

Generalizations

Bibliography

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Matrix decomposition

Nodes78
Edges77
Triples77
Avg. degree1.97
Density0.025641
Components1

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Matrix decomposition

Top relations

related to Bibliography · 56
Matrix decomposition → Acta Mathematica, Algebraic, Applied Linear Algebra, April, Bibcode, Blume, Choudhury, Complex Orthogonal-Symmetric Analog, Continuous, Contragredient, Dennis, Dipa, Discrete Methods, Economists, Entwicklung, Fredholm, French, Funktionen, German, Ges
related to Scale-invariant decompositions · 10
Matrix decomposition → Applicable, Comment, Diagonal, DUSV, Is, Refers, SVD, The, Uniqueness, Unit-Scale-Invariant Singular-Value Decomposition
related to External links · 8
Matrix decomposition → Decomposition Computation, GraphLab, LU, Mathematics, Matrix, Online Matrix Calculator Archived, QR DecompositionSpringer Encyclopaedia, Wayback MachineWolfram Alpha Matrix

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Important terminology

matrix displaystyle decomposition square comment diagonal unitary real applicable matrices eigenvalues triangular complex unique lu upper elements singular form positive

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
floating point.Similarlyinstance ofthough one might require significantly more digits in inexact arithmetic0.80text
the QR decomposition expresses A as QR with Q an orthogonal matrixinstance ofthough one might require significantly more digits in inexact arithmetic0.80text
R an upper triangular matrixinstance ofthough one might require significantly more digits in inexact arithmetic0.80text
Matrix decompositionrelated to BibliographyChoudhury0.60section
Matrix decompositionrelated to BibliographyDipa0.60section
Matrix decompositionrelated to BibliographyHorn0.60section
Matrix decompositionrelated to BibliographyRoger0.60section
Matrix decompositionrelated to BibliographyApril0.60section
Matrix decompositionrelated to BibliographyComplex Orthogonal-Symmetric Analog0.60section
Matrix decompositionrelated to BibliographyPolar Decomposition0.60section
Matrix decompositionrelated to BibliographySIAM Journal0.60section
Matrix decompositionrelated to BibliographyAlgebraic0.60section

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