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matrix factorization (Definition)
FactorizationTheorem

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"matrix factorization" is owned by mathcam. [ full author list (4) | owner history (1) ]
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See Also: Iwasawa decomposition

Other names:  matrix decomposition
Also defines:  factor matrix
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Cross-references: diagonalizable, normal matrices, commuting matrices, diagonalize, calculate, Iwasawa decomposition, Jordan canonical form, polar decomposition, positive definite, Cholesky decomposition, diagonal matrix, singular value decomposition, right triangular, orthogonal, QR-decomposition, upper triangular, lower triangular, LU-decomposition, number, matrix, product
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This is version 7 of matrix factorization, born on 2004-03-12, modified 2007-06-16.
Object id is 5699, canonical name is MatrixFactorization.
Accessed 23714 times total.

Classification:
AMS MSC15A23 (Linear and multilinear algebra; matrix theory :: Factorization of matrices)

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Matrix Factorization by perucho on 2004-03-13 01:10:42

Dear Mr. Akrowne,
I think that in your entry you must be to include the polar representation, i.e.,
let T be an nonsingular matrix(detT \neq 0). Then T admits the unique representations
T=RU=VR,
also referred to as right and left decompositions of T, respectively, where U and V are positive symmetric matrices, and R is an orthogonal matrix. This fact is important in Continuum Mechanics.
Regards,
Pedro

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