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 Übersetzung für 'Moore-Penrose' von Englisch nach Deutsch
math.
Moore-Penrose inverse
Moore-Penrose-Inverse {f}
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Übersetzung für 'Moore-Penrose' von Englisch nach Deutsch

Moore-Penrose inverse
Moore-Penrose-Inverse {f}math.
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  • Moore-Penrose-Inverse {f} = Moore-Penrose inverse
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Anwendungsbeispiele Englisch
  • Some of the properties of inverse matrices are shared by generalized inverses (for example, the MoorePenrose inverse), which can be defined for any "m"-by-"n" matrix.
  • The matrix ("X"T "X")–1 "X"T="Q" "X"T is called the MoorePenrose pseudoinverse matrix of X.
  • No rank deficient matrix has any (even one-sided) inverse. However, the MoorePenrose inverse exists for all matrices, and coincides with the left or right (or true) inverse when it exists.
  • Both MATLAB and GNU Octave natively support linear algebra operations such as matrix multiplication, matrix inversion, and the numerical solution of system of linear equations, even using the MoorePenrose pseudoinverse.
  • with its MoorePenrose inverse (pseudoinverse).

  • stands for the MoorePenrose pseudoinverse. This is just one of many ways to construct the projection operator.
  • is known as the MoorePenrose pseudoinverse of "X".
  • For the case where [...] is not invertible the MoorePenrose pseudoinverse should be used instead.
  • A whitening operator can be then defined from the factorization of the MoorePenrose inverse of the covariance operator, which has effective mapping on Karhunen–Loève type expansions of [...].
  • is a Moore-Penrose pseudoinverse. After this update [...] is renormalized to fit the constraints and the new sparse coding is obtained again.

  • If "H"11 is singular, we can still define the generalized Schur complement, using the MoorePenrose inverse [...] instead of [...].
  • One motivation for studying these semigroups is that they allow generalizing the MoorePenrose inverse's properties from [...] and [...] to more general sets.
  • In order to solve more general least-squares problems, one can define MoorePenrose inverses for all continuous linear operators [...] between two Hilbert spaces [...] and [...] , using the same four conditions as in our definition above.
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