Definition of Orthonormalization. Meaning of Orthonormalization. Synonyms of Orthonormalization

Here you will find one or more explanations in English for the word Orthonormalization. Also in the bottom left of the page several parts of wikipedia pages related to the word Orthonormalization and, of course, Orthonormalization synonyms and on the right images related to the word Orthonormalization.

Definition of Orthonormalization

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Meaning of Orthonormalization from wikipedia

- \mathbf {e} _{1},\ldots ,\mathbf {e} _{k}} is known as Gram–Schmidt orthonormalization. To check that these formulas yield an orthogonal sequence, first...
- vectors, then we normalize each vector and the procedure is called orthonormalization. Orthogonalization is also possible with respect to any symmetric...
- spectrum for a smooth dynamical system relies on periodic Gram–Schmidt orthonormalization of the Lyapunov vectors to avoid a misalignment of all the vectors...
- The vector projection is an important operation in the Gram–Schmidt orthonormalization of vector space bases. It is also used in the separating axis theorem...
- the eigenspace ****ociated with an eigenvalue Gram–Schmidt process – Orthonormalization of a set of vectors Irregular matrix Matrix calculus – Specialized...
- This is a table of orthonormalized spherical harmonics that employ the Condon-Shortley phase up to degree ℓ = 10 {\displaystyle \ell =10} . Some of these...
- system is obtained from the Faber–Schauder system by the Gram–Schmidt orthonormalization procedure. Since the Franklin system has the same linear span as that...
- = ⟨ei|ψ⟩* and ⟨ei|φ⟩ of those vectors with respect to a specific (orthonormalized) basis. In this case, it is particularly useful to insert the unit...
- justified rigorously by basic Hilbert space theory. For the case of orthonormalized harmonics, this gives: f ℓ m = ∫ Ω f ( θ , φ ) Y ℓ m ∗ ( θ , φ ) d...
- (\lambda _{i},v_{i})} is the i {\displaystyle i} -th eigenpair after orthonormalization and y i = v i ∗ x {\displaystyle y_{i}=v_{i}^{*}x} is the i {\displaystyle...