Definition of Orthonormalization. Meaning of Orthonormalization. Synonyms of Orthonormalization

- \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...
- 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...
- 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...
- (\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...
- = ⟨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...