orthogonal basis

(redirected from Orthonormal basis)
Also found in: Acronyms, Wikipedia.

orthogonal basis

[ȯr′thäg·ən·əl ′bā·səs]
(mathematics)
A basis for an inner product space consisting of mutually orthogonal vectors.
Mentioned in ?
References in periodicals archive ?
n]) be an absolute orthonormal basis for a Banach space X.
The application-specific orthonormal basis has been designed applying the N th order Gram-Schmidt process, called also standard N th order Gram-Schmidt orthogonalization process.
Since A is normal, there exists an orthonormal basis with respect to which the matrix of A is of the form
Define the orthonormal basis of local vector fields ([Y.
However, by defining a regular field c of unit vectors on the pseudo-Euclidean plane it is, indeed, possible to get such a privileged orthonormal basis (c, [c.
2) has a system of eigenfunctions that forms an orthonormal basis for an appropriate Hilbert space.
However, as outlined in [52, Section 4], an orthonormal basis of the Krylov subspace can still be generated with MINRES' short recurrences and the operator [P.
k=1] denotes an orthonormal basis of H and [([[delta].
n], n [greater than or equal to] 0} is an orthonormal basis for the Hilbert space [L.
The extended block Arnoldi process allows us to construct an orthonormal basis for the extended block Krylov subspace [[KAPPA].
For example, they form a complete orthonormal basis of [l.