orthogonal basis

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orthogonal basis

[ȯr′thäg·ən·əl ′bā·səs]
(mathematics)
A basis for an inner product space consisting of mutually orthogonal vectors.
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Our approximation is based on three prominent properties of PSWF: (i) Prolate Spheroidal Wave Functions of order zero comprise an orthonormal basis in [L.
More generally, the columns of [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] form an orthonormal basis for the deflating subspace of [lambda]N - M corresponding to the finite eigenvalues.
Let X be a Banach space with a projection orthonormal basis (ei).
It computes an orthonormal basis for a particular Krylov subspaces and solves the transforms least square problem with the upper Hessenberg matrix.
In this reduction technique, selected parts of FEM matrices are compressed one by one by projecting their relevant blocks onto a subspace spanned by an orthonormal basis, which is generated by the ENOR algorithm for one, arbitrarily chosen frequency.
Nevertheless we shall proceed with a short survey of those properties which are related to the fact that prolates form an orthonormal basis in a reproducing kernel space [5].
In order to grasp the main ideas behind a geometric analogue of HRR let us consider an orthonormal basis [b.
n=0] is the orthonormal basis for the subspace of the visible objects (i.