Gram determinant

Gram determinant

[′gram di′tərm·ə·nənt]
(mathematics)
The Gram determinant of vectorsv1, …,vn from an inner product space is the determinant of the n × n matrix with the inner product ofvi andvj as entry in the i th column and j th row; its vanishing is a necessary and sufficient condition for linear dependence.
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References in periodicals archive ?
The Gram determinant [2] (composed from pairwise scalar products of the current and voltage IV vectors) equals to square of the vectorial IP (8)
The Gram determinant at each moment of time quadratically complements the scalar IP to the total (apparent) IP (6)
k] [member of] RI is given by the associated Gram determinant.
k+1] [member of] K is chosen so that the Gram determinant,
and hence the Gram determinant is maximized at x = 0 and [x.
Then the absolute value of the Gram determinant of {[[eta].
This determinant and its generalization are called Gram determinants.
using Wilson's result [16] on the Gram determinants for the Askey-Wilson polynomials.