diagonal matrix


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diagonal matrix

[dī′ag·ən·əl ′mā·triks]
(mathematics)
A matrix whose nonzero entries all lie on the principal diagonal.
References in periodicals archive ?
where D is the diagonal matrix which is the same as that in conventional MACE filter, m is a column vector containing the mean values of the Fourier transform of the reference images.
in which the area between direct connected pores (Ad), the area of indirect connected pores (Ai) and the pore surface (SA_pore) are used (1/SA_pore is a diagonal matrix with the pore surfaces on its diagonal).
e] was selected to be a diagonal matrix of different weights on each state.
where diag(u) is the diagonal matrix of vector u, its main diagonal elements are the elements of vector u and all other elements are zeros.
50 98 125 144 (*) Performance ratio = Cost of VMC Solution/Cost of block diagonal matrix solution x 100
Such contragredient transformation brings the systems into a "balanced" form, which means that the controllability Gramian and observability Gramian of the system are equal to a diagonal matrix.
DELTA]] belongs to the set of generalized superstable matrices if there exists a diagonal matrix D = diag [parallel][d.
The following types of parallel manipulators (PMs) have been identified in the literature (Gogu, 2008): (i) maximally regular PMs if the Jacobean J is an identity matrix, (ii) fully-isotropic PMs, if the Jacobean J is a diagonal matrix with identical diagonal elements throughout the entire workspace, (iii) PMs with uncoupled motions if J is a diagonal matrix with different diagonal elements, (iv) PMs with decoupled motions, if J is a triangular matrix and (v) PMs with coupled motions if J is neither a triangular nor a diagonal matrix.
n]) the diagonal matrix with the elements of the main diagonal ([[lambda].
p]] are orthogonal matrices and the singular values in the diagonal matrix [summation] = diag([[sigma].
n]) be the n x n diagonal matrix of n indeterminates.
nm]] is the diagonal matrix of the maximal stresses on the "n" measuring channels of the sensor; [[N.