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We choose two diagonal matrices of dimension (n = 1000).
where denotes the vector space of symmetric matrices of dimension.
(Notation) We denote the set of symmetrical and positively defined matrices of dimension n by S +(n).
Let and be two square matrices of dimension such that has all zero elements except for and (2.7).
Thus, we get a faithful representation of (mathcal {K}_{p, n}=wr _{k=1}^nC_p) by uni-triangular matrices of dimension (p^{n-1}+1).
From each of the above-defined matrices, unique block diagonal matrices of dimension are reproduced which contain the original matrix as one of the diagonal blocks of dimension.
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where JL and JN are the reversal matrices of dimensions (L × L) and (N × N), respectively.
where C(t i ), D(t i ), E(t i ), and F(t i ) are matrices of dimensions 2 × l, 2 × l, 2 × l', and 2 × l', respectively.
Let S and B be binary matrices of dimensions n× k and k× m, respectively.
Dimensionality reduction was performed on a FR matrix of dimension (units (n) × ∑t i), where n is the number of recorded units, and t i denotes the number of time points for the ith condition over time.
The energy dissipation associated with the mathematical model for this spacer can be expressed in the form of a symmetric matrix of dimension 16 × 16.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com