Using the matrix pencil theory, we decompose it into five subsystems, whose solutions are obtained.
We decompose the sensing matrix by rows and have f T M 1 T M 2 T ⋯ M P T Ψ ¯ = vec ( U g ~ ) T (27).
If we decompose the evolution matrix into two parts, H = H0 + H1, the TOPE formula gives [ 55] where τ0 = t1, τ1 = t2 - t1 etc.
Also, we decompose the total variability matrix T = T 1 T, T 2 T, …, T C T T to its component matrices, one associated with each Gaussian.
With SVD, we decompose L into three matrices U, Σ and V : (9) L = U Σ V T, where U ∈ R n × n, V ∈ R n × n, and Σ ∈ R n × n is the diagonal singular value matrix.
Then we decomposed into its matrix square root: V = W 2 and premultiplied the linear models (1) (2) by W − 1 to remove genetic correlations (the standard EMMA methodology).
The equality of polynomial matrix and dft matrix decomposed matrices decompositions are guaranteed via the finite duration constraint, which is investigated in Section 4. The finite duration constraint imposes the phase angles of singular vector (eigenvector) to minimize a nonlinear quadratic function.
In our case, the matrices we want to decompose range from 44×44to80o 80 × 80 which are too small to obtain improvement.
One important feature of injury response in the MRL/MpJ mouse is increased activity of matrix metalloproteinases that decompose the extracellular matrix breaking the basal lamina, a layer that initially covers the wound surface.
