Sentence examples for matrix inverse problem from inspiring English sources

In this way, the complex matrix inverse problem in (20) can be simplified to the matrix inverse in (21).

To analyze the influence of error amplification, its inherent FRF-matrix inverse problem is mathematically transformed into an over-determined set of linear algebraic equations.

The problem we need to solve to find a signature matrix is formulated as follows: Signature matrix inverse eigenvalue problem (SMIEP).

Note that the theorem given above is especially useful when solving the associated (matrix) inverse scattering problem using the approach given in [7] say, since it provides an explicit relationship between the norming constants c k and the constants d k in terms of the derivative of A.

The resulting Jacobian matrix for the inverse problem was down-sampled by a factor of 4 in each dimension, producing a matrix size of 46 × 33 × 65 and an isotropic voxel size of 0.72 mm.

It features an anatomically guided sampling method to retrospectively eliminate problematic data and a parallel Monte Carlo software package to compute the Jacobian matrix for the inverse problem.

Finally, the following matrix equation of the inverse problem is formed by assembling the sub matrix equations of all the projections as follows (6) ϕ = W X, where W = { W s} is the weight matrix mapping unknown distributions of the fluorescent markers inside the small animal onto the measured fluorescent data over the surface.

Finally, the dimension reduced matrix equation of the inverse problem is formed by assembling the dimension reduced sub matrix equations of all the projections as follows (16) Γ t = Ξ t X, where Γ t = { Γ s t } and Ξ t = { Ξ s t }.

The matrix coefficients of the linear inverse problem involve a volume integral of the product of the finite-frequency kernel with the basis functions that represent the linear interpolation.

In this paper, we study the inverse problem for the matrix Sturm-Liouville operator on the half-line by the Weyl matrix.

We mention that a related inverse problem for the matrix wave equation was investigated in [21].