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Recovery guarantees based on a extended restricted eigenvalue condition of the matrix Φ and bounds for the regularization parameters τ x and τ r are studied in [29].
Here, we explore conservation and management options in a framework for prioritizing landscapes based on two 'axes of concern': landscape conservation capacity attributes (percentage of protected area, connectivity, and condition of the matrix) and vulnerability to climate change (climate change velocity and topographic variation).
A higher rank of R ̃ - 1 is beneficial to the condition of the matrix A ̃ H R ̃ - 1 A ̃, which is in turn related to the trace of ( A ̃ H R ̃ - 1 A ̃ ) - 1. Following such a reasoning, it is not difficult to understand that increasing the number of receive antennas is beneficial to the performance just as increasing the number of pilots or decreasing the number of transmit antennas.
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Measurements were carried out for static and kinetic friction coefficients for steel as a function of the normal pressure for two surface roughness conditions of the matrix: ground and sand blasted.
Based on the condition number of the matrix, Local Conditioning Index (LCI) [13, 14] and Global Conditioning Index (GCI) [15] of the parallel manipulator are developed, which are originally proposed for the serial mechanism [16].
This is termed the condition number of the matrix, and the larger it is the more ill-conditioned is the problem.
is the condition number of the matrix with respect to the -norm.
Moreover, when computing the inverse, choosing a larger α can reduce the condition number of the matrix to be inverted.
In this section, the Wedin theorem [37] relating the condition number of the matrix being inverted to the sensitivity of the solution to perturbations is briefly reviewed.
For a fixed a, the condition number of the matrix in the linear system grows exponentially as the number of data points is increased [21].
One of our goals is to make the condition number of the matrix for the discrete system comparable with FEM by extrinsic XFEM.
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