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For non-separable mass matrices, we present a preconditioned conjugate gradient method with carefully designed preconditioners as an alternative.
Second, given the relationship between nullities and matrices, we present two types of matrices to characterize this type of matroid and its nullity operator.
For mass matrices that can be expressed as tensor products of lower dimensional matrices, we present a direct method that has linear computational complexity, i.e., O(N), where N is the total number of degrees of freedom in the system.
For construction of these paths, employing the Hamiltonian circuit latin square (HCLS), a special class of (n × n) matrices, we present O(n2) parallel routing algorithm on circulant networks.
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In terms of a block variant of the restricted isometry property of measurement matrix, we present weaker sufficient conditions for exact and robust block-sparse signal recovery than those known for l 2/l 1 minimization.
Based on a general fact that the capsules are randomly dispersed in the matrix and the discrete cracks occur independently in matrix, we present the probability of capsules hit by the cracks to develop the theoretical solution on dosage of capsules for self-healing technology via embedded capsules in two- and three-dimensional self-healing system.
By using the relationship between orthogonal arrays and decompositions of projection matrices and projection matrix inequalities, we present a method for constructing a class of new orthogonal arrays which have higher percent saturations.
In addition, we address the issue of ill-conditioned sample matrices, and we present an analytical map to facilitate uniformly-distributed simplex sampling.
Therefore, by analyzing the coherence of matrix B, we present sufficient conditions at which the LCS signatures should satisfy.
After reviewing some rigorous understanding of SGF calculation from the perspective of ⊤-PQEP and nonlinear matrix equation, we present our new approach to this problem.
For sample covariance matrix estimation, we present a method that making the scalar d T X as the standard of selecting pixels to form a consisted and reproducible sample set.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com