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As a result complete sets of matrices representing these tensors in each one of their anisotropic system are provided.
These operations involve projections on sets of matrices with specific structural and spectral properties; the projections are performed iteratively and both algorithms exhibit similar complexity.
To be more specific, we use a class of functions (called NC analytic functions) defined by power series in noncommuting variables and evaluate these functions on sets of matrices of all dimensions; we call such situations dimension-free.
Authors in [18] studied the local and global exponential synchronization of switched networks with time-varying coupling delays, whose inner and outer coupling matrices take values in two finite sets of matrices via a switching signal.
The embedding of the ring model of orientation in the structure tensor model can be explained by the intrinsic relation that exists between the two sets of matrices SPD ( 2, R ) and S + ( 1, 2 ).
Assume that the sequence { S K j n } of sets of matrices S K j n = { K j n 1, K j n 2, …, K j n J j n } contains at least a stabilizing matrix such that Theorem 3.2 ii) holds via stabilization with such stabilizing matrices.
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The unsaturated water flow and conservative (nonsorbing) tracer transport through the cross-section are simulated for different sets of matrix and fracture property fields.
Scores (S) were compared for individual TE-derived and non-repetitive TFBS along with the score distributions for simulated sets of matrix-random and genome-random sites.
We denote by the set of orthogonal real matrices and by the set of matrices in which have determinant 1.
These set of matrices are then solved by the standard matrix form, i.e., AX = B.
Figure 8 has a set of matrices representing this adjacency matrix.
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