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Solar wind blows in at about six hundred kilometres per second, peeling chunks from the Martian atmosphere like you'd peel the skin from a tangerine, and if you're not paying attention, if you're performing a complicated matrix of computational chores or something, it can catch you unaware and really knock you back on your treads.
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Reduced rigidity matrix characterizes the response of computational nodes to the applied load.
Of course we should consider that due to matrix inversion, computational complexity of Dogleg method is O(K 3) while computational complexity of alternative minimization and Cauchy point is O(K 2).
Parameter n is equal to the dimension of matrix A. The computational complexity of the linear and non-linear models depends on the size of matrix A, which is m × m (i.e. ridge regression BLUP) or n × n (i.e. GBLUP) for the linear models and n × n for the non-linear models implemented in our study, which means that the complexities are either o(m) or o(n).
Simulation work demonstrated that their method outperformed the Jacobian matrix-based methods in terms of computational efficacy.
It has the modeling flexibility, low order of system matrix, high computational efficiency, and is efficient for general CMS.
Since only a small number of eigenvalues of the open-loop quadratic pencil are computable using the state-of-the-art matrix computational techniques and/or measurable in a vibration laboratory, it is imperative that the problem is solved using these small number of eigenvalues and the corresponding eigenvectors.
Since PCA can maximally retain the useful information of the weight matrix, the computational scale can be effectively reduced almost without degrading the qualities of the reconstructed images.
A QR decomposition was performed on the design matrix of each marker interval for computational efficiency as has been described previously (Huang et al. 2009).
Moreover, there is no need to format already well-formalized data structures into RDF, such as the various uses of matrices in computational chemistry as RDF triples.
We remark that the NLS, MUSIC and optimal filtering methods under consideration here are comparable in terms of computational efficiency as they all have cubic complexity, involving either inverses of matrices, matrix-matrix products or eigenvalue decompositions of matrices.
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