How long does Matrix Opti smooth last?
Answers from top 16 papers
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| Papers (16) | Insight |
|---|---|
| The results show that matrix complexity is not an outcome of program age, nor does matrix complexity at the time of implementation appear to influence program survival. | |
20 May 2018 | Compared to the state-of-the-art schemes, our scheme does not require the precondition that the original matrix should be invertible. |
| It does not require that the topography be highly smooth, a condition required in the curved finite difference method and the spectral method. | |
78 Citations | We describe the pronounced differences in the intensity enhancement and field distributions for the two systems, providing valuable information for the design and optimization of opti... |
16 Apr 2015 | In this paper we (i) propose an accurate method to compute minimum condition number scheme; and (ii) introduce determinant of the information matrix (DIM) as a new opti-mality metric that scales with number of measurements and does reflect what one would gain from acquiring more measurements. |
| That is, each ML provides a substantial improvement in time and convenience over the matrix generator/report writers of the last few decades. | |
42 Citations | The OPTI measure could be a useful research tool in such investigations. |
54 Citations | The OPTI-net is very effective in identifying optimal, or suboptimal, solutions even in search spaces up to /spl ap/10/sup 16/ for a fully connected network with 50 vertexes. |
| Most importantly, it offers second-order accuracy even on meshes that are not smooth, rigorously treats material discontinuities, and has a symmetric positive-definite coefficient matrix. | |
| To achieve opti-mal system parameters, strengths and weaknesses should be under the influence of dynamics. | |
| Comparison shows that Opti-DCN is significantly faster to converge to equal-density cartograms and can mathematically and practically eliminate topological errors. | |
01 Jul 2002 127 Citations | The algorithm is fast, as it does not involve any matrix decompositions in the iterations. |
01 Jan 2001 22 Citations | We propose a new one-step algorithm, based on non-smooth optimization theory, which disperses the eigenvalues of the matrix Z(b) providing sufficient distance between them. |
15 Sep 1996 21 Citations | Similarly to the SVD-based square-root filter, the proposed smoother has good numerical stability and does not require covariance matrix inversion. |
07 Dec 1999 23 Citations | It appears that the optimal trajectories for these problems need only be piecewise smooth with the smooth arcs being given in terms of a product of matrix exponentials. |
| As QR decomposition does not ensure continuity, but projective matrix does, convergence behaviour of the new method can be discussed under more reasonable assumptions. |
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