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Aniekan Ebiefung 《Mathematical Programming》1995,69(1-3):255-268
We show that the Cottle—Dantzig generalized linear complementarity problem (GLCP) is equivalent to a nonlinear complementarity problem (NLCP), a piecewise linear system of equations (PLS), a multiple objective programming problem (MOP), and a variational inequalities problem (VIP). On the basis of these equivalences, we provide an algorithm for solving problem GLCP.Project partially supported by a grant from Oak Ridge Associated Universities, TN, USA. 相似文献
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Aniekan Magnus Ukpong 《Molecular physics》2013,111(12):1607-1618
A tight-binding molecular dynamics study of the structural evolution in tetrahedral amorphous carbon networks under dynamic hydrogen saturation is presented. The incorporation of hydrogen results in higher degrees of network disorder in second-neighbour distances, and initiates orbital re-hybridization that relaxes network stress. Using the simulated structures, numerical tests are performed to verify the effectiveness of a new structural order parameter for tetrahedrally-bonded solids. It is found that the island of accessible information, within the order parameter field shows a linear dependence between the fluctuations in first- and second-nearest-neighbour distances at a preferred orientation of 36°. A comparison with similar studies on hydrogenated amorphous silicon suggests that the local network structure of tetrahedrally-bonded amorphous solids obey the same ordering rule irrespective of differences in chemical species. 相似文献
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A model that selects and produces products at an equilibrium point in multi-unit manufacturing systems is presented. It enables each business subsystem in the company to select and produce products so that the whole organization meets both internal and external demands at minimum inventory cost. Unlike previously proposed models, this model does not place any restrictions on the number of products or services that each business subsystem can provide. Proofs are provided to show existence of solutions and solvability, and a numerical example is given to demonstrate the utility of the model. 相似文献
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Aniekan Ebiefung 《Journal of Mathematical Analysis and Applications》2007,329(2):1421-1429
We provide conditions under which a vertical block matrix is a Q-matrix if one or all representative sub-matrices are Q-matrices and vice versa. It is also shown, by means of counterexamples, that Eq. (3) of [A.A. Ebiefung, Existence theory and Q-matrix characterization for the generalized linear complementarity problem, Linear Algebra Appl. 223/224 (1995) 155-169] is incorrect. 相似文献
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Existence of solutions to the Generalized Linear Complementarity Problem (GLCP) is characterized when the associated matrix is a vertical blockZ-matrix. It is shown that if solutions exist, then one must be the leastelement of the feasible region. Moreover, the vertical block Z-matrixbelongs to the class of matrices where feasibility implies existence of asolution to the GLCP. The concept of sufficient matrices of class Z isinvestigated to obtain additional properties of the solution set. 相似文献
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Aniekan Magnus Ukpong 《Molecular physics》2013,111(16):1655-1665
The two-component density functional theory is applied to the study of the thermalized positron state in simulated structures of hydrogenated amorphous silicon. Results show that positron properties in bulk and ad hoc defect structures are sensitive to the defect free-volume. Using the normalized positron density, it is determined that the thermalized positron state is weakly localized at hydrogen-decorated vacancy-like complexes, and not at microscopic open volume defects. These defect complexes form as clusters of hydrogen-passivated dangling bonds. It is also found that hydrogen enhances the delocalization of positron density in the simulated structures. The relevance of the present results to the interpretation of actual positron lifetime spectroscopy in real materials is discussed. 相似文献
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Aniekan Magnus Ukpong 《Molecular physics》2013,111(23-24):2521-2530
Tight-binding molecular dynamics simulations have been performed to investigate the effect of quenching rate of the Si melt on the resulting local structure of amorphous silicon. Different quenching rates were used to cool liquid silicon in the simulations to demonstrate that the choice of quenching rates significantly influences the resulting local structure. The calculated pair correlation functions show that the local structure is sensitive to the thermal processing of the liquid silicon melt. The use of cooling rates higher than 10?13 K s?1 appears to prevent the activation of the required structural re-arrangements necessary to stabilise the networks, causing unexpected bonding geometries to develop. The electronic signatures of the defects show that only the triangular defect structure contributes resonance states to the conduction band tail. Also, the vibrational signature of the triangular structure shows a high energy transverse optical mode at 95 meV, indicating that the defect is likely to be unstable at 300 K, although both defects contribute minimal states to the mid-gap level. 相似文献
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Weerasena Lakmali Ebiefung Aniekan Skjellum Anthony 《Computational Optimization and Applications》2022,82(3):717-751
Computational Optimization and Applications - Set covering optimization problems (SCPs) are important and of broad interest because of their extensive applications in the real world. This study... 相似文献
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The Leontief input-output model is generalized and formulated as a generalized linear complementarity problem. Conditions for existence of solutions are given, and solution techniques are reviewed. An application of the model to choosing new technologies is suggested. 相似文献
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Dr. Claire N. Brodie Aniekan E. Owen Julian S. Kolb Prof. Dr. Michael Bühl Dr. Amit Kumar 《Angewandte Chemie (International ed. in English)》2023,62(29):e202306655
Polyethyleneimines find many applications in products such as detergents, adhesives, cosmetics, and for processes such as tissue culture, gene therapy, and CO2 capture. The current state-of-the-art technology for the production of the branched polyethyleneimines involves aziridine feedstock which is a highly toxic, volatile and mutagenic chemical and raises significant concern to human health and environment. We report here a novel method for the synthesis of branched polyethyleneimine derivative from ethylene glycol and ethylenediamine which are much safer, environmentally benign, commercially available and potentially renewable feedstock. The polymerisation reaction is catalysed by a complex of an earth-abundant metal, manganese and liberates H2O as the only by-product. Our mechanistic studies using a combination of DFT computation and experiment suggest that the reaction proceeds by the formation and subsequent hydrogenation of imine intermediates. 相似文献
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