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Showing 1 to 5 of 5 for “"Matrix splitting"”.
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Linear and nonlinear semidefinite relaxations of some NP-hard problems
… of Quadratic Assignment Problem (QAP) based on matrix splitting. We characterize an optimal subset of all valid matrix splittings and propose a method to find them by solving a tractable auxiliary problem. A new matrix splitting scheme called sum-matrix splitting is also proposed and its …
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ADMM Based Methods for Time-Domain Decomposition Formulations of Optimal Control Problems
… to be kept in memory globally. Different TDD splittings lead to different ADMM variants. ADMM convergence analyses are derived from a matrix-splitting view and from the equivalence to the Douglas-Rachford algorithm applied to the dual problem, and are applied to these different variants. The …
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A characterization of the fracture behavior of thick, notched, laminated graphite/epoxy composites
… from the adjacent +45° plies and failed by matrix splitting parallel to the fibers. The surface 0° plies failed by broken fibers along a +45° line in association with matrix splitting parallel to the fibers in the +45° plies. The thick [0/±45]<sub>ns</sub> laminates exhibited a surface …
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Distributed Newton-type algorithms for network resource allocation
… implementation requires computation intensive matrix inversion operations, which couple information across the network, hence cannot be implemented in a decentralized way. This thesis develops and analyzes Newton-type (second-order) distributed methods for network resource allocation problems. …
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Numerical simulation of microwave heating of a target with temperature dependent electrical properties in a single-mode cavity
… by this finite-difference approximation has a matrix that is large and non-Hermitian. However, we find that it may be splitted into the sum of a real symmetric matrix and a relatively low-rank matrix. The symmetric system represents the discretization of Helmholtz equation inside an empty and …