Exact(45)
An algorithmic procedure is presented to solve the proposed optimal decomposition problem.
The Kalman decomposition problem for Boolean control networks (BCNs) is solved completely.
We defined the query decomposition problem with fragment replication (QDP-FR).
The algorithm discretizes the real-value mass decomposition problem into an integer-value knapsack problem [58].
For the dual decomposition problem (14), the optimal Lagrangian multipliers must satisfy the KKT condition.
Then the similar modes are combined according to the similarity of their envelopes to solve the over decomposition problem.
Similar(15)
The interpretation of multiscale methods as vertex based domain decomposition methods, which are non-scalable for 3D domain decomposition problems, allows us to understand this loss of performance.
In "Preparations", we will remind the readers of basic definitions of the generalized singular-value decomposition problems and their elementary properties.
Furthermore, localization phenomena are understood as micro-structure development associated with a non-convex incremental stress potential in analogy to phase decomposition problems in elasticity.
Moreover, the ideas from the hybrid HR are used to develop a hybrid tridiagonal reduction algorithm (for symmetric eigenvalue problems) and a bidiagonal reduction algorithm (for singular value decomposition problems).
Quickliming (application of CaO) was tested as structure amelioration method in order to improve aeration properties in grave soils and thereby prevent decomposition problems due to an insufficient oxygen supply in the burial environment.
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