Consistent tangent matrices for substepping schemes

Numerical differentiation for non-trivial consistent tangent matrices: an application to the MRS-Lade model ⋆

In Reference [1] the authors have shown that numerical differentiation is a competitive alternative to analytical derivatives for the computation of consistent tangent matrices. Relatively simple models were treated in that reference. The approach is extended here to a complex model: the MRS-Lade model [2,3]. This plastic model has a cone-cap yield surface and exhibits strong coupling between t...

Consistent tangent operator for an exact Kirchhoff rod model

A method for approximating pairwise comparison matrices by consistent matrices

In several methods of multiattribute decision making, pairwise comparison matrices are applied to derive implicit weights for a given set of decision alternatives. A class of the approaches is based on the approximation of the pairwise comparison matrix by a consistent matrix. In the paper this approximation problem is considered in the least-squares sense. In general, the problem is nonconvex ...

VLSI-efficient schemes for high-speed construction of tangent graph

Tangent graph based data structure has been readily used in motion planning for mobile robots and robot manipulators. The complexity of the tangent graph grows exponentially as the robot’s configuration space increases in dimension. The ability to construct larger number of tangents at high-speed thus becomes crucial to facilitate dynamic motion planning where on-line avoidance is necessary. In...

Consistent Synchronization Schemes for Workload Replay

Oracle Database Replay has been recently introduced in Oracle 11g as a novel tool to test relational database systems [9]. It involves recording the workload running on the database server in a production system, and subsequently replaying it on the database server in a test system. A key feature of workload replay that enables realistic reproduction of a real workload is synchronization. It is...