Low-rank solution of data-sparse Lyapunov equations with application in model reduction

The nonsymmetric Lanczos method has recently received signiicant attention as a model reduction technique for large-scale systems. Unfortunately, the Lanczos method may produce an unstable partial realization for a given, stable system. To remedy this situation, inexpensive implicit restarts are developed which can be employed to stabilize the Lanczos generated model.

Symbolic Model Order Reduction (SMOR) is the problem of reducing a large circuit that contains symbolic circuit parameters to smaller low order models at its ports. Several methods, including symbol isolation, single frequency point reduction, and multiple frequency point reduction, are described and compared. Test circuits with simulation results are presented to demonstrate the accuracy and e...

This chapter presents an overview of Model Order Reduction – a new paradigm in the field of simulationbased engineering sciences, and one that can tackle the challenges and leverage the opportunities of modern ICT technologies. Despite the impressive progress attained by simulation capabilities and techniques, a number of challenging problems remain intractable. These problems are of different ...

In Part II of this paper we present some elementary examples of distributed parameter system model reduction using the techniques described in Part I. In particular, we focus on using the Karhunen-Loeve expansion and Galerkin's method to formulated reduced order models for a heat diiusion system and temperature eld dynamics in a Rapid Thermal Chemical Vapor Deposition reactor. Simulation result...

in this paper, the study deals with the lead time and setup reduction problem in the vendor-purchaser integrated inventory model. the cost of capital (i.e., opportunity cost) is one of the key factors in making the inventory and investment decisions. lead time is an important element in any inventory system. the proposed model is presents an integrated inventory model with controllable lead tim...