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Spectral Radius (spectral + radius)

Distribution by Scientific Domains
Engineering75%

Selected Abstracts

Numerical analysis of the rectangular domain decomposition method

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING, Issue 7 2009
Younbae Jun
Abstract When solving parabolic partial differential equations using finite difference non-overlapping domain decomposition methods, one often uses the stripwise decomposition of spatial domain and it can be extended to the rectangular decomposition without further analysis. In this paper, we analyze the rectangular decomposition when the modified implicit prediction (MIP) algorithm is used. We show that the performance of the rectangular decomposition and the stripwise decomposition is different. We compare spectral radius, maximum error, efficiency, and total operations of the rectangular and the stripwise decompositions. We investigate the accuracy of the interface of the rectangular decomposition and the effects of the correction phase of the rectangular decomposition. Numerical experiments have been done in both two and three spatial dimensions and show that the rectangular decomposition is not better than the stripwise decomposition. Copyright © 2008 John Wiley & Sons, Ltd. [source]

Optimal time integration parameters for elastodynamic contact problems

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING, Issue 6 2001
A. Czekanski
Abstract In this paper, we employ the generalized- , time integration scheme for treating elastodynamic contact problems. The criteria invoked for the selection of the four time integration parameters are motivated by our desire to ensure that the solution is unconditionally stable, second-order accurate, provides optimal high-frequency dissipation and preserves the energy and momentum transfer in dynamic rigid impact problems. New closed-form expressions for the time integration parameters are determined in terms of user-specified high-frequency spectral radius. The selected parameters help in avoiding the spurious high-frequency modes, which are present in the traditional Newmark method. Copyright © 2001 John Wiley & Sons, Ltd. [source]

Two characterizations of matrices with the Perron,Frobenius property

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, Issue 11-12 2009
Abed Elhashash
Abstract Two characterizations of general matrices for which the spectral radius is an eigenvalue and the corresponding eigenvector is either positive or nonnegative are presented. One is a full characterization in terms of the sign of the entries of the spectral projector. In another case, different necessary and sufficient conditions are presented that relate to the classes of the matrix. These characterizations generalize well-known results for nonnegative matrices. Copyright © 2009 John Wiley & Sons, Ltd. [source]

Optimal stabilizing controllers for linear discrete-time stochastic systems

OPTIMAL CONTROL APPLICATIONS AND METHODS, Issue 3 2008
Jun-E Feng
Abstract The relationship between the spectral radius and the decay rate for discrete stochastic systems is investigated. Several equivalent conditions are obtained, which guarantee a specified decay rate of the closed-loop systems. Based on the relationship, this paper provides a design method for state feedback controllers, which ensure that the closed-loop systems converge as fast as possible. Finally, a numerical example is used to illustrate the developed method. Copyright © 2007 John Wiley & Sons, Ltd. [source]