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QEST
2006
IEEE
14 years 1 months ago
Exploring correctness and accuracy of solutions to matrix polynomial equations in queues
Spectral expansion and matrix analytic methods are important solution mechanisms for matrix polynomial equations. These equations are encountered in the steady-state analysis of M...
David Thornley, Harf Zatschler
CDC
2008
IEEE
14 years 2 months ago
Strong solutions and maximal solutions of generalized algebraic Riccati equations
— In this paper, we present a comparison theorem for the solutions of two generalized algebraic Riccati equations (GAREs) coming from two different systems. We show that the so-c...
Xin Xin
MOC
2002
83views more  MOC 2002»
13 years 7 months ago
A posteriori error estimates for general numerical methods for Hamilton-Jacobi equations. Part I: The steady state case
A new upper bound is provided for the L-norm of the difference between the viscosity solution of a model steady state Hamilton-Jacobi equation, u, and any given approximation, v. T...
Samuel Albert, Bernardo Cockburn, Donald A. French...
NA
2010
124views more  NA 2010»
13 years 2 months ago
An efficient unified approach for the numerical solution of delay differential equations
In this paper we propose a new framework for designing a delay differential equation (DDE) solver which works with any supplied initial value problem (IVP) solver that is based on...
Hossein ZivariPiran, Wayne H. Enright