Browsing by Keywords "Linear equations"
Now showing items 1-6 of 6
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Characteristic equations for the lasing Modes of infinite periodic chain of quantum wires
(IEEE, 2008-06)In this paper, we study the lasing modes of a periodic open optical resonator. The resonator is an infinite chain of active circular cylindrical quantum wires standing in tree space. Characteristic equations for the ... -
Componentwise bounds for nearly completely decomposable Markov chains using stochastic comparison and reordering
(Elsevier, 2005)This paper presents an improved version of a componentwise bounding algorithm for the state probability vector of nearly completely decomposable Markov chains, and on an application it provides the first numerical results ... -
Computing moments of first passage times to a subset of states in Markov chains
(SIAM, 2005)This paper presents a relatively efficient and accurate method to compute the moments of first passage times to a subset of states in finite ergodic Markov chains. With the proposed method, the moment computation problem ... -
An exponential stability result for the wave equation
(Elsevier, 2002)We consider a system described by the one-dimensional linear wave equation in a bounded domain with appropriate boundary conditions. To stabilize this system, we propose a dynamic boundary controller applied at the free ... -
Iterative algorithms for solution of large sparse systems of linear equations on hypercubes
(IEEE, 1988)Finite-element discretization produces linear equations in the form Ax=b, where A is large, sparse, and banded with proper ordering of the variables x. The solution of such equations on distributed-memory message-passing ... -
Parallel preconditioners for solutions of dense linear systems with tens of millions of unknowns
(2007-11)We propose novel parallel preconditioning schemes for the iterative solution of integral equation methods. In particular, we try to improve convergence rate of the ill-conditioned linear systems formulated by the electric-field ...
