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
(2008)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)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 ...
