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On Dirichlet eigenvectors for neutral two-dimensional Markov chains
Hahn polynomials two-dimensional difference equation neutral Markov chain multitype population dynamics Dirichlet eigenvector Dirichlet eigenvalue quasi-stationary distribution Yaglom limit coexistence
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2015/7/7
We consider a general class of discrete, two-dimensional Markov chains modeling the dynamics of a population with two types, without mutation or immigration, and neutral in the sense that type has no ...
Matrices with Eigenvectors in a Given Subspace
Eigenvectors Kalman’s controllability condition determinantal varieties
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2011/1/18
The Kalman variety of a linear subspace in a vector space consists of all endomorphism that possess an eigenvector in that subspace. We study the defining polynomials and basic geometric invariants of...
DGMRES method augmented with eigenvectors for computing the Drazin-inverse solution of singular linear systems
Drazin-inverse DGMRES Krylov subspace Itera-tive method Eigenvector
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2010/12/10
The DGMRES method for solving Drazin-inverse solution of sin-gular linear systems is generally used with restarting. But the restarting often slows down the convergence and DGMRES often stagnates.
Eigenvectors of open XXZ and ASEP models for a class of non-diagonal boundary conditions
Eigenvectors open XXZ ASEP models non-diagonal boundary conditions
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2010/12/16
We present a generalization of the coordinate Bethe ansatz that allows us to solve integrable open XXZ and ASEP models with non-diagonal boundary matrices, provided their parameters obey some relation...
CONVERGENCE OF ALGORITHMS FOR FINDING EIGENVECTORS
Eigenvectors algorithms conv
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2007/12/11
In this paper we give a rigorous analysis of convergence of algorithms for finding eigenvectors of a real symmetric matrix. The algorithms are deterministic and our methods are very intuitive.