Analytic Perturbation Theory and Its Applications

DOI10.1137/1.9781611973143zbMath1296.47001OpenAlexW1532564654MaRDI QIDQ2871892

Konstantin E. Avrachenkov, Phil G. Howlett, Jerzy A. Filar

Publication date: 13 January 2014

Full work available at URL: https://semanticscholar.org/paper/106b31e8a3020c9c9820c3fb8da0e3269b88fc70

zbMATH Keywords

optimizationsingular perturbationMarkov chainseigenvalue problemMarkov decision processgeneralized inversesPuiseux seriesLaurent seriesmatrix inversionanalytic perturbation\(L^2\)-Sobolev spaces and Fourier analysisinfinite dimensional perturbationsperturbation of algebraic nonlinear systems

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Applications of operator theory in probability theory and statistics (47N30)

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