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Learn advanced techniques for solving recursions containing multiple recursive terms in this conference presentation delivered at the 12th International Conference on Matrix-Analytic Methods in Stochastic Models. Explore the mathematical foundations and analytical approaches used to handle complex recursive relationships that involve several recursive components, examining how these structures arise in stochastic modeling contexts. Discover the theoretical framework for analyzing such recursions and understand their applications in matrix-analytic methods. Gain insights into the computational challenges and solution strategies when dealing with multi-term recursive equations, including convergence properties and stability analysis. Study practical examples that demonstrate how these recursive structures appear in queueing theory, reliability analysis, and other stochastic systems. Master the mathematical tools and techniques necessary for decomposing and solving recursions with multiple recursive terms, and understand their role in advancing matrix-analytic methodologies for stochastic model analysis.
Syllabus
Recursions with multiple recursive terms
Taught by
Fields Institute