MATRIX CONTINUED FRACTIONS RELATED TO FIRST-ORDER LINEAR RECURRENCE SYSTEMS
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Summary
The notion of adjoint fraction is introduced which generalizes the notion of the adjoint of a recurrence relation of order n and applies for the numerical computation of a non-dominant solution.
- Type
- article
- Published
- 1996-01-01
- Cited by
- 13
- References
- 25
- OpenAlex
- https://openalex.org/W49439326
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:18854364
Keywords
Mathematics, Constant (computer programming), Fraction (chemistry), Order (exchange), Convergence (economics)
References
- Continued Fractions: Analytic Theory and Applications
- Computational Aspects of Three-Term Recurrence Relations
- Stable computation of solutions of unstable linear initial value recursions
- A mathematical analysis of Miller's algorithm
- Numerical solution of second-order linear difference equations
- The use of the sequence F n (z) = f n f 1 (z) in computing fixed points of continued fractions, products, and series
- A generalization of Poincare's theorem for recurrence equations
- Continued fractions with applications
- A generalization of a theorem of Pringsheim
- Pringsheim's theorem revisited
- A Pincherle Theorem for Matrix Continued Fractions
- Characterizations of dominant and dominated solutions of linear recursions
- Computational algorithms for linear difference equations
- Über Systeme von linearen Differenzengleichungen erster Ordnung.
- The Fokker-Planck equation : methods of solution and applications
- A unified approach to recurrence algorithms
- First-Order Linear Recurrence Systems and General N-Fractions
Cited by
- Asymptotics and Sequential Closures of Continued Fractions and Generalizations
- A matrix continued fraction algorithm for the multiserver repeated order queue
- Numerical solution of level dependent quasi-birth-and-death processes
- Full length article: A Pringsheim-type convergence criterion for continued fractions in Banach algebras
- On Multiserver retrial Queues: History, Okubo-Type hypergeometric Systems and Matrix Continued-fractions
- Inherent Numerical Instability in Computing Invariant Measures of Markov Chains
- Plasmon dispersion in a multilayer solid torus in terms of three-term vector recurrence relations and matrix continued fractions
- Continued Fractions and Generalizations with Many Limits: A Survey.
- Generalized continued fractions: a unified definition and a Pringsheim-type convergence criterion
- Computing Hitting Probabilities of Markov Chains: Structural Results with regard to the Solution Space of the Corresponding System of Equations
- Computation of Invariant Measures and Stationary Expectations for Markov Chains with Block-Band Transition Matrix
- Computation of solutions to linear difference and differential equations with a prescribed asymptotic behavior
- A Pincherle-Type Convergence Theorem for Generalized Continued Fractions in Banach Algebras
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