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Titlebook: Numerical Treatment of Eigenvalue Problems Vol. 5 / Numerische Behandlung von Eigenwertaufgaben Band; Workshop in Oberwolf J. Albrecht,L. C

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Eigenwertaufgaben Mit Funktional-Differentialgleichungen, Eigenwertaufgaben mit Funktional-Differentialgleichungen; auf diese sollen im folgenden — neben dem Ritzschen Verfahren — Einschließungssätze angewendet werden, die zuerst von Temple und Collatz angegeben und später von Lehmann, Goerisch und anderen verallgemeinert worden sind.
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An Enclosure Method with Higher Order of Convergence-Applications to the Algebraic Eigenvalue Probl strictly monotone on an interval X.. Without loss of generality we may assume that f is strictly increasing on X.. We assume that by using interval arithmetic methods it is possible to compute two positive numbers ℓ., ℓ. such that 0 < ℓ. < f′(x) < ℓ. for all x ∈ X.. Let us denote by L the interval
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An Eigenvalue Problem of the theory of Arma Models and Multistep Iteration Procedures,o determine appropriate (n,n)-matrices A., B.. In order to guarantee that the n-vectors x. form a stationary time series, it is required that the polynomial matrix . has only singular values A with absolute values | λ | < 1. Sometimes it is also required that Σλ.B. has only singular values within th
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Oscillations and Stability of a Wheel Rolling on a Flexible Rail,ies the stability of the stationary motion of a rigid wheel rolling on a straight (uncorrugated) flexible rail. Starting from geometrically nonlinear equations of motion, a set of variational equations for oscillations about a simplified stationary solution is established. Its spectrum consists of a
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Rational Approximation for Calculation of Eigenvalues,f “quotient-inclusion”-theorems. These theorems permit for certain types of eigenvalue problems a rough inclusion sometimes of . eigenvalues. The paper shows the preparation for the numerical treatment and testing of examples.
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