Titlebook: Numerical Treatment of Eigenvalue Problems Vol. 3 / Numerische Behandlung von Eigenwertaufgaben Band; Workshop in Oberwolf J. Albrecht,L. C

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Ueber Eigenwerte Symmetrischer Membranen,le monotonicity arguments. In the present case of symmetric domains, it is important to know their conformal radius (mapping radius) at the center of symmetry. For some symmetric domains there is an exact elementary ratio of the conformal radii. Also, some symmetric membranes have the same first eigenvalue.

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BROTH

International Series of Numerical Mathematicshttp://image.papertrans.cn/n/image/669241.jpg

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Optimum

Hartree-Fock Methods a Realization of Variational Methods in Computing Energy Levels in Atoms,In this paper the well known Hartree-Fock methods are interpreted as variational methods. Since good and reliable upper bounds for the lowest eigenvalue of the Schrödinger equation are very important, we discuss the different kinds of numerical errors during the computation and give some hints how to control them.

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An Inclusion Principle for Eigenvalues,A general inclusion principle for eigenvalues with special properties (e.g. belonging to nonnegative eigenvectors) is developed and compared with Collatz’s theorem.

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枯燥

An Elementary Proof of Monotony of the Temple Quotients,Monotony of the Temple quotients has been proved recently by F. Goerisch and J. Albrecht in their common work [1]. In the present paper, another proof — let us call it an elementary one — of this fact is presented.