Eigenvalues of several tridiagonal matrices.
Yueh, Wen-Chyuan (2005)
Applied Mathematics E-Notes [electronic only]
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Displaying similar documents to “On the distance spectrum of a cycle”
Eigenvalues of several tridiagonal matrices.
Absolutely convergent expansions associated with a boundary-value problem with the eigenvalue parameter contained in one boundary condition
S. D. Wray (1982)
Czechoslovak Mathematical Journal
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On some orthogonal systems of functions
A. C. Zaanen (1940)
Compositio Mathematica
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Necessary and sufficient conditions for a system of eigenfunctions and associated functions of a Sturm-Liouville operator with discontinuous coefficients to possess the basis property.
Lažetić, Nebojša L. (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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Riesz basis generation, eigenvalues distribution, and exponential stability for a Euler-Bernoulli beam with joint feedback control.
Bao-Zhu Guo, K. Y. Chan (2001)
Revista Matemática Complutense
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Using an abstract result on Riesz basis generation for discrete operators in general Hilbert spaces, we show, in this article, that the generalized eigenfunctions of an Euler-Bernoulli beam equation with joint linear feedback control form a Riesz basis for the state space. The spectrum-determined growth condition is hence obtained. Meanwhile, the exponential stability as well as the asymptotic expansion of eigenvalues are also readily obtained by a straightforward computation. ...
Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle
Milan Práger (1998)
Applications of Mathematics
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A boundary value problem for the Laplace equation with Dirichlet and Neumann boundary conditions on an equilateral triangle is transformed to a problem of the same type on a rectangle. This enables us to use, e.g., the cyclic reduction method for computing the numerical solution of the problem. By the same transformation, explicit formulae for all eigenvalues and all eigenfunctions of the corresponding operator are obtained.