Multi-level method in eigenvalue problem

Petr Vaněk

Displaying similar documents to “Multi-level method in eigenvalue problem”

Explicit conjugate gradient method with preconditioning

Jitka Křížková, Petr Vaněk (1994)

Applications of Mathematics

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An algorithm of the preconditioned conjugate gradient method in which the solution of an auxiliary system is replaced with multiplication by the matrix $M = I - ω A$ for suitably chosen $ω$ is presented.

Structure of Green's operators and estimates for the corresponding eigenvalues

Fichera, G.

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Method of Ritz for random eigenvalue problems

Martin Hála (1994)

Kybernetika

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Numerical results for the Metropolis algorithm.

Diaconis, Persi, Neuberger, J.W. (2004)

Experimental Mathematics

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Eigenvalue problems with indefinite weight

Andrzej Szulkin, Michel Willem (1999)

Studia Mathematica

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We consider the linear eigenvalue problem -Δu = λV(x)u, $u \in D_{0}^{1, 2} (Ω)$ , and its nonlinear generalization $- Δ_{p} u = λ V (x) {| u |}^{p - 2} u$ , $u \in D_{0}^{1, p} (Ω)$ . The set Ω need not be bounded, in particular, $Ω = ℝ^{N}$ is admitted. The weight function V may change sign and may have singular points. We show that there exists a sequence of eigenvalues $λ_{n} \to \infty$ .