Homotopy method for the numerical solution of the eigenvalue problem of self-adjoint partial differential operators

DOI10.1007/BF02140775zbMath0836.65115OpenAlexW2006918424MaRDI QIDQ1904150

Yanyan Li

Publication date: 1 February 1996

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02140775

zbMATH Keywords

numerical exampleseigenfunctionsbifurcation pointsmallest eigenvaluesSchrödinger eigenvalue problemRayleigh quotient iterations

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

An efficient algorithm for the Schrödinger-Poisson eigenvalue problem ⋮ An adaptive homotopy approach for non-selfadjoint eigenvalue problems ⋮ Eigenvalue computation in the 20th century

Cites Work

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• Criteria for Combining Inverse and Rayleigh Quotient Iteration
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• Homotopy-Determinant Algorithm for Solving Nonsymmetric Eigenvalue Problems
• Solution of Sparse Indefinite Systems of Linear Equations
• Computation of the stationary distribution of a markov chain
• Homotopy Method for the Large, Sparse, Real Nonsymmetric Eigenvalue Problem
• An Algorithm for Symmetric Tridiagonal Eigenproblems: Divide and Conquer with Homotopy Continuation
• Parallel Homotopy Algorithm for the Symmetric Tridiagonal Eigenvalue Problem
• The method of conjugate gradients used in inverse iteration

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