The calculation of guaranteed bounds for eigenvalues using complementary variational principles
From MaRDI portal
Publication:1179537
DOI10.1007/BF02242019zbMath0753.65032OpenAlexW1497910784MaRDI QIDQ1179537
Publication date: 26 June 1992
Published in: Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02242019
numerical resultsinterval matricescomplementary variational principlesguaranteed bounds for eigenvalues
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Interval and finite arithmetic (65G30)
Related Items (22)
Verified Error Bounds for All Eigenvalues and Eigenvectors of a Matrix ⋮ Fast enclosure for all eigenvalues in generalized eigenvalue problems ⋮ A numerically rigorous proof of curve veering in an eigenvalue problem for differential equations ⋮ Rigorous Numerical Enclosures for Positive Solutions of Lane–Emden’s Equation with Sub-Square Exponents ⋮ Fully computable a posteriori error bounds for eigenfunctions ⋮ Eigenwertschranken für das Problem der frei schwingenden rechteckigen Platte und Untersuchungen zum Ausweichphänomen ⋮ Verified eigenvalue and eigenvector computations using complex moments and the Rayleigh-Ritz procedure for generalized Hermitian eigenvalue problems ⋮ Explicit bound for quadratic Lagrange interpolation constant on triangular finite elements ⋮ Unnamed Item ⋮ Guaranteed high-precision estimation for \(P_0\) interpolation constants on triangular finite elements ⋮ A framework of verified eigenvalue bounds for self-adjoint differential operators ⋮ Bounds for eigenvalues of parameter-dependent matrices ⋮ Verified norm estimation for the inverse of linear elliptic operators using eigenvalue evaluation ⋮ High-Precision Eigenvalue Bound for the Laplacian with Singularities ⋮ Determining the range of real eigenvalues for the interval generalized eigenvalue problem ⋮ Verified partial eigenvalue computations using contour integrals for Hermitian generalized eigenproblems ⋮ Explicit eigenvalue bounds of differential operators defined by symmetric positive semi-definite bilinear forms ⋮ Numerical verification for asymmetric solutions of the Hénon equation on bounded domains ⋮ Guaranteed Eigenvalue Bounds for the Steklov Eigenvalue Problem ⋮ Numerical enclosure for each eigenvalue in generalized eigenvalue problem ⋮ Optimal estimation for the Fujino-Morley interpolation error constants ⋮ Outer interval solution of the eigenvalue problem under general form parametric dependencies
Cites Work
- Decomposition of a symmetric matrix
- The defect correction principle and discretization methods
- Abschätzungen bei Variationsmethoden mit Hilfe von Dualitätssätzen. I
- Improving the Accuracy of Computed Eigenvalues and Eigenvectors
- Eine Theorie der Gleichungssysteme mit Intervall‐Koeffizienten
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: The calculation of guaranteed bounds for eigenvalues using complementary variational principles