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The calculation of guaranteed bounds for eigenvalues using complementary variational principles
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Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/zamm.19500300101openalex-snapshot
Beiträge zur numerischen Lösung linearer Eigenwertprobleme.
inferredcites →https://doi.org/10.1002/zamm.19502911005openalex-snapshot
Beiträge zur numerischen Lösung linearer Eigenwertprobleme. I
inferredcites →https://doi.org/10.1002/zamm.19740540605openalex-snapshot
Eine Theorie der Gleichungssysteme mit Intervall‐Koeffizienten
inferredcites →https://doi.org/10.1002/zamm.19770571215openalex-snapshot
Alefeld, G. / Herzberger, J. , Einführung in die Intervallrechnung, Zürich. B. I.‐Wissenschaftsverlag. 1974. 398 S., DM 22,‐. (Reihe Informatik 12).
inferredcites →https://doi.org/10.1007/978-3-322-93091-0openalex-snapshot
Direkte Methoden der Variationsrechnung
inferredcites →https://doi.org/10.1007/978-3-322-96758-9openalex-snapshot
Methode der finiten Elemente
inferredcites →https://doi.org/10.1007/978-3-642-81413-6_4openalex-snapshot
Methode der Finiten Elemente
inferredcites →https://doi.org/10.1007/978-3-7091-6957-5_7openalex-snapshot
Inclusion of Eigenvalues of General Eigenvalue Problems for Matrices
inferredcites →https://doi.org/10.1007/bf01399088openalex-snapshot
Decomposition of a symmetric matrix
inferredcites →https://doi.org/10.1007/bf01432879openalex-snapshot
The defect correction principle and discretization methods
inferredcites →https://doi.org/10.1007/bf02165001openalex-snapshot
Abschätzungen bei Variationsmethoden mit Hilfe von Dualitätssätzen. II
inferredcites →https://doi.org/10.1007/bf02165309openalex-snapshot
Abschätzungen bei Variationsmethoden mit Hilfe von Dualitätssätzen. I
inferredcites →https://doi.org/10.1016/b978-0-12-428660-3.50010-0openalex-snapshot
SOLVING ALGEBRAIC PROBLEMS WITH HIGH ACCURACY
inferredcites →https://doi.org/10.1016/b978-0-12-708245-5.50012-9openalex-snapshot
The Determination of Guaranteed Bounds to Eigenvalues with the Use of Variational Methods I
inferredcites →https://doi.org/10.1016/b978-0-12-708245-5.50013-0openalex-snapshot
The Determination of Guaranteed Bounds to Eigenvalues with the Use of Variational Methods II
inferredcites →https://doi.org/10.1137/0720002openalex-snapshot
Improving the Accuracy of Computed Eigenvalues and Eigenvectors
inferredcites →https://doi.org/10.1137/1.9781611971163openalex-snapshot
The Symmetric Eigenvalue Problem
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/pamm.200700423openalex-snapshot
Verifying all eigenpairs in symmetric positive definite generalized eigenvalue problem
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Eigenwertschranken für das Problem der frei schwingenden rechteckigen Platte und Untersuchungen zum Ausweichphänomen
inferred← citeshttps://doi.org/10.1007/978-3-662-43799-5_23openalex-snapshot
High-Precision Eigenvalue Bound for the Laplacian with Singularities
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Bounds for Eigenvalues with the Use of Finite Elements
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Bounds for eigenvalues of parameter-dependent matrices
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Fully computable a posteriori error bounds for eigenfunctions
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The second Dirichlet eigenvalue is simple on every non-equilateral triangle, Part ii: Nearly equilateral triangles
inferred← citeshttps://doi.org/10.1007/s11155-006-4875-1openalex-snapshot
Outer Interval Solution of the Eigenvalue Problem under General Form Parametric Dependencies
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Guaranteed high-precision estimation for P 0 interpolation constants on triangular finite elements
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Verified norm estimation for the inverse of linear elliptic operators using eigenvalue evaluation
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Optimal estimation for the Fujino–Morley interpolation error constants
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Parallel scalability of a verified contour integral-based solver for generalized symmetric eigenvalue problems
inferred← citeshttps://doi.org/10.1016/j.amc.2015.03.048openalex-snapshot
A framework of verified eigenvalue bounds for self-adjoint differential operators
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Explicit bound for quadratic Lagrange interpolation constant on triangular finite elements
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Fast enclosure for all eigenvalues in generalized eigenvalue problems
inferred← citeshttps://doi.org/10.1016/j.cam.2011.12.013openalex-snapshot
Numerical enclosure for each eigenvalue in generalized eigenvalue problem
inferred← citeshttps://doi.org/10.1016/j.cam.2019.112543openalex-snapshot
Verified partial eigenvalue computations using contour integrals for Hermitian generalized eigenproblems
inferred← citeshttps://doi.org/10.1016/j.cam.2019.112666openalex-snapshot
Explicit eigenvalue bounds of differential operators defined by symmetric positive semi-definite bilinear forms
inferred← citeshttps://doi.org/10.1016/j.cam.2021.113708openalex-snapshot
Numerical verification for asymmetric solutions of the Hénon equation on bounded domains
inferred← citeshttps://doi.org/10.1016/j.cam.2022.114994openalex-snapshot
Verified eigenvalue and eigenvector computations using complex moments and the Rayleigh–Ritz procedure for generalized Hermitian eigenvalue problems
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Bibliography on Enclosure Methods and Related Topics
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Rigorous Numerical Enclosures for Positive Solutions of Lane–Emden’s Equation with Sub-Square Exponents
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Determining the range of real eigenvalues for the interval generalized eigenvalue problem
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Verified Eigenvalue Evaluation for the Laplacian over Polygonal Domains of Arbitrary Shape
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Fast Enclosure for All Eigenvalues and Invariant Subspaces in Generalized Eigenvalue Problems
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Guaranteed Eigenvalue Bounds for the Steklov Eigenvalue Problem
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Verified Error Bounds for All Eigenvalues and Eigenvectors of a Matrix
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Fast verification for the Perron pair of an irreducible nonnegative matrix
inferred← citeshttps://doi.org/10.4236/ajcm.2012.22016openalex-snapshot
One Approach to Construction of Bilateral Approximations Methods for Solution of Nonlinear Eigenvalue Problems
inferred← citeshttps://doi.org/10.9734/jamcs/2019/v31i630131openalex-snapshot
Methods of Bilateral Approximations for Nonlinear Eigenvalue Problems
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