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Error bounds for computed eigenvalues and eigenvectors

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Über das Newtonsche verfahren
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Das Iterationsverfahren bei allgemeinerem Abstandsbegriff
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Realistic error bounds for a simple eigenvalue and its associated eigenvector
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Nichtlineare Majoranten beim Verfahren der schrittweisen Näherung
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The solution of characteristic value-vector problems by Newton's method
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Functional Analysis and Numerical Mathematics
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Analysis of Numerical Methods
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Rigorous machine bounds for the eigensystem of a general complex matrix
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Rigorous Error Bounds for Computer Eigensystems
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A Unified Convergence Theory for a Class of Iterative Processes
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Iterative Solution of Nonlinear Equations in Several Variables
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Inverse Iteration, Ill-Conditioned Equations and Newton’s Method
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Analysis of Numerical Methods
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The Algebraic Eigenvalue Problem
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Functional Analysis and Numerical Mathematics
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Computational Solution of Nonlinear Operator Equations
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Iterative Solution of Nonlinear Equations in Several Variables
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Numerical Analysis, A Second Course
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Mathematical Methods for Digital Computers.
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Numerical Analysis: A Second Course.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Berechenbare Fehlerschranken für ein Eigenpaar unter Einschluß von Rundungsfehlern bei Verwendung des genauen Skalarprodukts
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Berechenbare Fehlerschranken für ein Eigenpaar beim verallgemeinerten Eigenwertproblem
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Fast Verification for Respective Eigenvalues of Symmetric Matrix
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Das modifizierte Newton-Verfahren in verallgemeinerten Banach-R�umen
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Componentwise inclusion and exclusion sets for solutions of quadratic equations in finite dimensional spaces
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Realistic error bounds for a simple eigenvalue and its associated eigenvector
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Error bounds for computed eigenvalues and eigenvectors. II
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The Symm-Wilkinson method for improving an approximate eigenvalue and its associated eigenvector
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Error bounds for approximate solutions of systems of equations
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Representations of the Symmetric Group are Decomposable in Polynomial Time
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Shilnikov Saddle-Focus Homoclinic Orbits from Numerics: Higher Dimensions
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Verified error bounds for eigenvalues of geometric multiplicity q and corresponding invariant subspaces
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Parallel scalability of a verified contour integral-based solver for generalized symmetric eigenvalue problems
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On estimating the condition of eigenvalues and eigenvectors
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A unified derivation of several error bounds for Newton's process
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An existence and nonexistence theorem for solutions of nonlinear systems and its application to algebraic equations
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Verified solutions of delay eigenvalue problems
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A method for separating nearly multiple eigenvalues for Hermitian matrix
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Improving the Accuracy of Computed Eigenvalues and Eigenvectors
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Residual Inverse Iteration for the Nonlinear Eigenvalue Problem
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Verified Error Bounds for All Eigenvalues and Eigenvectors of a Matrix
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