Error bounds for computed eigenvalues and eigenvectors

DOI10.1007/BF01396059zbMath0411.65022OpenAlexW1975956496MaRDI QIDQ1259404

Tetsuro Yamamoto

Publication date: 1980

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132668

zbMATH Keywords

error estimatessystem of nonlinear equationsnumerical examplesiterative methodsalgebraic eigenvalue problems

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical computation of solutions to systems of equations (65H10)

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Cites Work

• Das Iterationsverfahren bei allgemeinerem Abstandsbegriff
• Über das Newtonsche Verfahren
• Nichtlineare Majoranten beim Verfahren der schrittweisen Näherung
• Rigorous Error Bounds for Computer Eigensystems
• Inverse Iteration, Ill-Conditioned Equations and Newton’s Method
• A Unified Convergence Theory for a Class of Iterative Processes
• Rigorous Machine Bounds for the Eigensystem of a General Complex Matrix
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