Error bounds for approximate solutions of systems of equations
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Publication:3687607
DOI10.1007/BF03167865zbMath0571.65035MaRDI QIDQ3687607
Publication date: 1984
Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)
Related Items (13)
Fast verified solutions of linear systems ⋮ Fast enclosure for solutions of Sylvester equations ⋮ Fast enclosure for solutions of generalized Sylvester equations ⋮ Verified eigenvalue and eigenvector computations using complex moments and the Rayleigh-Ritz procedure for generalized Hermitian eigenvalue problems ⋮ An existence and nonexistence theorem for solutions of nonlinear systems and its application to algebraic equations ⋮ Componentwise enclosure for solutions of least squares problems and underdetermined systems ⋮ Error bounds for computed eigenvalues and eigenvectors. II ⋮ An a posteriori verification method for generalized real-symmetric eigenvalue problems in large-scale electronic state calculations ⋮ Fast enclosure for solutions in underdetermined systems ⋮ Verified partial eigenvalue computations using contour integrals for Hermitian generalized eigenproblems ⋮ Iterative refinement for symmetric eigenvalue decomposition. II. Clustered eigenvalues ⋮ A posteriori componentwise error estimate for a computed solution of a system of linear equations ⋮ A unified derivation of several error bounds for Newton's process
Cites Work
- Das Iterationsverfahren bei allgemeinerem Abstandsbegriff
- Über das Newtonsche Verfahren
- Nichtlineare Majoranten beim Verfahren der schrittweisen Näherung
- A posteriori componentwise error estimate for a computed solution of a system of linear equations
- Error bounds for computed eigenvalues and eigenvectors
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