Computable Accurate Upper and Lower Error Bounds for Approximate Solutions of Linear Algebraic Systems
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Publication:4085181
DOI10.1145/355644.355648zbMath0322.65024OpenAlexW2084944325WikidataQ113767784 ScholiaQ113767784MaRDI QIDQ4085181
Robert E. Lynch, Thomas J. Aird
Publication date: 1975
Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1145/355644.355648
Formal languages and automata (68Q45) Iterative numerical methods for linear systems (65F10) Roundoff error (65G50) General topics in the theory of software (68N01) Algorithms in computer science (68W99)
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Some remarks on matrix norms, condition numbers, and error estimates for linear equations ⋮ A method for exact computation with rational numbers ⋮ Algebraic perturbation methods for the solution of singular linear systems ⋮ Methods for obtaining reliable solutions to systems of linear algebraic equations ⋮ A study of Auchmuty's error estimate ⋮ Isotropic distributions of test matrices
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