Stable symmetric secant methods with restart

DOI10.1007/BF01068319zbMath0757.65055OpenAlexW1995004767MaRDI QIDQ4007362

Oleg P. Burdakov

Publication date: 27 September 1992

Published in: Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01068319

zbMATH Keywords

algorithmstabilitysuperlinear convergencesecant methodssymmetric Jacobi matricesrestart procedure

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

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Cites Work

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• Combination of the sequential secant method and Broyden's method with projected updates
• The Secant method for simultaneous nonlinear equations
• Methods of the secant type for systems of equations with symmetric jacobian matrix
• Über die Realisierung und Konvergenz von Mehrschrittverfahren zur iterativen Lösung nichtlinearer Gleichungen
• Quasi-Newton Methods, Motivation and Theory
• A Stable Variant of the Secant Method for Solving Nonlinear Equations
• Three new algorithms based on the sequential secant method
• On Superlinear Convergence of Some Stable Variants of the Secant Method

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