An acceleration technique for the Newton solution of quadratic equations

DOI10.1016/0898-1221(91)90151-SzbMath0762.65028OpenAlexW2063975702MaRDI QIDQ1192207

Stephen Demko, M. Reza Ebrahimpour, John F. Dorsey

Publication date: 27 September 1992

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(91)90151-s

zbMATH Keywords

convergence accelerationBanach spaceNewton methodinvariant manifoldbilinear operatorquadratic equationselectric power systemsquadratic operator equations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (1)

Calculating the square root with arbitrary order of convergence

Cites Work

• Convergence of the Newton process to multiple solutions
• Quadratic equations in Banach spaces
• On the Uniqueness of Solutions of Quadratic Equations

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