Solving symmetric algebraic Riccati equations with high order iterative schemes

DOI10.1007/s00009-018-1092-1zbMath1392.65055OpenAlexW2792218665WikidataQ130187575 ScholiaQ130187575MaRDI QIDQ1635745

Natalia Romero, Miguel Ángel Hernández-Verón

Publication date: 1 June 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1092-1

zbMATH Keywords

local convergenceLyapunov equationsalgebraic Riccati equationshigh order iterative schemes

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Iterative numerical methods for linear systems (65F10) Linear equations (linear algebraic aspects) (15A06)

Related Items

An improvement of the Newton method for solving symmetric algebraic Riccati equations, On the semigroup property for some structured iterations

Uses Software

• Algorithm 432

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on Halley's method
• An extension of Gander's result for quadratic equations
• Catalan numbers, their generalization, and their uses
• A local convergence theorem for the super-Halley method in a Banach space
• Geometric constructions of iterative functions to solve nonlinear equations
• Solving algebraic Riccati equations on parallel computers using Newton's method with exact line search
• A modified Chebyshev's iterative method with at least sixth order of convergence
• A modification of Cauchy's method for quadratic equations
• On a characterization of some Newton-like methods of \(R\)-order at least three
• Solving a Quadratic Matrix Equation by Newton's Method with Exact Line Searches
• Newton-like methods under mild differentiability conditions with error analysis
• Computer control algorithms for a tubular ammonia reactor
• A family of Chebyshev-Halley type methods in Banach spaces
• Analysis and modificaton of Newton’s method for algebraic Riccati equations
• On a Newton-Like Method for Solving Algebraic Riccati Equations
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
• Chebyshev's approximation algorithms and applications