Monotone convergence of Newton-like methods for \(M\)-matrix algebraic Riccati equations
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Publication:372853
DOI10.1007/s11075-012-9666-7zbMath1273.65060OpenAlexW2036870544MaRDI QIDQ372853
Publication date: 21 October 2013
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-012-9666-7
algebraic Riccati equationNewton-like methodmonotone convergenceM-matrixminimal nonnegative solutionChebyshev's method
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Cites Work
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- Accurate fourteenth-order methods for solving nonlinear equations
- Transforming algebraic Riccati equations into unilateral quadratic matrix equations
- Recurrence relations for rational cubic methods. II: The Chebyshev method
- On the solution of algebraic Riccati equations arising in fluid queues
- Fluid models in queueing theory and Wiener-Hopf factorization of Markov chains
- A note on the minimal nonnegative solution of a nonsymmetric algebraic Riccati equation
- Existence of algebraic matrix Riccati equations arising in transport theory
- Accurate solutions of \(M\)-matrix algebraic Riccati equations
- Efficient methods for solving a nonsymmetric algebraic Riccati equation arising in stochastic fluid models
- A structure-preserving doubling algorithm for nonsymmetric algebraic Riccati equation
- On the Iterative Solution of a Class of Nonsymmetric Algebraic Riccati Equations
- Nonsymmetric Algebraic Riccati Equations and Wiener--Hopf Factorization for M-Matrices
- On inexact Newton methods based on doubling iteration scheme for non-symmetric algebraic Riccati equations
- Alternating-directional Doubling Algorithm for M-Matrix Algebraic Riccati Equations
- A subspace shift technique for nonsymmetric algebraic Riccati equations associated with an M-matrix
- Numerical Solution of Algebraic Riccati Equations
- On the Doubling Algorithm for a (Shifted) Nonsymmetric Algebraic Riccati Equation
- Convergence Analysis of the Doubling Algorithm for Several Nonlinear Matrix Equations in the Critical Case
- Convergence analysis of the Newton-Shamanskii method for a nonsymmetric algebraic Riccati equation
- Alternately linearized implicit iteration methods for the minimal nonnegative solutions of the nonsymmetric algebraic Riccati equations
- A Hessenberg-Schur method for the problem AX + XB= C
- Nonsymmetric Algebraic Riccati Equations and Hamiltonian-like Matrices
- A Shamanskii-Like Acceleration Scheme for Nonlinear Equations at Singular Roots
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
- Functions of Matrices
- Iterative Solution of a Nonsymmetric Algebraic Riccati Equation
- A new family of modified Ostrowski's methods with accelerated eighth order convergence
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