On inexact Newton methods based on doubling iteration scheme for non-symmetric algebraic Riccati equations
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Publication:2889389
DOI10.1002/nla.727zbMath1249.65093OpenAlexW2065635671MaRDI QIDQ2889389
Publication date: 7 June 2012
Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nla.727
numerical results\(M\)-matrixmonotone convergenceSylvester equationsNewton iteration methodnon-symmetric algebraic Riccati equationinexact iterationdoubling iteration schememinimal non-negative solution
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Uses Software
Cites Work
- A note on the minimal nonnegative solution of a nonsymmetric algebraic Riccati equation
- Existence of algebraic matrix Riccati equations arising in transport theory
- 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 the Doubling Algorithm for a (Shifted) Nonsymmetric Algebraic Riccati Equation
- Inexact Kleinman–Newton Method for Riccati Equations
- Newton iterations for a non‐symmetric algebraic Riccati equation
- Fast Iterative Schemes for Nonsymmetric Algebraic Riccati Equations Arising from Transport Theory
- Alternately linearized implicit iteration methods for the minimal nonnegative solutions of the nonsymmetric algebraic Riccati equations
- Local Convergence of Inexact Newton Methods
- A Hessenberg-Schur method for the problem AX + XB= C
- A Schur method for solving algebraic Riccati equations
- Inexact Newton Methods
- Optimal Alternating Direction Implicit Parameters for Nonsymmetric Systems of Linear Equations
- Second-order convergent algorithms for the steady-state Riccati equation†
- On Newton-Iterative Methods for the Solution of Systems of Nonlinear Equations
- Nonsymmetric Algebraic Riccati Equations and Hamiltonian-like Matrices
- Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
- Block Triangular and Skew-Hermitian Splitting Methods for Positive-Definite Linear Systems
- Iterative Solution of Nonlinear Equations in Several Variables
- Solution Form and Simple Iteration of a Nonsymmetric Algebraic Riccati Equation Arising in Transport Theory
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
- Iterative Solution of a Nonsymmetric Algebraic Riccati Equation
- Optimal Parameter in Hermitian and Skew-Hermitian Splitting Method for Certain Two-by-Two Block Matrices
- Some Applications of the Lyapunov Matrix Equation
- Matrix Equation $XA + BX = C$
- On a Matrix Riccati Equation of Stochastic Control
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