Numerical solutions of quaternionic Riccati equations
From MaRDI portal
Publication:6138366
DOI10.1007/s12190-023-01848-wzbMath1522.65062MaRDI QIDQ6138366
Eric King-Wah Chu, Xiongyu Shao, Yi-Min Wei
Publication date: 5 September 2023
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
\(M\)-matrixfixed-point iterationquaternionic matrixnonsymmetric algebraic Riccati equationcomparison matrix
Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Numerical methods for matrix equations (65F45)
Cites Work
- Unnamed Item
- Unnamed Item
- Geršgorin type theorems for quaternionic matrices
- A new class of nonsymmetric algebraic Riccati equations
- Quaternionic-valued ordinary differential equations. The Riccati equation
- Classification of diffeomorphisms of \(\mathbb{S}^4\) induced by quaternionic Riccati equations with periodic coefficients
- Fluid models in queueing theory and Wiener-Hopf factorization of Markov chains
- Existence of algebraic matrix Riccati equations arising in transport theory
- A class of complex nonsymmetric algebraic Riccati equations associated with H-matrix
- The algebraic Riccati equation for quaternions
- 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
- Alternating-directional Doubling Algorithm for M-Matrix Algebraic Riccati Equations
- Complex Nonsymmetric Algebraic Riccati Equations Arising in Markov Modulated Fluid Flows
- NOTE ON M-MATRICES
- Quaternions and particle dynamics in the Euler fluid equations
- A modified Newton method for solving non-symmetric algebraic Riccati equations arising in transport theory
- Nonsymmetric Algebraic Riccati Equations and Hamiltonian-like Matrices
- Global solvability criteria for quaternionic Riccati equations
- Properties of solutions of quaternionic Riccati equations
This page was built for publication: Numerical solutions of quaternionic Riccati equations