Nonsymmetric Algebraic Riccati Equations under the Tensor Product-Reference-Cited by-同舟云学术

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Nonsymmetric Algebraic Riccati Equations under the Tensor Product

Published:2023-04-05 Issue:6 Volume:44 Page:545-563
ISSN:0163-0563
Container-title:Numerical Functional Analysis and Optimization
language:en
Short-container-title:Numerical Functional Analysis and Optimization

Author:

Shao Xiongyu¹,Wei Yimin²,Yuan Jin-Yun³

Affiliation:

1. School of Mathematical Sciences, Fudan University, Shanghai, P. R. China

2. School of Mathematical Sciences and Shanghai Key Laboratory of Contemporary Applied Mathematics, Fudan University, Shanghai, P. R. China

3. Departamento de Matemática, Universidade Federal do Paraná, Centro Politécnico, Curitiba, Brazil

Funder

National Natural Science Foundation of China

CNPq

Shanghai Municipal Science and Technology Commission

Publisher

Informa UK Limited

Subject

Control and Optimization,Computer Science Applications,Signal Processing,Analysis

Link

https://www.tandfonline.com/doi/pdf/10.1080/01630563.2023.2192593

Reference35 articles.

1. Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations

2. Existence of algebraic matrix Riccati equations arising in transport theory

3. Nonsymmetric Algebraic Riccati Equations and Hamiltonian-like Matrices

4. A modified Newton method for solving non-symmetric algebraic Riccati equations arising in transport theory

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Several efficient iterative algorithms for solving nonlinear tensor equation $${\mathcal {X}}+{\mathcal {A}}^{T}*_N{\mathcal {X}}^{-1}*_N{\mathcal {A}}={\mathcal {I}}$$ with Einstein product;Computational and Applied Mathematics;2024-02-08

2. The Moore–Penrose inverse of tensors via the M-product;Computational and Applied Mathematics;2023-08-23

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