张量乘积下的非对称代数Riccati方程

IF 1.4 4区数学 Q2 MATHEMATICS, APPLIED Numerical Functional Analysis and Optimization Pub Date : 2023-04-05 DOI:10.1080/01630563.2023.2192593

Xiong-jie Shao, Yimin Wei, J. Yuan

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引用次数: 1

摘要

摘要利用张量积提出了非对称代数Riccati方程。研究了它的极小非负解的存在性。利用张量给出了极小非负解存在唯一的充分条件。该解可以通过快速傅立叶变换获得，这节省了计算所需解的计算成本。进行了一些数值实验。

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Nonsymmetric Algebraic Riccati Equations under the Tensor Product

Abstract The nonsymmetric algebraic Riccati equation is proposed by using the tensor product. The existence of its minimal nonnegative solution is studied. The sufficient condition of the existence and the uniqueness of the minimal nonnegative solution is given by -tensor as well. The solution can be obtained by the fast Fourier transform which save computational cost of computing the required solution. Some numerical experiments are performed.

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来源期刊

Numerical Functional Analysis and Optimization 数学-应用数学

CiteScore

2.40

自引率

8.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Numerical Functional Analysis and Optimization is a journal aimed at development and applications of functional analysis and operator-theoretic methods in numerical analysis, optimization and approximation theory, control theory, signal and image processing, inverse and ill-posed problems, applied and computational harmonic analysis, operator equations, and nonlinear functional analysis. Not all high-quality papers within the union of these fields are within the scope of NFAO. Generalizations and abstractions that significantly advance their fields and reinforce the concrete by providing new insight and important results for problems arising from applications are welcome. On the other hand, technical generalizations for their own sake with window dressing about applications, or variants of known results and algorithms, are not suitable for this journal. Numerical Functional Analysis and Optimization publishes about 70 papers per year. It is our current policy to limit consideration to one submitted paper by any author/co-author per two consecutive years. Exception will be made for seminal papers.