Fast verified computation for the minimal nonnegative solution of the nonsymmetric algebraic Riccati equation-Reference-Cited by-同舟云学术

Fast verified computation for the minimal nonnegative solution of the nonsymmetric algebraic Riccati equation

Published:2018-02-13 Issue:4 Volume:37 Page:4599-4610
ISSN:0101-8205
Container-title:Computational and Applied Mathematics
language:en
Short-container-title:Comp. Appl. Math.

Author:

Miyajima Shinya^ORCID

Funder

JSPS KAKENHI

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

http://link.springer.com/article/10.1007/s40314-018-0590-x/fulltext.html

Reference20 articles.

1. Bini DA, Iannazzo B, Meini B (2012) Numerical solution of algebraic Riccati equations. SIAM Publications, Philadelphia

2. Fiedler M, Pták V (1962) On matrices with non-positive off-diagonal elements and positive principal minors. Czech Math J 12:382–400

3. Guo C-H (2001) Nonsymmetric algebraic Riccati equations and Wiener-Hopf factorization for $$M$$ M -Matrices. SIAM J Matrix Anal Appl 23:225–242

4. Haqiri T, Poloni F (2017) Methods for verified stabilizing solutions to continuous-time algebraic Riccati equations. J Comp Appl Math 313:515–535

5. Hashemi B (2012) Verified computation of symmetric solutions to continuous-time algebraic Riccati Matrix equations. Proc. SCAN conference, Novosibirsk, pp 54–56. http://conf.nsc.ru/files/conferences/scan2012/139586/Hashemi-scan2012.pdf . Accessed 10 Feb 2018

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