Solving Symmetric Algebraic Riccati Equations with High Order Iterative Schemes

Mediterranean Journal of Mathematics ◽

10.1007/s00009-018-1092-1 ◽

2018 ◽

Vol 15 (2) ◽

Author(s):

M. A. Hernández-Verón ◽

N. Romero

Keyword(s):

Riccati Equations ◽

Iterative Schemes ◽

Algebraic Riccati Equations

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Some predictor-corrector-type iterative schemes for solving nonsymmetric algebraic Riccati equations arising in transport theory

Numerical Linear Algebra with Applications ◽

10.1002/nla.1932 ◽

2014 ◽

Vol 21 (6) ◽

pp. 761-780 ◽

Author(s):

N. Huang ◽

C.F. Ma

Keyword(s):

Transport Theory ◽

Riccati Equations ◽

Iterative Schemes ◽

Algebraic Riccati Equations ◽

Predictor Corrector

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Fast Iterative Schemes for Nonsymmetric Algebraic Riccati Equations Arising from Transport Theory

SIAM Journal on Scientific Computing ◽

10.1137/060675344 ◽

2008 ◽

Vol 30 (2) ◽

pp. 804-818 ◽

Author(s):

Zhong-Zhi Bai ◽

Yong-Hua Gao ◽

Lin-Zhang Lu

Keyword(s):

Transport Theory ◽

Riccati Equations ◽

Iterative Schemes ◽

Algebraic Riccati Equations

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Solution of algebraic riccati equations using the sum of roots

Proceedings of the 2009 international symposium on Symbolic and algebraic computation - ISSAC '09 ◽

10.1145/1576702.1576733 ◽

2009 ◽

Author(s):

Masaaki Kanno ◽

Kazuhiro Yokoyama ◽

Hirokazu Anai ◽

Shinji Hara

Keyword(s):

Riccati Equations ◽

Algebraic Riccati Equations

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Solving large-scale nonsymmetric algebraic Riccati equations from two-dimensional transport models by doubling

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113447 ◽

2021 ◽

Vol 391 ◽

pp. 113447

Author(s):

Peter Chang-Yi Weng

Keyword(s):

Large Scale ◽

Riccati Equations ◽

Two Dimensional ◽

Transport Models ◽

Algebraic Riccati Equations

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A Parameterized Class of Complex Nonsymmetric Algebraic Riccati Equations

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2019-0140 ◽

2021 ◽

Vol 14 (3) ◽

pp. 650-691

Author(s):

Liqiang Dong

Keyword(s):

Riccati Equations ◽

Algebraic Riccati Equations

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On an iterative algorithm to compute the positive stabilizing solution of generalized algebraic Riccati equations

2009 Chinese Control and Decision Conference ◽

10.1109/ccdc.2009.5192595 ◽

2009 ◽

Author(s):

Yantao Feng ◽

Brian D. O. Anderson

Keyword(s):

Iterative Algorithm ◽

Riccati Equations ◽

Algebraic Riccati Equations ◽

Stabilizing Solution

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The Role of the Hamiltonian in the Solution of Algebraic Riccati Equations

Dynamical Systems, Control, Coding, Computer Vision ◽

10.1007/978-3-0348-8970-4_8 ◽

1999 ◽

pp. 157-172 ◽

Author(s):

Peter Lancaster

Keyword(s):

Riccati Equations ◽

Algebraic Riccati Equations

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5. Abstract algebraic Riccati equations: Existence and uniqueness

Differential and Algebraic Riccati Equations with Application to Boundary/Point Control Problems: Continuous Theory and Approximation Theory - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0006885 ◽

2005 ◽

pp. 35-50

Keyword(s):

Existence And Uniqueness ◽

Riccati Equations ◽

Algebraic Riccati Equations

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The convergence analysis of an accelerated iteration for solving algebraic Riccati equations

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2021.11.003 ◽

2021 ◽

Author(s):

Chun-Yueh Chiang

Keyword(s):

Convergence Analysis ◽

Riccati Equations ◽

Algebraic Riccati Equations

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Initializing Newton's method for discrete-time algebraic Riccati equations using the butterfly SZ algorithm

Proceedings of the 1999 IEEE International Symposium on Computer Aided Control System Design (Cat. No.99TH8404) ◽

10.1109/cacsd.1999.808626 ◽

2003 ◽

Author(s):

H. Fassbender ◽

P. Benner

Keyword(s):

Discrete Time ◽

Newton’S Method ◽

Newton's Method ◽

Riccati Equations ◽

Algebraic Riccati Equations

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