## Numerical methods for spectral problems: theory and applications

P000003

### An accelerated technique for solving one type of continuous-time algebraic Riccati equations arising from palindromic eigenvalue problems

*Chun-Yueh Chiang (Center for General Education, National Formosa University)
Matthew M. Lin (Department of Mathematics, National Cheng Kung University)

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 Related papers 1. Tiexiang Li, Chun-Yueh Chiang, Eric King-wah Chu*, Wen-Wei Lin, The palindromic generalized eigenvalue problem A*x=\lambda Ax: Numerical solution and applications (2011), Linear Algebra and its Applications, 434 , pp.2269–2284. 2. Matthew M. Lin and C.-Y. Chiang*, An accelerated technique for solving one type of discrete-time algebraic Riccati equations, (2018, August). Journal of Computational and Applied Mathematics, 338(15), pp.91–110. 3. Matthew M. Lin and C.-Y. Chiang*, An iterative method for solving the stable subspace of a matrix pencil and its application, (2018). Linear and Multilinear Algebra, 66(7), pp.1279–1298. 4. Matthew M. Lin and C.-Y. Chiang*, On the semigroup property for some structured iterations, (2019, June). Revised for publication, arXiv:1811.00758. Keywords Palindromic eigenvalue problems, Algebraic Riccati equations, Semigroup property, Superlinear convergence