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Sylvester and Riccati Equations

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Part of the book series: Numerical Methods and Algorithms ((NUAL,volume 1))

Abstract

In this Chapter, we will consider methods for solving the algebraic Sylvester and Riccati equations.

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References

  1. E.D. Denman, A.N. Beavers, The matrix sign function and computation in systems, Appl. Math. Comput., 2 (1976) 63–94.

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  3. P. Lancaster, L. Rodman, Algebraic Riccati Equations, Clarendon Press, Oxford, 1995.

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  4. J.F. Riccati, Animadversationes in aequationes differentiales secundi gradus, Acta Eruditorum Lipsiae, 8 (1724) 67–73.

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  5. J.D. Roberts, Linear model reduction and solution of the algebraic Riccati equation by use of the sign function, Intern. J. Control, 32 (1980) 677–687.

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© 2002 Kluwer Academic Publishers

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Brezinski, C. (2002). Sylvester and Riccati Equations. In: Brezinski, C. (eds) Computational Aspects of Linear Control. Numerical Methods and Algorithms, vol 1. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0261-2_10

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  • DOI: https://doi.org/10.1007/978-1-4613-0261-2_10

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4020-0711-8

  • Online ISBN: 978-1-4613-0261-2

  • eBook Packages: Springer Book Archive

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