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The Riccati Equation

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Methods in Approximation

Part of the book series: Mathematics and Its Applications ((MAIA,volume 26))

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Abstract

In this chapter we wish to apply approximation techniques to the study of one of the fundamental equations of mathematical analysis, the first order nonlinear ordinary differential equation.

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Bibliography and Comments

  • Bellman, R,:1970, Methods of Nonlinear Analysis, vol I & II, Academic Press, N.Y.

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  • Bellman, R.:1978, “Quasilinearization and the Matrix Riccati Equation”, JMAA, 64,1, 106–113

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  • Bellman, R. and R. Kalaba,:1965, Quasi-linear ization and Nonlinear Boundary Value Problems, American Elsevier, N.Y.

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  • Bellman, R, and R. Vasudevan:1967, “Upper and Lower Bounds for the Solution of the Matrix Riccati Equation”, JMAA, 17, 373–379

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© 1986 D Reidel Publishing Company

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Bellman, R.E., Roth, R.S. (1986). The Riccati Equation. In: Methods in Approximation. Mathematics and Its Applications, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4600-2_8

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  • DOI: https://doi.org/10.1007/978-94-009-4600-2_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8544-1

  • Online ISBN: 978-94-009-4600-2

  • eBook Packages: Springer Book Archive

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