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The solution of Lyapunov's matrix equation by a geometric method
Published online by Cambridge University Press: 14 November 2011
Synopsis
The author has recently proposed a new algorithm for the solution of the Lyapunov matrix equation of stability theory. This algorithm is based on a formula for the solution of a special case of the equation. This formula is established in the present paper by means of a geometric interpretation. The key ideas are the uses of shift operators and non-orthogonal projections in infinite-dimensional Hilbert space.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 86 , Issue 3-4 , 1980 , pp. 347 - 354
- Copyright
- Copyright © Royal Society of Edinburgh 1980
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