Lie algebraic factorization of multivariable evolution operators: Convergence theorems for the canonical case

Metin Demiralp; Herschel Rabitz

doi:10.1016/0020-7225(93)90044-U

Lie algebraic factorization of multivariable evolution operators: Convergence theorems for the canonical case

Metin Demiralp, Herschel Rabitz

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Abstract

This work is devoted to establishing the convergence theorems for the canonical case of the Lie algebraic factorization of multivariable evolution operators. The definition and various properties of the ξ-approximants are given in a companion pager. The theorems presented in this paper give some sufficient conditions for the convergence of the ξ-approximant sequences. Proofs are given for a specific region of the variable space appearing in the Lie operator and the theorems are useful for many practical applications.

Original language	English (US)
Pages (from-to)	333-346
Number of pages	14
Journal	International Journal of Engineering Science
Volume	31
Issue number	2
DOIs	https://doi.org/10.1016/0020-7225(93)90044-U
State	Published - Feb 1993

All Science Journal Classification (ASJC) codes

General Materials Science
General Engineering
Mechanics of Materials
Mechanical Engineering

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10.1016/0020-7225(93)90044-U

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title = "Lie algebraic factorization of multivariable evolution operators: Convergence theorems for the canonical case",

abstract = "This work is devoted to establishing the convergence theorems for the canonical case of the Lie algebraic factorization of multivariable evolution operators. The definition and various properties of the ξ-approximants are given in a companion pager. The theorems presented in this paper give some sufficient conditions for the convergence of the ξ-approximant sequences. Proofs are given for a specific region of the variable space appearing in the Lie operator and the theorems are useful for many practical applications.",

author = "Metin Demiralp and Herschel Rabitz",

note = "Funding Information: Acknowledgements-Thea uthorsw ould like to thank Professor Hilmi Demiray for helpful comments.T his work was supportedb y NATO via RG. 86/0123.",

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AU - Rabitz, Herschel

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N2 - This work is devoted to establishing the convergence theorems for the canonical case of the Lie algebraic factorization of multivariable evolution operators. The definition and various properties of the ξ-approximants are given in a companion pager. The theorems presented in this paper give some sufficient conditions for the convergence of the ξ-approximant sequences. Proofs are given for a specific region of the variable space appearing in the Lie operator and the theorems are useful for many practical applications.

AB - This work is devoted to establishing the convergence theorems for the canonical case of the Lie algebraic factorization of multivariable evolution operators. The definition and various properties of the ξ-approximants are given in a companion pager. The theorems presented in this paper give some sufficient conditions for the convergence of the ξ-approximant sequences. Proofs are given for a specific region of the variable space appearing in the Lie operator and the theorems are useful for many practical applications.

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Lie algebraic factorization of multivariable evolution operators: Convergence theorems for the canonical case

Abstract

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