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.
All Science Journal Classification (ASJC) codes
- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering