On the solution of nonlinear rate equations by matrix inversion
- 1 January 1978
- proceedings article
- Published by AIP Publishing in AIP Conference Proceedings
- Vol. 46 (1) , 337-359
- https://doi.org/10.1063/1.31426
Abstract
In this paper an idea of T. Carleman is used to imbed a finite set of nonlinear rate equations into an infinite set of linear equations. The matrix operator associated with the linear equations is generally a triangular matrix whose matrix elements are matrices. Since an explicit expression is available for the inverse of such a matrix, an algorithm can be found to yield the solution of the original set of nonlinear equations.Keywords
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