Evaluation and realization of continued-fraction expansion revisited

01 July 2002

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The continuant of a multivariable continued-fraction expansion (CFE) is revisited. The continuant is used to obtain explicit formulas to evaluate a given system function in terms of its CFE terms. A number of applications are used to illustrate the versatility of the approach in determining any finite or infinite CFE. (C) 2002 Elsevier Science Ltd. All rights reserved.