We model redundant normalization algorithms as discrete-time time-variant dynamical control systems with the strings of digits treated as integer valued controls. We use the results on time-variant feedback stabilization to prove the convergence of algorithms for elementary functions
An Application of Control-Theoretic Methods to Digital Arithmetic Algorithms / E. ROCHA; A.SARYCHEV; A.PEREIRA; R.RODRIGUES. - In: JOURNAL OF MATHEMATICAL SCIENCES. - ISSN 1072-3374. - STAMPA. - 120:(2002), pp. 995-1005. [10.1023/B:JOTH.0000013562.42731.ec]
An Application of Control-Theoretic Methods to Digital Arithmetic Algorithms
SARYCHEV, ANDREY;
2002
Abstract
We model redundant normalization algorithms as discrete-time time-variant dynamical control systems with the strings of digits treated as integer valued controls. We use the results on time-variant feedback stabilization to prove the convergence of algorithms for elementary functions
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