Rational approximation of irrational functions by linear fractional transformations

Omar Wing; Yao-Lin Jiang; Qing-Jian Yu

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Rational approximation of irrational functions by linear fractional transformations

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摘要

The cascaded two-port circuit theory is generalized and applied to the approximation of the squareroot of a rational function by a rational function in the form of a chain of linear fractionaltransformations. We prove the convergence of the approximation, and derive an explicit expression ofthe relative error in terms of the two-port parameters and the order of approximation. Examples aregiven.

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《IEEE Transactions on Automatic Control》 |1998年第11期|1216-1221|共6页
作者
Omar Wing; Yao-Lin Jiang; Qing-Jian Yu;
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正文语种英语
中图分类自动化系统;
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RLGC transmission lines; Approximation theory; Irrational functions; Linear fractional transformation;

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Rational approximation of irrational functions by linear fractional transformations

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