Using the Variable-Length Arithmetic for an Accurate Poles-Zeros Analysis

In the paper, a reduction algorithm for transforming the generaleigenvalue problem to the standard one is presented for both classicalfull-matrix methods and a sparse-matrix technique appropriate forlarge-scale circuits. An optimal pivoting strategy for the two methodsis proposed to increase the pre...

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Bibliographic Details
Main Authors: J. Michal, J. Dobes
Format: Article
Language:English
Published: Spolecnost pro radioelektronicke inzenyrstvi 2003-09-01
Series:Radioengineering
Online Access:http://www.radioeng.cz/fulltexts/2003/03_03_01_05.pdf
Description
Summary:In the paper, a reduction algorithm for transforming the generaleigenvalue problem to the standard one is presented for both classicalfull-matrix methods and a sparse-matrix technique appropriate forlarge-scale circuits. An optimal pivoting strategy for the two methodsis proposed to increase the precision of the computations. The accuracyof the algorithms is furthermore increased using longer numerical data.First, a ORQJ.GRXEOH precision sparse algorithm is compared with theGRXEOH precision sparse and full-matrix ones. Finally, the applicationof a suitable multiple-precision arithmetic library is evaluated.
ISSN:1210-2512