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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Spolecnost pro radioelektronicke inzenyrstvi
2003-09-01
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| Series: | Radioengineering |
| Online Access: | http://www.radioeng.cz/fulltexts/2003/03_03_01_05.pdf |
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doaj-8cf7549966204b39b44937ce91e8afec2020-11-24T22:51:55ZengSpolecnost pro radioelektronicke inzenyrstviRadioengineering1210-25122003-09-0112315Using the Variable-Length Arithmetic for an Accurate Poles-Zeros AnalysisJ. MichalJ. DobesIn 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.www.radioeng.cz/fulltexts/2003/03_03_01_05.pdf |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
J. Michal J. Dobes |
| spellingShingle |
J. Michal J. Dobes Using the Variable-Length Arithmetic for an Accurate Poles-Zeros Analysis Radioengineering |
| author_facet |
J. Michal J. Dobes |
| author_sort |
J. Michal |
| title |
Using the Variable-Length Arithmetic for an Accurate Poles-Zeros Analysis |
| title_short |
Using the Variable-Length Arithmetic for an Accurate Poles-Zeros Analysis |
| title_full |
Using the Variable-Length Arithmetic for an Accurate Poles-Zeros Analysis |
| title_fullStr |
Using the Variable-Length Arithmetic for an Accurate Poles-Zeros Analysis |
| title_full_unstemmed |
Using the Variable-Length Arithmetic for an Accurate Poles-Zeros Analysis |
| title_sort |
using the variable-length arithmetic for an accurate poles-zeros analysis |
| publisher |
Spolecnost pro radioelektronicke inzenyrstvi |
| series |
Radioengineering |
| issn |
1210-2512 |
| publishDate |
2003-09-01 |
| description |
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. |
| url |
http://www.radioeng.cz/fulltexts/2003/03_03_01_05.pdf |
| work_keys_str_mv |
AT jmichal usingthevariablelengtharithmeticforanaccuratepoleszerosanalysis AT jdobes usingthevariablelengtharithmeticforanaccuratepoleszerosanalysis |
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1725668134180880384 |