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  • The paper deals with a method for accurate computation of multiple poles and zeros in semisymbolic analysis of idealized linear circuits. The well known problem of the QR and QZ algorithms is their poor accuracy in case of multiple roots, which is usually compensated by the use of slow multiprecision arithmetic. The method presented in this paper is based on an improved reduction procedure for transforming generalized eigenproblem into the standard one in combination with an algorithm for computing the Jordan canonical form of inexact matrices [1]. The reduction procedure uses the SVD method for explicit rank estimation with the aim of avoiding the reporting of spurious roots. Numerical experiments have shown the numerical accuracy to be maintained even for defect matrices with high multiplicity roots.
  • The paper deals with a method for accurate computation of multiple poles and zeros in semisymbolic analysis of idealized linear circuits. The well known problem of the QR and QZ algorithms is their poor accuracy in case of multiple roots, which is usually compensated by the use of slow multiprecision arithmetic. The method presented in this paper is based on an improved reduction procedure for transforming generalized eigenproblem into the standard one in combination with an algorithm for computing the Jordan canonical form of inexact matrices [1]. The reduction procedure uses the SVD method for explicit rank estimation with the aim of avoiding the reporting of spurious roots. Numerical experiments have shown the numerical accuracy to be maintained even for defect matrices with high multiplicity roots. (en)
Title
  • Accurate Semisymbolic Analysis of Circuits with Multiple Roots
  • Accurate Semisymbolic Analysis of Circuits with Multiple Roots (en)
skos:prefLabel
  • Accurate Semisymbolic Analysis of Circuits with Multiple Roots
  • Accurate Semisymbolic Analysis of Circuits with Multiple Roots (en)
skos:notation
  • RIV/60162694:G43__/09:#0003134!RIV10-MO0-G43_____
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA102/08/0784), P(OC09016), Z(MO0FVT0000403), Z(MSM0021630513)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
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http://linked.open...dnocenehoVysledku
  • 301771
http://linked.open...ai/riv/idVysledku
  • RIV/60162694:G43__/09:#0003134
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • pole-zero analysis; linear circuits; QR (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [F96BED0C338C]
http://linked.open...v/mistoKonaniAkce
  • Rodos, Řecko
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  • Řecko
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the 13th WSEAS International Conference on Circuits
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Horák, Michal
  • BIOLEK, DALIBOR
  • BIOLKOVÁ, VIERA
  • KOLKA, Zdeněk
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
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  • WSEAS
https://schema.org/isbn
  • 978-960-474-096-3
http://localhost/t...ganizacniJednotka
  • G43
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