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Description
  • Navrhli jsem novou modifikaci Bellmanovy kvazilinearizační metody pracující v každém itaračním kroku s aproximací řešení původního nelineárního systému a s novou aproximací parametrů $\alpha^{(k+1)}$, která je dostatečně blízko předchozí aproximaci. Tento přístup zaručuje konstrukci konvergentní posloupnosti parametrů jejíž limita je nejlepší aproximací parametrů daného systému. Aplikovali jsme tuto metodu na matematický model popisující BSP kinetiku v lidských játrech. (cs)
  • We propose a new modification of Bellman's quasilinearization method such that at any iteration step, it works with an approximate solution of the original nonlinear system and with new approximation of parameters α(k+1) which are close enough to the previous ones. As an output, this approach provides a construction of a convergent sequence of parameters where the limit is the best approximation of parameters of a given system. We apply this method to a mathematical model describing BSP-kinetics in the human liver.
  • We propose a new modification of Bellman's quasilinearization method such that at any iteration step, it works with an approximate solution of the original nonlinear system and with new approximation of parameters α(k+1) which are close enough to the previous ones. As an output, this approach provides a construction of a convergent sequence of parameters where the limit is the best approximation of parameters of a given system. We apply this method to a mathematical model describing BSP-kinetics in the human liver. (en)
Title
  • Modification of the quasilinearization method for the inverse problem
  • Modifikace kvazilinearizační metody pro inverzní úlohu (cs)
  • Modification of the quasilinearization method for the inverse problem (en)
skos:prefLabel
  • Modification of the quasilinearization method for the inverse problem
  • Modifikace kvazilinearizační metody pro inverzní úlohu (cs)
  • Modification of the quasilinearization method for the inverse problem (en)
skos:notation
  • RIV/47813059:19610/07:#0000114!RIV07-GA0-19610___
http://linked.open.../vavai/riv/strany
  • 1-18
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/06/0318), Z(MSM4781305904)
http://linked.open...iv/cisloPeriodika
  • ID 97278
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 434734
http://linked.open...ai/riv/idVysledku
  • RIV/47813059:19610/07:#0000114
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • quasilinearization method; inverse problem (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [2D7E38646B86]
http://linked.open...i/riv/nazevZdroje
  • International Journal of Mathematics and Mathematical Sciences
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...v/svazekPeriodika
  • 2007
http://linked.open...iv/tvurceVysledku
  • Kozáková, Lenka
http://linked.open...n/vavai/riv/zamer
issn
  • 1687-0425
number of pages
http://localhost/t...ganizacniJednotka
  • 19610
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