A network-based evolutionary method to solve inconsistent simultaneous equations approximately

Hideaki Suzuki, Yoh Iwasa

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

A novel iterative method to solve simultaneous equations with a data-flow network is proposed. The method alternately produces candidate tokens by back-calculation and selects them by the criterion of mutual consistency. Conflict between the values of tokens are gradually eliminated by these operations, and the token values finally approach towards a solution. Numerical experiments show that the proposed method can solve systems of inconsistent simultaneous equations that such differentiation-based algorithms as Newton-Raphson's method cannot solve.

Original languageEnglish
Title of host publication11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013
Pages2486-2491
Number of pages6
DOIs
Publication statusPublished - 2013
Event11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013 - Rhodes, Greece
Duration: Sept 21 2013Sept 27 2013

Publication series

NameAIP Conference Proceedings
Volume1558
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013
Country/TerritoryGreece
CityRhodes
Period9/21/139/27/13

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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