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
Volume1558
DOIs
Publication statusPublished - Nov 19 2013
Event11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013 - Rhodes, Greece
Duration: Sep 21 2013Sep 27 2013

Other

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

Fingerprint

simultaneous equations
Newton-Raphson method

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Suzuki, H., & Iwasa, Y. (2013). A network-based evolutionary method to solve inconsistent simultaneous equations approximately. In 11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013 (Vol. 1558, pp. 2486-2491) https://doi.org/10.1063/1.4826045

A network-based evolutionary method to solve inconsistent simultaneous equations approximately. / Suzuki, Hideaki; Iwasa, Yoh.

11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013. Vol. 1558 2013. p. 2486-2491.

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

Suzuki, H & Iwasa, Y 2013, A network-based evolutionary method to solve inconsistent simultaneous equations approximately. in 11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013. vol. 1558, pp. 2486-2491, 11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013, Rhodes, Greece, 9/21/13. https://doi.org/10.1063/1.4826045
Suzuki H, Iwasa Y. A network-based evolutionary method to solve inconsistent simultaneous equations approximately. In 11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013. Vol. 1558. 2013. p. 2486-2491 https://doi.org/10.1063/1.4826045
Suzuki, Hideaki ; Iwasa, Yoh. / A network-based evolutionary method to solve inconsistent simultaneous equations approximately. 11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013. Vol. 1558 2013. pp. 2486-2491
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