Arrowheading Enhanced Multivariance Products Representation for a Kernel (AEMPRK) in a Bivariate Taylor Series Expansion

Okan A., Demiralp M.

International Conference of Computational Methods in Sciences and Engineering (ICCMSE), Athens, Greece, 20 - 23 March 2015, vol.1702 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1702
  • Doi Number: 10.1063/1.4938942
  • City: Athens
  • Country: Greece
  • Istanbul Technical University Affiliated: Yes


Our recent efforts to increase the capabilities of Enhanced Multivariate Products Representation (EMPR) has become fruitful and resulted in the birth of several new representation methods like Tridiagonal Matrix EMPR, Tridiagonal Kernel EMPR. We have also observed that the EMPR of a sum of outer products globally results in a three factor product representation whose kernel matrix is in an arrowheaded form. We have also proven that the same thing happens to be existing for the EMPR of bivariate functions composed of a sum of binary univariate function products. This work specifically focuses on the case of a bivariate Taylor expansion's EMPR.