Application of the principle of analytic continuation to interpolate/extrapolate system responses resulting in reduced computations - Part A: Parametric methods

Tapan Kumar Sarkar, Magdalena Salazar-Palma, Eric L. Mokole

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

The objective of this review paper is to illustrate the principle of analytic continuation and provide its relationship to reduced rank modeling using the total least-squares-based singular value decomposition methodology. The principles are illustrated in the different domains using the matrix pencil method and the Cauchy method for various reduced computational applications. In a companion paper, the use of a nonparametric methodology will be illustrated.

Original languageEnglish (US)
Article number7577734
Pages (from-to)48-59
Number of pages12
JournalIEEE Journal on Multiscale and Multiphysics Computational Techniques
Volume1
DOIs
StatePublished - Jan 1 2016

Keywords

  • Cauchy method
  • Computational techniques
  • Matrix pencil method
  • Parametric methods
  • Principle of analytic continuation
  • Reduced rank modeling

ASJC Scopus subject areas

  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy (miscellaneous)
  • Computational Mathematics

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