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 language | English (US) |
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Article number | 7577734 |
Pages (from-to) | 48-59 |
Number of pages | 12 |
Journal | IEEE Journal on Multiscale and Multiphysics Computational Techniques |
Volume | 1 |
DOIs | |
State | Published - 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