Boosting the inverse interpolation problem by a sum of decaying exponentials using an algebraic approach

zbMath1188.65073MaRDI QIDQ964090

Miguel Martín-Landrove, Giovanni Figueroa, Wuilian Torres, Marco Paluszny

Publication date: 14 April 2010

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228493

zbMATH Keywords

Gröbner basesnumerical examplesmagnetic resonance imagesdata fittingpolynomial equationshomotopy continuation methodcontinuation methodsnonlinear algebraic equationsexponential equationsinverse interpolation problemde Prony's methodinverse Laplace methodsmedical data

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Biomedical imaging and signal processing (92C55) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Numerical interpolation (65D05) Numerical computation of roots of polynomial equations (65H04)

Related Items (2)

Stability analysis of a variant of the Prony method ⋮ A problem in particle physics and its Bayesian analysis

This page was built for publication: Boosting the inverse interpolation problem by a sum of decaying exponentials using an algebraic approach