Curve fitting and identification of physical spectra

DOI10.1016/0377-0427(95)00202-2zbMath0853.65150OpenAlexW2040081308MaRDI QIDQ1919511

Christine Böckmann

Publication date: 5 January 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00202-2

zbMATH Keywords

algorithmcurve fittingnonlinear least squares problemX-ray emissionidentification of physical spectramethod of regularized variable projectiontrust-region Gauss-Newton method

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Point estimation (62F10) General nonlinear regression (62J02) Numerical computation of solutions to systems of equations (65H10) Probabilistic methods, stochastic differential equations (65C99)

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Cites Work

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• Exponential interpolation: Theory and numerical algorithms
• Stability analysis of the method of seminormal equations for linear least squares problems
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• Nonstandard Scaling Matrices for Trust Region Gauss–Newton Methods
• An algorithm for least squares analysis of spectroscopic data
• Fitting Empirical Data by Positive Sums of Exponentials
• An Adaptive Nonlinear Least-Squares Algorithm
• Algorithms for Separable Nonlinear Least Squares Problems
• A Continuation Method for Nonlinear Regression
• A variable projection method for solving separable nonlinear least squares problems
• Curve fitting by use of graphic display
• Efficient implementation of a variable projection algorithm for nonlinear least squares problems
• The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate
• Perturbation theory for pseudo-inverses

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