The variable projection algorithm in time-resolved spectroscopy, microscopy and mass spectrometry applications

DOI10.1007/s11075-008-9235-2zbMath1166.65345OpenAlexW2063886834MaRDI QIDQ1027790

Katharine M. Mullen, Ivo H. M. van Stokkum

Publication date: 30 June 2009

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-008-9235-2

zbMATH Keywords

parameter estimationdata fittingmass spectrometryspectroscopyvariable projectionseparable nonlinear least squaresmicroscopy

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05)

Related Items (8)

Numerical solution of separable nonlinear equations with a singular matrix at the solution ⋮ Rank deficiencies and bifurcation into affine subspaces for separable parameterized equations ⋮ Numerical approximation of partial differential equations by a variable projection method with artificial neural networks ⋮ An efficient algorithm for the separable nonlinear least squares problem ⋮ Error bounds for spectral enhancement which are based on variable Hilbert scale inequalities ⋮ Secant variable projection method for solving nonnegative separable least squares problems ⋮ Solving separable nonlinear equations using LU factorization ⋮ Solving separable nonlinear least squares problems using the QR factorization

Uses Software

• R
• TIMP

Cites Work

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• Solving rank-deficient separable nonlinear equations
• Algorithms for separable nonlinear least squares with application to modelling time-resolved spectra
• Regularized Semiparametric Model Identification with Application to Nuclear Magnetic Resonance Signal Quantification with Unknown Macromolecular Base-Line
• Algorithms for Separable Nonlinear Least Squares Problems
• Testing Non-Nested Models After Estimation by Instrumental Variables or Least Squares
• A variable projection method for solving separable nonlinear least squares problems
• Efficient implementation of a variable projection algorithm for nonlinear least squares problems
• Separable nonlinear least squares: the variable projection method and its applications
• Elimination of Linear Parameters in Nonlinear Regression
• The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate

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