A review of the parameter estimation problem of fitting positive exponential sums to empirical data
type: Item
instance of: scholarly article
title: A review of the parameter estimation problem of fitting positive exponential sums to empirical data
zbMATH Open document ID: 1023.65009
DOI: 10.1016/S0096-3003(00)00138-7
author: Kenneth Holmström
author: Jöran Petersson
published in: Applied Mathematics and Computation
publication date: 2003-01-28T00:00:00Z
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 65C60
Mathematics Subject Classification ID: 62F10
Mathematics Subject Classification ID: 11L03
Mathematics Subject Classification ID: 11Y60
zbMATH DE Number: 1861007
zbMATH Keywords: interpolation method
zbMATH Keywords: transform method
zbMATH Keywords: Gauss-Newton method
zbMATH Keywords: secant method
zbMATH Keywords: curve fitting
zbMATH Keywords: statistical methods
zbMATH Keywords: cross-validation
zbMATH Keywords: quasi-Newton algorithm
zbMATH Keywords: weighted nonlinear least-squares
zbMATH Keywords: maximal likelihood
describes a project that uses: ELSUNC_f90
describes a project that uses: TOMLAB
describes a project that uses: OPERA
describes a project that uses: NLPLIB
describes a project that uses: POSITRONFIT
MaRDI profile type: Publication
cites work: On the use of a linear model for the identification of feedback systems
cites work: Q4769776
cites work: A new look at the statistical model identification
cites work: Q5508534
cites work: Variational Methods for Non-Linear Least-Squares
cites work: Exponential interpolation: Theory and numerical algorithms
cites work: On the recovery and resolution of exponential relaxation rates from experimental data II. The optimum choice of experimental sampling points for Laplace transform inversion
cites work: On the recovery and resolution of exponential relaxational rates from experimental data: Laplace transform inversions in weighted spaces
cites work: On the nonuniqueness of monosplines with least L\(_2\)-norm
cites work: On rational \(L_2\)-Approximation
cites work: Chebyshev approximation by \(\gamma\)-polynomials. III. On the number of best approximations
cites work: Q3872276
cites work: On Approximation by Positive Sums of Powers
cites work: A Parallel Nonlinear Least-Squares Solver: Theoretical Analysis and Numerical Results
cites work: A Method for Fitting Linear Combinations of Exponentials
cites work: Eine Klasse von Verfahren zur Ermittlung bester nichtlinearer Tschebyscheff-Approximationen
cites work: Strong uniqueness: A far-reaching criterion for the convergence analysis of iterative procedures
cites work: A unified approach to differential characterizations of local best approximations for exponential sums and splines
cites work: Regular \(C^ 1-\)parametrizations for exponential sums and splines
cites work: 363: On the Fitting of Linear Combinations of Exponentials
cites work: Q3702408
cites work: An Adaptive Nonlinear Least-Squares Algorithm
cites work: An Empirical Study of Jackknife-Constructed Confidence Regions in Nonlinear Regression
cites work: On Least Squares Exponential Sum Approximation With Positive Coefficients
cites work: Hybrid Methods for Nonlinear Least Squares
cites work: Q4226179
cites work: On the partial realization problem
cites work: Structural stability in nonlinear optimization
cites work: Q3938417
cites work: Q3231529
cites work: Q3415749
cites work: Q3415748
cites work: On the Use of Product Structure in Secant Methods for Nonlinear Least Squares Problems
cites work: Fitting Systems of Linear Differential Equations Using Computer Generated Exact Derivatives
cites work: Nonlinear optimization: Characterization of structural stability
cites work: A simple inversion method for determining aerosol size distributions
cites work: Least Squares Approximation of Completely Monotonic Functions by Sums of Exponentials
cites work: Q3936512
cites work: Q4724470
cites work: A modified prony algorithm for estimating sinusoidal frequencies
cites work: Q3777859
cites work: Some Recent Approaches to Solving Large Residual Nonlinear Least Squares Problems
cites work: Q4109138
cites work: Some Special Nonlinear Least Squares Problems
cites work: Nonlinear least squares — the Levenberg algorithm revisited
cites work: Q3742597
cites work: A Modified Prony Algorithm for Fitting Functions Defined by Difference Equations
cites work: A Modified Prony Algorithm for Exponential Function Fitting
cites work: Recursive Identification of Linear Systems

A review of the parameter estimation problem of fitting positive exponential sums to empirical data (cites work)
cites work: Modeling by shortest data description

A review of the parameter estimation problem of fitting positive exponential sums to empirical data (cites work)
cites work: Fitting Empirical Data by Positive Sums of Exponentials

A review of the parameter estimation problem of fitting positive exponential sums to empirical data (cites work)
cites work: Q3880179

A review of the parameter estimation problem of fitting positive exponential sums to empirical data (cites work)
cites work: Algorithms for Separable Nonlinear Least Squares Problems

A review of the parameter estimation problem of fitting positive exponential sums to empirical data (cites work)
cites work: Decomposition of Multicomponent Exponential Decays by Spectral Analytic Techniques

A review of the parameter estimation problem of fitting positive exponential sums to empirical data (cites work)
cites work: Q3880178

A review of the parameter estimation problem of fitting positive exponential sums to empirical data (cites work)
cites work: A class of small sample nonlinear least squares problems

A review of the parameter estimation problem of fitting positive exponential sums to empirical data (cites work)
cites work: On Fitting Exponentials by Nonlinear Least Squares

A review of the parameter estimation problem of fitting positive exponential sums to empirical data (cites work)
cites work: Factorized quasi-Newton methods for nonlinear least squares problems

A review of the parameter estimation problem of fitting positive exponential sums to empirical data (cites work)
cites work: Q3274514

A review of the parameter estimation problem of fitting positive exponential sums to empirical data (cites work)
cites work: The Validity of a Family of Optimization Methods

A review of the parameter estimation problem of fitting positive exponential sums to empirical data (cites work)
cites work: Specialised versus general-purpose algorithms for minimising functions that are sums of squared terms

A review of the parameter estimation problem of fitting positive exponential sums to empirical data (cites work)
cites work: Q5633558

A review of the parameter estimation problem of fitting positive exponential sums to empirical data (cites work)
cites work: Q4489971