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Statistics
A Journal of Theoretical and Applied Statistics
Volume 16, 1985 - Issue 2
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Original Articles

GAUSS-newton-like methods for nonlinear least squares with equality constraints-local convergence and applications

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Pages 167-178 | Published online: 27 Jun 2007

References

  • Diciccio , T.J. and Romano , J.P. 1988 . A review of bootstrap confidence inter-vals . J. Roy. Statist. Soc , 50 : 338 – 354 .
  • Britt , H.I. and Luecke , R.H. 1973 . The estimation of parameters in nonlinear, implicit models . Technometrics , 15 : 233 – 247 .
  • Sachs , W.H. 1976 . Implicit multifunctional nonlinear regression analysis . Technometrics , 18 : 161 – 173 .
  • Jefferys , W.H. 1980 . On the method of least squares . The Astronomical Journal , 86 : 149 – 155 .
  • Lindstroem , P. 1980 . A working algorithm based on the Gauss-Newton method for nonlinear least squares problems with nonlinear constraints . Report University of Umea , 86
  • Southwell , W.H. 1969 . Fitting experimental data . J. Comp. Phys , 4 : 465 – 474 .
  • Southwell , W.H. 1974 . Fitting data to nonlinear functions with uncertainties in all measurement variables . The Computer Journal , 19 : 69 – 73 .
  • Powell , D.R. and Macdonald , J.R. 1972 . A rapidly convergent iterative method for the solution of the generalized nonlinear least-squares problem . The Computer Journal , 15 : 148 – 155 .
  • Obtega , J.M. and Rheinboldt , W.C. 1970 . Iterative solution of nonlinear equations in several variables , New York : Academic Press .
  • Schwetlick , H. 1979 . Numerische Losung nichtlinearer Gleichungen , Berlin : VEB Deutscher Verlag der Wissenschaften .
  • Nazareth , L. 1980 . Some recent approaches to solving large residual nonlinear least squares problems . SI AM Review , 22 : 1 – 11 .
  • Schellong , W. , Schuhleb , C. and Nowak , S. 1982 . Nichtlineare Parameter-schatzung in impliziten Kinetikmodellen . Z. phys. Chemie , 236 : 1137 – 1144 .
  • Schuhler , C. and Schellong , W. 1981 . Ein Minimierungsverfahren zur Parameter-schatzung bei nichtlinearen Modellen und seine Anwendung in der chemischen Kinetik . Z.phys. Chemie , 262 : 155 – 161 .
  • Hoyer , W. and Schmidt , I.W. 1984 . Newton-Type Decomposition Methods for Equations Arising in Network Analysis . Z. Angew. Math. u. Mech , 64 : 397 – 405 .

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