Pregled bibliografske jedinice broj: 468487
Rigorous Convergence Algorithm for Fitting a Monoexponential Function with a Background Term Using the Least-Squares Method
Rigorous Convergence Algorithm for Fitting a Monoexponential Function with a Background Term Using the Least-Squares Method // Analytical chemistry, 59 (1987), 4; 658-662 doi:10.1021/ac00131a025 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 468487 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Rigorous Convergence Algorithm for Fitting a Monoexponential Function with a Background Term Using the Least-Squares Method
Autori
Jeričević, Željko ; Benson, Douglas M. ; Bryan, Joseph ; Smith, Louis C.
Izvornik
Analytical chemistry (0003-2700) 59
(1987), 4;
658-662
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
monoexponential ; optimization
Sažetak
An algorithm has been developed to analyze data that contain a single exponential function plus a background term, as described by the equation y = b + a*exp(-kt) .Since k is the only nonlinear parameter, the linear parameters a and b can be eliminated from the normal equations. This transforms the least-squares problem to one of finding the root of a transcendental equation.This can be approximated by applying the Newton-Raphson method inside an Interval located by the Fibonacci order search.The features of the algorithm are that (a) close initial guesses for the parameters are not required from the user, (b) convergence to a global minimum is guaranteed, (c) there is a rigorous test to establish that a global minimum has been reached, and (d) the algorithm is numerically stable.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Kemija, Računarstvo
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
- MEDLINE
