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## Partial linearization of one class of the nonlinear total least squares problem by using the inverse model function

Jukić, Dragan; Scitovski, Rudolf; Spaeth, Helmuth
Partial linearization of one class of the nonlinear total least squares problem by using the inverse model function // Computing, 62 (1999), 1-15 (međunarodna recenzija, članak, znanstveni)

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Naslov
Partial linearization of one class of the nonlinear total least squares problem by using the inverse model function

Autori
Jukić, Dragan ; Scitovski, Rudolf ; Spaeth, Helmuth

Izvornik
Computing (0010-485X) 62 (1999); 1-15

Ključne riječi
Nonlinear total least squares; errors in variables; orthogonal least squares fitting

Sažetak
In this paper we consider a special nonlinear total least squares problem, where the model function is of the form \$f(x;a,b)=phi^{-1}(ax+b)\$. Using the fact that after an appropriate substitution, the model function becomes linear in parameters, and that the symmetry preserves the distances, this nonlinear total least squares problem can be greatly simplified. In this paper we prove the existence theorem, propose an efficient algorithm for searching the parameters and give some numerical examples.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Projekti:
165021

Ustanove:
Fakultet elektrotehnike, računarstva i informacijskih tehnologija Osijek

Profili:

Rudolf Scitovski (autor)

Dragan Jukić (autor)

#### Citiraj ovu publikaciju:

Jukić, Dragan; Scitovski, Rudolf; Spaeth, Helmuth
Partial linearization of one class of the nonlinear total least squares problem by using the inverse model function // Computing, 62 (1999), 1-15 (međunarodna recenzija, članak, znanstveni)
Jukić, D., Scitovski, R. & Spaeth, H. (1999) Partial linearization of one class of the nonlinear total least squares problem by using the inverse model function. Computing, 62, 1-15.
@article{article, author = {Juki\'{c}, Dragan and Scitovski, Rudolf and Spaeth, Helmuth}, year = {1999}, pages = {1-15}, keywords = {Nonlinear total least squares, errors in variables, orthogonal least squares fitting}, journal = {Computing}, volume = {62}, issn = {0010-485X}, title = {Partial linearization of one class of the nonlinear total least squares problem by using the inverse model function}, keyword = {Nonlinear total least squares, errors in variables, orthogonal least squares fitting} }
@article{article, author = {Juki\'{c}, Dragan and Scitovski, Rudolf and Spaeth, Helmuth}, year = {1999}, pages = {1-15}, keywords = {Nonlinear total least squares, errors in variables, orthogonal least squares fitting}, journal = {Computing}, volume = {62}, issn = {0010-485X}, title = {Partial linearization of one class of the nonlinear total least squares problem by using the inverse model function}, keyword = {Nonlinear total least squares, errors in variables, orthogonal least squares fitting} }

#### 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

• Math.Rev.
• Zentralblat

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