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A Derivative-free Algorithm for Finding Least Squares Solutions of Quasi-linear and Linear Systems
Journal Title CIT. Journal of Computing and Information Technology
Journal Abbreviation CIT
Publisher Group University of Zagreb
Website http://cit.srce.unizg.hr/index.php/CIT
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Title A Derivative-free Algorithm for Finding Least Squares Solutions of Quasi-linear and Linear Systems
Authors Basch, Danko; Beroš, Ivo; Hlupic, Nikica
Abstract A novel derivative-free algorithm for solving quasilinear systems is presented. It resembles “classical” optimization approach but greatly simplifies computation, resulting in fast execution and numerical stability. Though the global convergence cannot be guaranteed, it turns out that the presented algorithm finds a solution as successfully as other commonly accepted methods. The algorithm is clearly developed and mathematically founded, and its properties are examined by comparisons with other methods.
Publisher University of Zagreb, University Computing Centre - SRCE
Date 2013-10-16
Source Journal of Computing and Information Technology Vol 21, No 2 (2013)
Rights CIT. Journal of Computing and Information Technology is an open access journal. Authors who publish with this journal agree to the following terms:Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work´s authorship and initial publication in this journal. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal´s published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).

 

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