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  5. IN INTERPOLATING THE VALUES OF FUNCTIONS SPECIFIED BY THE TABLE EFFECTIVENESS OF THE LEAST SQUARES METHOD
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IN INTERPOLATING THE VALUES OF FUNCTIONS SPECIFIED BY THE TABLE EFFECTIVENESS OF THE LEAST SQUARES METHOD

Автор(ы)
М.Е. Eskaliyev
А.А. Masimgazieva
N.A. Nurgali
Дата публикации
10 марта 2020 г.
Тип
journal article
Журнал
Habaršy. Fizika-matematikalyķ ġylymdary seriâsy
Первая страница
68
Последняя страница
71
DOI
10.51889/2020-1.1728-7901.11
ISSN
1728-7901
Аннотация
The article provides a general algorithm of the method of least squares (OLS) for the compilation of a program account, taking into account the features of the Gram matrix. In fact, the difference and advantage of the OLS from the long-known Langrange and Newton interpolation polynomials is emphasized. Using the general MNC algorithm, the square version of the MNC is considered. The characteristic of the full algorithm of the square version is given using special selected mathematical formulas. The scope of OLS in household and practical computational problems is indicated. The application of the least squares method has a wide range, especially for geographical forecasts, hydrometeorological control, and dosage of geological resources. Therefore, for applied calculations, DVI is used for more accurate calculation of approximate values of functions that are suitable in some values and are presented in the form of tables. Its main idea is to create a function and correct deviations caused by errors made during measurement.
Темы

least squares

function interpolatio...

Gram matrix

Lagrange interpolatio...

Newton interpolation ...

measurement error cor...

hydrometeorological m...

Области науки (FoS)

Mathematics

Applied Mathematics

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