Subtitle:

Książka = Book ; KS/8/2008/R03P06

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Description:

[3], 215-235 stron ; 21 cm ; Bibliografia s. 235

Type of object:

Książka/Rozdział

Abstract:

An approach to implicit structures of data constrained in computational procedures is presented herein. Transformations of them are looked for in order to obtain a desired effect of convergence in performed evaluations. First, a kinship between such structures has been elucidated by means of a resemblance comparator on weak Brouwerian lattices. Certain group representations introduced turned out to support suitable transformations imposed on the given set of data. An algorithm has been elaborated on the grounds of theoretical derivations. Data given by sets of multidimensional vectors were structured by associating elements of a Boolean ring (multidimensional bounded intervals) which enabled structural modifications. This yielded decreases of the function computed in an example of energy determination for the helium atom. The stabilization of data relationships was exercised in the course of computations. Skipping effect surpassing results of standard procedures circa 2500% has been shown and illustrated by relevant plots. The method is intended to open a way for a better efficiency in large scale computations, e.g., in many electron system evaluations with high accuracy. This should additionally be stressed that other approaches like extrapolations, genetic algorithrns, etc. have not equally approved their power in resolving hard problems of efficient convergence predictions.

Relation:

Książka = Book

Detailed Resource Type:

Książka

Resource Identifier:

oai:rcin.org.pl:205871

Source:

KS-2008-08-R03P06

Language:

eng

Language of abstract:

eng

Rights:

Licencja Creative Commons Uznanie autorstwa 4.0

Terms of use:

Zasób chroniony prawem autorskim. [CC BY 4.0 Międzynarodowe] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 4.0, której pełne postanowienia dostępne są pod adresem: ; -

Digitizing institution:

Instytut Badań Systemowych Polskiej Akademii Nauk

Original in:

Biblioteka Instytutu Badań Systemowych PAN

Projects co-financed by:

Program Operacyjny Polska Cyfrowa, lata 2014-2020, Działanie 2.3 : Cyfrowa dostępność i użyteczność sektora publicznego; środki z Europejskiego Funduszu Rozwoju Regionalnego oraz współfinansowania krajowego z budżetu państwa

Access:

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