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Statistical evaluation of the exact relaxation method. / Miheev, Serge E.

2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings: CNSA 2017 - Proceedings. ред. / L. N. Polyakova. Institute of Electrical and Electronics Engineers Inc., 2017. 7973990 (2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings).

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование

Harvard

Miheev, SE 2017, Statistical evaluation of the exact relaxation method. в LN Polyakova (ред.), 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings: CNSA 2017 - Proceedings., 7973990, 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings, Institute of Electrical and Electronics Engineers Inc., Международная конференция «Конструктивный негладкий анализ и смежные вопросы», Saint-Petersburg, Российская Федерация, 22/05/17. https://doi.org/10.1109/CNSA.2017.7973990

APA

Miheev, S. E. (2017). Statistical evaluation of the exact relaxation method. в L. N. Polyakova (Ред.), 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings: CNSA 2017 - Proceedings [7973990] (2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CNSA.2017.7973990

Vancouver

Miheev SE. Statistical evaluation of the exact relaxation method. в Polyakova LN, Редактор, 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings: CNSA 2017 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2017. 7973990. (2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings). https://doi.org/10.1109/CNSA.2017.7973990

Author

Miheev, Serge E. / Statistical evaluation of the exact relaxation method. 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings: CNSA 2017 - Proceedings. Редактор / L. N. Polyakova. Institute of Electrical and Electronics Engineers Inc., 2017. (2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings).

BibTeX

@inproceedings{d5207903f5a2488bac51bc4810780666,
title = "Statistical evaluation of the exact relaxation method",
abstract = "The method of exact relaxation (ER) makes it possible to accelerate and stabilize the convergence of single-point iterative methods, but in multidimensional cases there exists 'sphere of idling', if hit by a value delivered by the basic algorithm, ER leaves the value unchanged despite computational expenses have already been done. From the other hand, a volume of the sphere is null. Therefore, deterministic estimates of the effectiveness of ER is not satisfactory. Closer to real computational processes there is efficiency estimate by mathematical expectation under this or that hypothesis about probabilistic distribution of the result of the basic algorithm. Received formulas show high efficiency of ER.",
keywords = "итеративные методы, релаксация, итерации",
author = "Miheev, {Serge E.}",
year = "2017",
month = jul,
day = "10",
doi = "10.1109/CNSA.2017.7973990",
language = "English",
series = "2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
editor = "Polyakova, {L. N.}",
booktitle = "2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings",
address = "United States",
note = "2017 Constructive Nonsmooth Analysis and Related Topics : dedicated to the Memory of V.F. Demyanov, CNSA 2017 ; Conference date: 22-05-2017 Through 27-05-2017",
url = "http://www.mathnet.ru/php/conference.phtml?confid=968&option_lang=rus, http://www.pdmi.ras.ru/EIMI/2017/CNSA/",

}

RIS

TY - GEN

T1 - Statistical evaluation of the exact relaxation method

AU - Miheev, Serge E.

PY - 2017/7/10

Y1 - 2017/7/10

N2 - The method of exact relaxation (ER) makes it possible to accelerate and stabilize the convergence of single-point iterative methods, but in multidimensional cases there exists 'sphere of idling', if hit by a value delivered by the basic algorithm, ER leaves the value unchanged despite computational expenses have already been done. From the other hand, a volume of the sphere is null. Therefore, deterministic estimates of the effectiveness of ER is not satisfactory. Closer to real computational processes there is efficiency estimate by mathematical expectation under this or that hypothesis about probabilistic distribution of the result of the basic algorithm. Received formulas show high efficiency of ER.

AB - The method of exact relaxation (ER) makes it possible to accelerate and stabilize the convergence of single-point iterative methods, but in multidimensional cases there exists 'sphere of idling', if hit by a value delivered by the basic algorithm, ER leaves the value unchanged despite computational expenses have already been done. From the other hand, a volume of the sphere is null. Therefore, deterministic estimates of the effectiveness of ER is not satisfactory. Closer to real computational processes there is efficiency estimate by mathematical expectation under this or that hypothesis about probabilistic distribution of the result of the basic algorithm. Received formulas show high efficiency of ER.

KW - итеративные методы, релаксация, итерации

UR - http://www.scopus.com/inward/record.url?scp=85027437725&partnerID=8YFLogxK

U2 - 10.1109/CNSA.2017.7973990

DO - 10.1109/CNSA.2017.7973990

M3 - Conference contribution

AN - SCOPUS:85027437725

T3 - 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings

BT - 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings

A2 - Polyakova, L. N.

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2017 Constructive Nonsmooth Analysis and Related Topics

Y2 - 22 May 2017 through 27 May 2017

ER -

ID: 50427337