Best Least Square Solution of Boundary Value Problems Associated with a System of First Order Matrix DifferentialEquation

The best least square solution of the boundary value problem is constructed via modified QR algorithm and also RQ algorithm. As a result of this work one has a choice of effective methods for finding solutions to two point boundary value problems in the non invertible case. Further these results are...

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Veröffentlicht in:Электронное моделирование
Datum:2015
Hauptverfasser: Swapna, N., Udaya Kumar, S., Murty, K.N.
Format: Artikel
Sprache:Russisch
Veröffentlicht: Інститут проблем моделювання в енергетиці ім. Г.Є. Пухова НАН України 2015
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Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/101099
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Best Least Square Solution of Boundary Value Problems Associated with a System of First Order Matrix DifferentialEquation / N. Swapna, S. Udaya Kumar, K.N. Murty // Электронное моделирование. — 2015 — Т. 37, № 2. — С. 3-16. — Бібліогр.: 4 назв. — рос.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Swapna, N.
Udaya Kumar, S.
Murty, K.N.
author_facet Swapna, N.
Udaya Kumar, S.
Murty, K.N.
citation_txt Best Least Square Solution of Boundary Value Problems Associated with a System of First Order Matrix DifferentialEquation / N. Swapna, S. Udaya Kumar, K.N. Murty // Электронное моделирование. — 2015 — Т. 37, № 2. — С. 3-16. — Бібліогр.: 4 назв. — рос.
collection DSpace DC
container_title Электронное моделирование
description The best least square solution of the boundary value problem is constructed via modified QR algorithm and also RQ algorithm. As a result of this work one has a choice of effective methods for finding solutions to two point boundary value problems in the non invertible case. Further these results are exemplified with suitable examples to highlight the modified QR and RQ algorithms. Получено решение краевой задачи методом наименьших квадратов с помощью модифицированных QR и RQ алгоритмов. Предложен способ выбора эффективных методов решения двухточечных краевых задач в случае необратимости. Приведены примеры применения модифицированных QR и RQ алгоритмов.
first_indexed 2025-11-26T15:14:11Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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language Russian
last_indexed 2025-11-26T15:14:11Z
publishDate 2015
publisher Інститут проблем моделювання в енергетиці ім. Г.Є. Пухова НАН України
record_format dspace
spelling Swapna, N.
Udaya Kumar, S.
Murty, K.N.
2016-05-31T05:48:34Z
2016-05-31T05:48:34Z
2015
Best Least Square Solution of Boundary Value Problems Associated with a System of First Order Matrix DifferentialEquation / N. Swapna, S. Udaya Kumar, K.N. Murty // Электронное моделирование. — 2015 — Т. 37, № 2. — С. 3-16. — Бібліогр.: 4 назв. — рос.
0204-3572
https://nasplib.isofts.kiev.ua/handle/123456789/101099
The best least square solution of the boundary value problem is constructed via modified QR algorithm and also RQ algorithm. As a result of this work one has a choice of effective methods for finding solutions to two point boundary value problems in the non invertible case. Further these results are exemplified with suitable examples to highlight the modified QR and RQ algorithms.
Получено решение краевой задачи методом наименьших квадратов с помощью модифицированных QR и RQ алгоритмов. Предложен способ выбора эффективных методов решения двухточечных краевых задач в случае необратимости. Приведены примеры применения модифицированных QR и RQ алгоритмов.
ru
Інститут проблем моделювання в енергетиці ім. Г.Є. Пухова НАН України
Электронное моделирование
Математическое моделирование и вычислительные методы
Best Least Square Solution of Boundary Value Problems Associated with a System of First Order Matrix DifferentialEquation
Article
published earlier
spellingShingle Best Least Square Solution of Boundary Value Problems Associated with a System of First Order Matrix DifferentialEquation
Swapna, N.
Udaya Kumar, S.
Murty, K.N.
Математическое моделирование и вычислительные методы
title Best Least Square Solution of Boundary Value Problems Associated with a System of First Order Matrix DifferentialEquation
title_full Best Least Square Solution of Boundary Value Problems Associated with a System of First Order Matrix DifferentialEquation
title_fullStr Best Least Square Solution of Boundary Value Problems Associated with a System of First Order Matrix DifferentialEquation
title_full_unstemmed Best Least Square Solution of Boundary Value Problems Associated with a System of First Order Matrix DifferentialEquation
title_short Best Least Square Solution of Boundary Value Problems Associated with a System of First Order Matrix DifferentialEquation
title_sort best least square solution of boundary value problems associated with a system of first order matrix differentialequation
topic Математическое моделирование и вычислительные методы
topic_facet Математическое моделирование и вычислительные методы
url https://nasplib.isofts.kiev.ua/handle/123456789/101099
work_keys_str_mv AT swapnan bestleastsquaresolutionofboundaryvalueproblemsassociatedwithasystemoffirstordermatrixdifferentialequation
AT udayakumars bestleastsquaresolutionofboundaryvalueproblemsassociatedwithasystemoffirstordermatrixdifferentialequation
AT murtykn bestleastsquaresolutionofboundaryvalueproblemsassociatedwithasystemoffirstordermatrixdifferentialequation