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Free eBook Pseudosolution of Linear Functional Equations: Parameters Estimation of Linear Functional Relationships (Mathematics and Its Applications) download

by Alexander S. Mechenov

Free eBook Pseudosolution of Linear Functional Equations: Parameters Estimation of Linear Functional Relationships (Mathematics and Its Applications) download ISBN: 0387245057
Author: Alexander S. Mechenov
Publisher: Springer; 2005 edition (March 21, 2005)
Language: English
Pages: 238
Category: Math Science
Subcategory: Mathematics
Size MP3: 1514 mb
Size FLAC: 1360 mb
Rating: 4.8
Format: lrf lit mbr mobi


In the book there are introduced models and methods of construction of pseudo-solutions for the well-posed and ill-posed linear functional equations circumscribing .

In the book there are introduced models and methods of construction of pseudo-solutions for the well-posed and ill-posed linear functional equations circumscribing models passive, active and complicated experiments. Two types of the functional equations are considered: systems of the linear.

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In the book there are introduced models and methods of construction of pseudo-solutions for the . Two types of the functional equations are considered: systems of the linear algebraic equations and linear integral equations. Methods of construction of pseudos6lutions are developed in the presence of passive right-hand side errors for two types of operator errors: passive measurements and active representation errors of the operator, and all their combinations.

Mathematics and Its Applications. Alexander S. Mechenov. linear functional relationship or the linear functional (algebraic) equation of the first kind [Mathematical encyclopedia 19851. Assumption . et there is a linearfinctional equation of thejrst kind. Other area of applications: problems of the approximation theory of one function by others where also it is admissible to count the values of H exact [Berezin & Zhidkov 1966, Bakhvalov 19731. We study this situation a little bit more in detail [Metchenov 1981, Mechenov 19881.

Two types of the functional equations are considered: systems of the linear algebraic equations and linear integral equations. Methods of construction of pseudos6lutions are developed in the presence of passive right-hand side errors for two types of operator errors: passive measurements and active representation errors of the operator, and all their combinations

2 Functional Relations Primer . The Notion of Functional . V Equations with no parameters.

2 Functional Relations Primer . The Notion of Functional Relations. Beginning Problems. 215. 16 Iterations 1. The Need for New Methods . This topic is not only remarkable for its beauty but also impressive for the fact that functional equations arise in all areas of mathematics and, even more, science, engineering, and social sciences. They appear at all levels of mathematics. For example, the denition of an even function is a functional equation, f (x) f (−x)

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Электронная книга "Pseudosolution of Linear Functional Equations: Parameters Estimation of Linear Functional Relationships", Alexander S. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Pseudosolution of Linear Functional Equations: Parameters Estimation of Linear Functional Relationships" для чтения в офлайн-режиме.

Alexander S. Publisher: Springer Verlag. Mathematics and Its Applications 576.

Pseudosolution of Linear Functional Equations: Parameters Estimation of Linear Functional Relationships. Price: 11. 0.

In the book there are introduced models and methods of construction of pseudo-solutions for the well-posed and ill-posed linear functional equations circumscribing models passive, active and complicated experiments. Two types of the functional equations are considered: systems of the linear algebraic equations and linear integral equations. Methods of construction of pseudos6lutions are developed in the presence of passive right-hand side errors for two types of operator errors: passive measurements and active representation errors of the operator, and all their combinations. For the determined and stochastic models of passive experiments the method of the least distances of construction of pseudosolutions is created, the maximum likelihood method of construction of pseudosolutions is applied for active experiments, and then methods for combinations of models of regression, of passive and of active experiments are created. We have constructed regularized variants of these methods for systems of the linear algebraic equations with the degenerated matrices and for linear integral equations of the first kind. In pure mathematics, the solution techniques of the functional equations with exact input data more often are studied. In applied mathematics, problem consists in construction of pseudosolutions, that is, solution of the hctional equations with perturbed input data. Such problem in many cases is incomparably more complicated. The book is devoted to a problem of construction of a pseudosolution (the problem of a parameter estimation) in the following fundamental sections of applied mathematics: confluent models passive, active and the every possible mixed experiments.