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Pseudosolution Of Linear Functional Equations
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Author :Alexander S. Mechenov Publisher :Springer Science & Business Media ISBN 13 :9780387245058 Total Pages :268 pages Book Rating :4.2/5 (45 download)
Book Synopsis Pseudosolution of Linear Functional Equations by : Alexander S. Mechenov
Download or read book Pseudosolution of Linear Functional Equations written by Alexander S. Mechenov and published by Springer Science & Business Media. This book was released on 2005-03-21 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 958 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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Book Synopsis Pri͡ami Ta Oberneni Zadachi Teoriï Elektromahnitnykh Ta Akustychnykh Khvylʹ by :
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Book Synopsis U.R.S.I. International Symposium on Electromagnetic Theory, Budapest, Hungary, 25-29 August 1986 by : T. Berceli
Download or read book U.R.S.I. International Symposium on Electromagnetic Theory, Budapest, Hungary, 25-29 August 1986 written by T. Berceli and published by . This book was released on 1986 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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Book Synopsis Theory of Linear Algebraic Equations with Random Coefficients by : Viacheslav Leonidovich Girko
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Book Synopsis Current Research on Holography and Interferometric Methods for Measurement of Object Properties by : Yuri N. Zakharov
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Book Synopsis Dissertation Abstracts International by :
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Book Synopsis Moscow University Computational Mathematics and Cybernetics by : Moskovskiĭ gosudarstvennyĭ universitet im. M.V. Lomonosova
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Book Synopsis Regularization for Applied Inverse and Ill-Posed Problems by : Bernd Hofmann
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