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Regularization Methods for Ill-Posed Optimal Control Problems

2018-10-04 Mathematics
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Release : 2018-10-04
Genre : Mathematics
Kind : eBook
Book Rating : 861/5 ( reviews)

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Book Synopsis Regularization Methods for Ill-Posed Optimal Control Problems by : Frank Pörner

Download or read book Regularization Methods for Ill-Posed Optimal Control Problems written by Frank Pörner. This book was released on 2018-10-04. Available in PDF, EPUB and Kindle. Book excerpt: Ill-posed optimization problems appear in a wide range of mathematical applications, and their numerical solution requires the use of appropriate regularization techniques. In order to understand these techniques, a thorough analysis is inevitable. The main subject of this book are quadratic optimal control problems subject to elliptic linear or semi-linear partial differential equations. Depending on the structure of the differential equation, different regularization techniques are employed, and their analysis leads to novel results such as rate of convergence estimates.

Iterative Regularization Methods for Nonlinear Ill-Posed Problems

2008-09-25 Mathematics
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Release : 2008-09-25
Genre : Mathematics
Kind : eBook
Book Rating : 27X/5 ( reviews)

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Book Synopsis Iterative Regularization Methods for Nonlinear Ill-Posed Problems by : Barbara Kaltenbacher

Download or read book Iterative Regularization Methods for Nonlinear Ill-Posed Problems written by Barbara Kaltenbacher. This book was released on 2008-09-25. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear inverse problems appear in many applications, and typically they lead to mathematical models that are ill-posed, i.e., they are unstable under data perturbations. Those problems require a regularization, i.e., a special numerical treatment. This book presents regularization schemes which are based on iteration methods, e.g., nonlinear Landweber iteration, level set methods, multilevel methods and Newton type methods.

Regularization for Applied Inverse and Ill-Posed Problems

2013-11-22 Technology & Engineering
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Release : 2013-11-22
Genre : Technology & Engineering
Kind : eBook
Book Rating : 343/5 ( reviews)

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Book Synopsis Regularization for Applied Inverse and Ill-Posed Problems by :

Download or read book Regularization for Applied Inverse and Ill-Posed Problems written by . This book was released on 2013-11-22. Available in PDF, EPUB and Kindle. Book excerpt:

Regularization Methods for Ill-posed Problems

1993 Mathematics
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Release : 1993
Genre : Mathematics
Kind : eBook
Book Rating : 112/5 ( reviews)

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Book Synopsis Regularization Methods for Ill-posed Problems by : Vladimir Alekseevich Morozov

Download or read book Regularization Methods for Ill-posed Problems written by Vladimir Alekseevich Morozov. This book was released on 1993. Available in PDF, EPUB and Kindle. Book excerpt: Presents current theories and methods for obtaining approximate solutions of basic classes of incorrectly posed problems. The book provides simple conditions of optimality and the optimality of the order of regular methods for solving a wide class of unsteady problems.

Regularization Methods for Ill-posed Problems

2010 Iterative methods (Mathematics)
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Release : 2010
Genre : Iterative methods (Mathematics)
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Regularization Methods for Ill-posed Problems by : Arthur Neuman

Download or read book Regularization Methods for Ill-posed Problems written by Arthur Neuman. This book was released on 2010. Available in PDF, EPUB and Kindle. Book excerpt: This thesis examines solution methods for large linear systems of equations with a matrix of ill-determined rank and an error-contaminated right-hand side. The numerical solution is delicate, because the matrix is very ill-conditioned and may be singular. To solve such systems, one replaces the system with one that is less sensitive to error a process known as regularization. This thesis focuses on the regularization method known as truncated iteration. A new algorithm is presented and compared to other existing methods.

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