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Titlebook: Numerical Methods for the Solution of Ill-Posed Problems; A. N. Tikhonov,A. V. Goncharsky,A. G. Yagola Book 1995 Springer Science+Business

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书目名称Numerical Methods for the Solution of Ill-Posed Problems
编辑A. N. Tikhonov,A. V. Goncharsky,A. G. Yagola
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Numerical Methods for the Solution of Ill-Posed Problems;  A. N. Tikhonov,A. V. Goncharsky,A. G. Yagola Book 1995 Springer Science+Business
描述Many problems in science, technology and engineering are posedin the form of operator equations of the first kind, with the operatorand RHS approximately known. But such problems often turn out to beill-posed, having no solution, or a non-unique solution, and/or anunstable solution. Non-existence and non-uniqueness can usually beovercome by settling for `generalised‘ solutions, leading to the needto develop regularising algorithms. .The theory of ill-posed problems has advanced greatly since A. N.Tikhonov laid its foundations, the Russian original of this book(1990) rapidly becoming a classical monograph on the topic. Thepresent edition has been completely updated to consider linearill-posed problems with or without .a priori. constraints(non-negativity, monotonicity, convexity, etc.). .Besides the theoretical material, the book also contains a FORTRANprogram library. ..Audience:. Postgraduate students of physics, mathematics,chemistry, economics, engineering. Engineers and scientists interestedin data processing and the theory of ill-posed problems.
出版日期Book 1995
关键词Fortran; algorithms; mathematics; numerical method
版次1
doihttps://doi.org/10.1007/978-94-015-8480-7
isbn_softcover978-90-481-4583-6
isbn_ebook978-94-015-8480-7
copyrightSpringer Science+Business Media Dordrecht 1995
The information of publication is updating

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Book 1995ely known. But such problems often turn out to beill-posed, having no solution, or a non-unique solution, and/or anunstable solution. Non-existence and non-uniqueness can usually beovercome by settling for `generalised‘ solutions, leading to the needto develop regularising algorithms. .The theory of
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Algorithms for the approximate solution of ill-posed problems on special sets, solution of the problem belongs to .↓., .., .↓.. A uniform approximation to the exact solution of the problem can be constructed if the exact solution is a continuous function of bounded variation. We now turn to the second problem: how to construct an efficient numerical algorithm for solving ill-posed problems on the sets listed above?
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Algorithms and programs for solving linear ill-posed problems,ondly, they have to convince a reader who wants to use our programs that these programs have been correctly inputted by him/her on his/her computer. In this case the model computations may serve as a test case for checking this.
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