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 |  | 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 | doi | https://doi.org/10.1007/978-94-015-8480-7 | isbn_softcover | 978-90-481-4583-6 | isbn_ebook | 978-94-015-8480-7 | copyright | Springer Science+Business Media Dordrecht 1995 |
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