Numerical linear algebra for reconstruction inverse problems
نویسندگان
چکیده
منابع مشابه
Linear Algebra and Inverse Problems
Inverse problems arise in many important applications, including medical imaging, microscopy, geophysics, and astrophysics. Because they often involve large scale, extremely ill-conditioned linear systems, linear algebra problems associated with inverse problems are extremely challenging to solve, both mathematically and computationally. Solution schemes require enforcing regularization, using ...
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برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
15 صفحه اولIll-Posed and Linear Inverse Problems
In this paper ill-posed linear inverse problems that arises in many applications is considered. The instability of special kind of these problems and it's relation to the kernel, is described. For finding a stable solution to these problems we need some kind of regularization that is presented. The results have been applied for a singular equation.
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SUMMARY StratiGraph, a Java-based tool for computation and presentation of closure hierarchies of Jordan and Kronecker structures is presented. The tool is based on recent theoretical results on stratiications of orbits and bundles of matrices and matrix pencils. A stratiication reveals the complete hierarchy of nearby structures, information critical for explaining the qualitative behavior of ...
متن کامل“ Numerical Linear Algebra ” course
The main general reference for this and the next two lectures is a recent book [6] and its preliminary version [5] which is freely available on the web. 1 Why iterative methods? As we already know, there are two major classes of methods to solve linear systems: direct methods (like LU factorization, Cholesky factorization, etc.) and iterative methods. We underline the following properties of th...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2004
ISSN: 0377-0427
DOI: 10.1016/j.cam.2003.08.009