论文标题
Chebfun不适合问题的连续自适应交叉近似
Continuous Adaptive Cross Approximation for Ill-posed Problems with Chebfun
论文作者
论文摘要
线性不良问题的分析通常是在功能分析中使用工具在功能空间中进行的。但是，这些问题的数值解决方案通常是通过首先离散问题，然后应用（有限维）线性代数的工具来计算的。本文探讨了将Chebfun软件包应用于解决问题的问题的可行性。这种方法允许用户使用功能而不是矩阵。因此，解决方案过程比基于标准线性代数的解决方案方法更接近对不足问题的分析。
The analysis of linear ill-posed problems often is carried out in function spaces using tools from functional analysis. However, the numerical solution of these problems typically is computed by first discretizing the problem and then applying tools from (finite-dimensional) linear algebra. The present paper explores the feasibility of applying the Chebfun package to solve ill-posed problems. This approach allows a user to work with functions instead of matrices. The solution process therefore is much closer to the analysis of ill-posed problems than standard linear algebra-based solution methods.
