Finite Sections of Random Jacobi Operators
Finite Sections of Random Jacobi Operators
复制标题
随机雅可比算子的有限部分
DOI：
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发表时间：
2010
影响因子：
2.9
通讯作者：
S. Roch
中科院分区：
文献类型：
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作者：
M. Lindner;S. Roch
本文是关于随机算子数值分析中的一个问题。本文研究了无穷多个变量方程Ax=B$的一种近似解的有限截面法，其中A是随机Jacobi（即，三对角）算子。换句话说，我们近似解决无限二阶差分方程的随机系数通过减少无限体积的情况下（大）有限体积的情况下，通过一个特定的截断技术。对于大部分的文件，我们认为非自伴运营商$A$，但我们也评论自伴的情况下，简化发生。
This article is about a problem in the numerical analysis of random operators. We study a version of the finite section method for the approximate solution of equations $Ax=b$ in infinitely many variables, where $A$ is a random Jacobi (i.e., tridiagonal) operator. In other words, we approximately solve infinite second order difference equations with stochastic coefficients by reducing the infinite volume case to the (large) finite volume case via a particular truncation technique. For most of the paper we consider non-self-adjoint operators $A$, but we also comment on the self-adjoint case when simplifications occur.