Scholarlink

<p>A linear-time-complexity method to obtain the bidiagonal decomposition of a generalized Kac-Murdock-Szegö matrix is presented. For convenient values of the parameters, it can be obtained with high relative accuracy and it can be also used to compute all eigenvalues, all singular values, the inverse and the solution of some linear systems of equations with high relative accuracy.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

High-relative-accuracy computations with Kac-Murdock-Szegö matrices and their generalizations

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年3月15日

查看全文
  • Jorge Delgado,
  • J. M. Peña

摘要

A linear-time-complexity method to obtain the bidiagonal decomposition of a generalized Kac-Murdock-Szegö matrix is presented. For convenient values of the parameters, it can be obtained with high relative accuracy and it can be also used to compute all eigenvalues, all singular values, the inverse and the solution of some linear systems of equations with high relative accuracy.