Construct a matrix with prescribed Ritz values of the order less than or equal to three

Document Type : Original Paper

Authors

Department of Mathematics, Arak University, Arak, Iran

Abstract

The Ritz values of a matrix are the set of all the eigenvalues of the leading principal submatrices. In this paper, assuming that the set of Ritz values is given from the dimension of maximum three, we find a matrix such that the given set is its Ritz values. The conditions for the existing solution are also studied.

Keywords

Main Subjects


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Volume 12, Issue 4 - Serial Number 28
January 2022
Pages 548-556
  • Receive Date: 16 March 2022
  • Revise Date: 30 September 2022
  • Accept Date: 13 December 2022
  • First Publish Date: 22 December 2022