Inverse singular value problem for nonsymmetric ahead arrow matrix
Ferya Fathi, Mohammad Ali Fariborzi Araghi, Seyed Abolfazl Shahzadeh Fazeli · Inverse Problems in Science and Engineering · 2021
Constructing a matrix by its spectral information including singular values is called inverse singular value problem (ISVP). In this paper, an ISVP for nonsymmetric ahead arrow matrix by two eigenpairs of the required matrix and one singular value of each leading principal submatrices is investigated. To solve the problem, the recurrence relation of characteristic polynomial of the block Jordan–Weilant matrix associated with the aim matrix is obtained. The conditions of solvability of the problem are derived. Finally a numerical algorithm and an example are given.