On some inverse singular value problems with Toeplitz-related structure

Zheng-Jian Bai; Xiao-Qing Jin; Seak-Weng Vong

doi:10.3934/naco.2012.2.187

Article Contents

2012, Volume 2, Issue 1: 187-192. Doi: 10.3934/naco.2012.2.187

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On some inverse singular value problems with Toeplitz-related structure

1.
School of Mathematical Sciences, Xiamen University, Xiamen 361005
2.
Department of Mathematics, University of Macau, Macau

Received: April 30, 2011

Revised: August 31, 2011

Published: February 2012

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Abstract

In this paper, we consider some inverse singular value problems for Toeplitz-related matrices. We construct a Toeplitz-plus-Hankel matrix from prescribed singular values including a zero singular value. Then we find a solution to the inverse singular value problem for Toeplitz matrices which have double singular values including a double zero singular value.

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Mathematics Subject Classification: Primary: 65F15; Secondary: 65F18.

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