On some inverse singular value problems with Toeplitz-related structure | Zendy

ZhengJian Bai | Zendy; Xiaoqing Jin | Zendy; Seakweng Vong | Zendy

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On some inverse singular value problems with Toeplitz-related structure

Author(s) -

ZhengJian Bai,

Xiaoqing Jin,

Seakweng Vong

Publication year - 2012

Publication title -

numerical algebra control and optimization

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.303

H-Index - 20

eISSN - 2155-3289

pISSN - 2155-3297

DOI - 10.3934/naco.2012.2.187

Subject(s) - singular value , toeplitz matrix , mathematics , singular solution , inverse , singular value decomposition , zero (linguistics) , value (mathematics) , singular integral , mathematical analysis , pure mathematics , physics , algorithm , statistics , eigenvalues and eigenvectors , geometry , integral equation , quantum mechanics , linguistics , philosophy

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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