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Condition number for under-determined Toeplitz systems

  • Huaian Diao*
  • , Yimin Wei
  • *Corresponding author for this work

Research output: Chapters, Conference Papers, Creative and Literary WorksRGC 32 - Refereed conference paper (with host publication)peer-review

Abstract

In this note, we prove that the structured condition number for Toeplitz under-determined systems with full row rank is not better than unstructured condition number in probability sense.

Original languageEnglish
Title of host publicationWAVELET ANALYSIS AND APPLICATIONS
EditorsQ Tao, Mang, Y Xu
PublisherBirkhauser Boston
Pages263-+
Number of pages3
ISBN (Print)978-3-7643-7777-9
Publication statusPublished - 2007
EventConference on Wavelet Analysis and Applications - , Macao, China
Duration: 29 Nov 20052 Dec 2005

Publication series

NameApplied and Numerical Harmonic Analysis
PublisherBIRKHAUSER BOSTON

Conference

ConferenceConference on Wavelet Analysis and Applications
PlaceMacao, China
Period29/11/052/12/05

Funding

This work was completed with the support of the National Natural Science Foundation of China under grant No. 10471027 and Shanghai Education Committee.

Research Keywords

  • Moore-Penrose inverse
  • structured condition number
  • under-determined Toeplitz systems
  • LEAST-SQUARES PROBLEMS
  • STRUCTURED PERTURBATIONS
  • DISTANCES
  • MATRICES
  • INVERSE
  • BOUNDS

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