Normwise scaling of second order polynomial matrices

Hung Yuan Fan*, Wen Wei Lin, Paul Van Dooren

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

47 Citations (Scopus)


We propose a minimax scaling procedure for second order polynomial matrices that aims to minimize the backward errors incurred in solving a particular linearized generalized eigenvalue problem. We give numerical examples to illustrate that it can significantly improve the backward errors of the computed eigenvalue-eigenvector pairs.

Original languageEnglish
Pages (from-to)252-256
Number of pages5
JournalSIAM Journal on Matrix Analysis and Applications
Issue number1
Publication statusPublished - 2005
Externally publishedYes


  • Balancing
  • Generalized eigenvalues
  • QZ algorithm

ASJC Scopus subject areas

  • Analysis


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