Positive Definite Hankel Matrices UsingCholesky Factorization

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2 Scopus citations

Abstract

Real positive definite Hankel matrices arise in many important applications. They have spectral condition numbers which exponentially increase with their orders. We give a structural algorithm for finding positive definite Hankel matrices using the Cholesky factorization, compute it for orders less than or equal to 30, and compare our result with earlier results.

Original languageEnglish
Pages (from-to)221-225
Number of pages5
JournalComputational Methods in Applied Mathematics
Volume9
Issue number3
DOIs
StatePublished - 2009

Keywords

  • Cholesky factorization
  • Hankel matrices
  • real positive definite matrices

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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