On the determination of a tridiagonal matrix from its spectrum and a submatrix

P. Deift, T. Nanda

Research output: Contribution to journalArticle

Abstract

Given a set of 2n real numbers λ12<⋯<λ2n, the authors describe the set {S} of n × n tridiagonal matrices with the property that each S can be completed to a 2n×2n tridiagonal matrix L with spec(L)={λ1, λ2,...,λ2n}.

Original languageEnglish (US)
Pages (from-to)43-55
Number of pages13
JournalLinear Algebra and Its Applications
Volume60
Issue numberC
DOIs
StatePublished - Aug 1984

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

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