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The real positive definite completion problem: cycle completability

About this Title

Wayne W. Barrett, Charles R. Johnson and Raphael Loewy

Publication: Memoirs of the American Mathematical Society
Publication Year 1996: Volume 122, Number 584
ISBNs: 978-0-8218-0473-5 (print); 978-1-4704-0169-6 (online)
MathSciNet review: 1342017
MSC: Primary 15A99; Secondary 05C50, 15A48

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Table of Contents


  • 1. Introduction
  • 2. Graph theory concepts
  • 3. Basic facts about the positive definite completion problem
  • 4. Examples
  • 5. Main result
  • 6. The implication $(1.0’) \Rightarrow (1.1)$
  • 7. The implication $(1.1) \Rightarrow (1.2)$
  • 8. The implication $(1.2) \Rightarrow (1.3)$
  • 9. The implication $(1.3) \Rightarrow (1.0)$