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Selected Works of Fuzhen Zhang
Article
Positivity of Matrices with Generalized Matrix Functions
Acta Mathematica Sinica
  • Fuzhen Zhang, Nova Southeastern University
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Document Type
Article
Publication Date
9-1-2012
Keywords
  • Determinant,
  • Generalized matrix function,
  • Permanent,
  • Trace
Disciplines
Abstract

Using an elementary fact on matrices we show by a unified approach the positivity of a partitioned positive semidefinite matrix with each square block replaced by a compound matrix, an elementary symmetric function or a generalized matrix function. In addition, we present a refined version of the Thompson determinant compression theorem

DOI
10.1007/s10114-012-1210-0
Citation Information
Fuzhen Zhang. "Positivity of Matrices with Generalized Matrix Functions" Acta Mathematica Sinica Vol. 28 Iss. 9 (2012) p. 1779 - 1786 ISSN: 1439-8516
Available at: http://works.bepress.com/fuzhen-zhang/118/