Convex Spectral Functions.

Abstract

In this paper we characterize all convex functionals defined on certain convex sets of hermitian matrices and which depend only on the eigenvalues of matrices. We extend these results to certain classes of non-negative matrices. This is done by formulating some new characterizations for the spectral radius of non-negative matrices, which are of independent interest. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1979
Accession Number
ADA068942

Entities

People

  • Shmuel Friedland

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Algebra
  • Analytic Functions
  • Classification
  • Contracts
  • Convex Sets
  • Eigenvalues
  • Eigenvectors
  • Inequalities
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • North Carolina
  • Numbers
  • Permutations
  • Real Numbers
  • Theorems
  • United States

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Graph Algorithms and Convex Optimization.