Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A Geršgorin inclusion set for the field of values of a finite matrix
HTML articles powered by AMS MathViewer

by Charles R. Johnson PDF
Proc. Amer. Math. Soc. 41 (1973), 57-60 Request permission

Abstract:

An easily computed Geršgorin type inclusion set for the field of values of an $n$ by $n$ complex matrix is presented. Some functional properties of this inclusion set parallel those of the field of values, and illustrative examples are given.
References
  • W. W. Parker, Sets of complex numbers associated with a matrix, Duke Math. J. 15 (1948), 711–715. MR 26985
    • S. Geršgorin, Über die Abgrenzung der Eigenwerte einer Matrix, Izv. Akad. Nauk SSSR 7 (1931), 749-754.
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 15A42
  • Retrieve articles in all journals with MSC: 15A42
Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 41 (1973), 57-60
  • MSC: Primary 15A42
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0318191-3
  • MathSciNet review: 0318191