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Some inverseM-matrix problems

Some inverseM-matrix problems An upper bound and a lower bound for α0 are given such that \documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\alpha I + B \in M^{ - 1} $$\end{document} for \documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\alpha I + B \notin M^{ - 1} $$\end{document} for α≤α0, whereB is a nonnegative matrix and satisfies that for any positive constant β,βI+B is a power invariant zero pattern matrix. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Acta Mathematicae Applicatae Sinica, English Series" Springer Journals

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Publisher
Springer Journals
Copyright
Copyright © Science Press 2001
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/bf02669679
Publisher site
See Article on Publisher Site

Abstract

An upper bound and a lower bound for α0 are given such that \documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\alpha I + B \in M^{ - 1} $$\end{document} for \documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\alpha I + B \notin M^{ - 1} $$\end{document} for α≤α0, whereB is a nonnegative matrix and satisfies that for any positive constant β,βI+B is a power invariant zero pattern matrix.

Journal

"Acta Mathematicae Applicatae Sinica, English Series"Springer Journals

Published: Jan 1, 2001

Keywords: Nonnegative matrix; inverseM-matrix; M-matrix

References