Intervals of Totally Nonnegative Matrices
| Type of Publication: | Working Paper/Technical Report |
| URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-250051 |
| Author: | Adm, Mohammad; Garloff, Jürgen |
| Year of publication: | 2013 |
| Series: | Konstanzer Schriften in Mathematik ; 321 |
| Summary: |
Totally nonnegative matrices, i.e., matrices having all their minors nonnegative, and matrix intervals with respect to the checkerboard ordering are considered. It is proven that if the two bound matrices of such a matrix interval are nonsigular and totally nonnegative (and in addition all their zero minors are identical) then all matrices from this matrix interval are also nonsingular and totally nonnegative (with identical zero minors).
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| Subject (DDC): | 510 Mathematics |
| Keywords: | totally nonnegative matrix, checkerboard ordering, matrix interval, Cauchon diagram, Cauchon algorithm |
| Link to License: | In Copyright |
| Bibliography of Konstanz: | Yes |
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ADM, Mohammad, Jürgen GARLOFF, 2013. Intervals of Totally Nonnegative Matrices
@techreport{Adm2013Inter-25005, series={Konstanzer Schriften in Mathematik}, title={Intervals of Totally Nonnegative Matrices}, year={2013}, number={321}, author={Adm, Mohammad and Garloff, Jürgen} }
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