Invariance of Total Positivity of a Matrix under Entry-wise Perturbation and Completion Problems
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2016
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DA FONSECA, Carlos M., ed. and others. A Panorama of Mathematics : Pure and Applied. Providence, Rhode Island: American Mathematical Society, 2016, pp. 115-126. Contemporary Mathematics. 658. ISSN 0271-4132. eISSN 1098-3627. ISBN 978-1-4704-1668-3. Available under: doi: 10.1090/conm/658
Zusammenfassung
A totally positive matrix is a matrix having all its minors positive.The largest amount by which the single entries of such a matrix can be perturbed without losing the property of total positivity is given. Also some completion problems for totally positive matrices are investigated.
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510 Mathematik
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Conference Mathematics and its Applications, 14. Nov. 2014 - 17. Nov. 2014, Safat, Kuwait
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ADM, Mohammad, Jürgen GARLOFF, 2016. Invariance of Total Positivity of a Matrix under Entry-wise Perturbation and Completion Problems. Conference Mathematics and its Applications. Safat, Kuwait, 14. Nov. 2014 - 17. Nov. 2014. In: DA FONSECA, Carlos M., ed. and others. A Panorama of Mathematics : Pure and Applied. Providence, Rhode Island: American Mathematical Society, 2016, pp. 115-126. Contemporary Mathematics. 658. ISSN 0271-4132. eISSN 1098-3627. ISBN 978-1-4704-1668-3. Available under: doi: 10.1090/conm/658BibTex
@inproceedings{Adm2016Invar-31461,
year={2016},
doi={10.1090/conm/658},
title={Invariance of Total Positivity of a Matrix under Entry-wise Perturbation and Completion Problems},
number={658},
isbn={978-1-4704-1668-3},
issn={0271-4132},
publisher={American Mathematical Society},
address={Providence, Rhode Island},
series={Contemporary Mathematics},
booktitle={A Panorama of Mathematics : Pure and Applied},
pages={115--126},
editor={da Fonseca, Carlos M.},
author={Adm, Mohammad and Garloff, Jürgen}
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