Invariance of Total Positivity of a Matrix under Entry-wise Perturbation and Completion Problems
Invariance of Total Positivity of a Matrix under Entry-wise Perturbation and Completion Problems
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2016
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A Panorama of Mathematics : Pure and Applied / da Fonseca, Carlos M. et al. (ed.). - Providence, Rhode Island : American Mathematical Society, 2016. - (Contemporary Mathematics ; 658). - pp. 115-126. - ISSN 0271-4132. - eISSN 1098-3627. - ISBN 978-1-4704-1668-3
Abstract
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 Mathematics
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Conference Mathematics and its Applications, Nov 14, 2014 - Nov 17, 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, Nov 14, 2014 - Nov 17, 2014. In: DA FONSECA, Carlos M., ed. and others. A Panorama of Mathematics : Pure and Applied. Providence, Rhode Island:American Mathematical Society, pp. 115-126. 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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