An Algorithm for Computing the Perron Root of a Nonnegative Irreducible Matrix

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dc.contributor.advisor Carl D. Meyer, Committee Chair en_US
dc.contributor.advisor Ernie L. Stitzinger, Committee Member en_US
dc.contributor.advisor Zhilin Li, Committee Member en_US
dc.contributor.advisor Min Kang, Committee Member en_US
dc.contributor.author Chanchana, Prakash en_US
dc.date.accessioned 2010-04-02T18:35:48Z
dc.date.available 2010-04-02T18:35:48Z
dc.date.issued 2007-03-09 en_US
dc.identifier.other etd-02192007-224304 en_US
dc.identifier.uri http://www.lib.ncsu.edu/resolver/1840.16/3756
dc.description.abstract We present a new algorithm for computing the Perron root of a nonnegative irreducible matrix. The algorithm is formulated by combining a reciprocal of the well known Collatz's formula with a special inverse iteration algorithm discussed in [10, Linear Algebra Appl., 15 (1976), pp 235-242]. Numerical experiments demonstrate that our algorithm is able to compute the Perron root accurately and faster than other well known algorithms; in particular, when the size of the matrix is large. The proof of convergence of our algorithm is also presented. en_US
dc.rights I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dis sertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to NC State University or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report. en_US
dc.subject nonnegative irreducible matrices en_US
dc.subject Perron root en_US
dc.title An Algorithm for Computing the Perron Root of a Nonnegative Irreducible Matrix en_US
dc.degree.name PhD en_US
dc.degree.level dissertation en_US
dc.degree.discipline Applied Mathematics en_US


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