Sign patterns of J-orthogonal matrices

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00480731" target="_blank" >RIV/67985840:_____/17:00480731 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1515/spma-2017-0016" target="_blank" >http://dx.doi.org/10.1515/spma-2017-0016</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/spma-2017-0016" target="_blank" >10.1515/spma-2017-0016</a>

Result language
angličtina
Original language name
Sign patterns of J-orthogonal matrices
Original language description
This paper builds upon the results in the article G-matrices, J-orthogonal matrices, and their signnpatterns, Czechoslovak Math. J. 66 (2016), 653–670, by Hall and Rozloznik. A number of further generalnresults on the sign patterns of the J-orthogonal matrices are proved. Properties of block diagonal matrices andntheir sign patterns are examined. It is shown that all 4 × 4 full sign patterns allow J-orthogonality. Importantntools in this analysis are Theorem 2.2 on the exchange operator and Theorem 3.2 on the characterization ofnJ-orthogonal matrices in the paper J-orthogonal matrices: properties and generation, SIAM Review 45 (3)n(2003), 504–519, by Higham. As a result, it follows that for n 4 all n×n full sign patterns allow a J-orthogonalnmatrix as well as a G-matrix. In addition, the 3 × 3 sign patterns of the J-orthogonal matrices which have zeronentries are characterized.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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