Sign patterns of J-orthogonal matrices

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Sign patterns of J-orthogonal matrices

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Sign patterns of J-orthogonal matrices

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Special Matrices

ISSN

2300-7451

e-ISSN

—

Svazek periodika

5

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

PL - Polská republika

Počet stran výsledku

17

Strana od-do

225-241

Kód UT WoS článku

000427621800001

EID výsledku v databázi Scopus

2-s2.0-85035095405