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3. Bar´ery Gibsona dlja problemy PoliaGregor Dolinar, Aleksandr Èmilevič Guterman, Bojan Kuzma, 2010, published scientific conference contribution Abstract: V članku je obravnavana spodnja meja za število neničelnih elementov v ▫$(0, 1)$▫ matrikah, pri katerem se da permanento vedno pretvoriti v determinanto samo s spreminjanjem predznaka ▫$pm$▫ elementom matrike.
Keywords: matematika, linearna algebra, teorija matrik, permanenta, determinanta
Published in RUP: 03.04.2017; Views: 2082; Downloads: 64
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4. On maximal distances in a commuting graphGregor Dolinar, Bojan Kuzma, Polona Oblak, 2012, original scientific article Abstract: It is shown that matrices over algebraically closed fields that are farthest apart in the commuting graph must be non-derogatory. Rank-one matrices and diagonalizable matrices are also characterized in terms of the commuting graph.
Keywords: matematika, linearna algebra, teorija grafov, komutirajoči grafi, matrična algebra, algebraično zaprt obseg, centralizator, razdalja v grafih, mathematics, linear algebra, graph theory, commuting graph, matrix algebra, algebraically closed field, centralizer, distance in graphs
Published in RUP: 03.04.2017; Views: 2300; Downloads: 256
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5. Beasley, Leroy B.; Guterman, Alexander E.; Jun, Young-Bae; Song, Seok-Zun: Linear preservers of extremes of rank inequalities over semirings: Row and column ranks. (English). - [J] Linear Algebra Appl. 413, No. 2-3, 495-509 (2006). [ISSN 0024-3795]Bojan Kuzma, 2006, review, book review, critique Keywords: matematika, linearna algebra, lnearni ohranjevalci, polkolobar
Published in RUP: 15.10.2013; Views: 2500; Downloads: 34
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6. Purificação Coelho, M.; Duffner, M.Antónia: Immanant preserving and immanant converting maps. (English). - [J] Linear Algebra Appl. 418, No. 1, 177-187 (2006). [ISSN 0024-3795]Bojan Kuzma, 2006, review, book review, critique Keywords: matematika, linearna algebra, linearne transformacije, ohranjevalci
Published in RUP: 15.10.2013; Views: 2775; Downloads: 35
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8. Tang, Xiao-Ming; Cao, Chong-Guang: Linear maps preserving pairs of Hermitian matrices on which the rank is additive and applications. (English). - [J] J. Appl. Math. Comput. 19, No. 1-2, 253-260 (2005). [ISSN 1598-5865]Bojan Kuzma, 2006, review, book review, critique Keywords: matematika, linearna algebra, ohranjevalci, hermitska matrika, adjungirana matrika, jordanski homomorfizem
Published in RUP: 15.10.2013; Views: 2190; Downloads: 34
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9. Lim, M.H.: Additive mappings between Hermitian matrix spaces preserving rank not exceeding one. (English). - [J] Linear Algebra Appl. 408, 259-267 (2005). [ISSN 0024-3795]Bojan Kuzma, 2006, review, book review, critique Keywords: matematika, linearna algebra, aditivna preslikava, hermitska matrika, ohranjevalec, rang
Published in RUP: 15.10.2013; Views: 2519; Downloads: 32
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10. Ob otobraženijah, sohranjajuščih immanantyBojan Kuzma, 2007, original scientific article Abstract: V članku študiramo preslikave, ki transformirajo eno imananto matričnih snopov v drugo. Vnaprej ne predpostavimo niti surjektivnosti, niti linearnosti preslikav. Predpostavimo zgolj šibko linearnost v obliki identitete ▫$d_chi (Phi(A) + lambda Phi(B)) = d_{chi'}(A+lambda B)$▫. Pokažemo, da zgolj ta identiteta implicira avtomatično linearnost in bijektivnost preslikave ▫$Phi$▫.
Keywords: matematika, linearna algebra, teorija matrik, imanante, ohranjevalci
Published in RUP: 15.10.2013; Views: 2842; Downloads: 90
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