Nedović, Maja; Cvetković, Ljiljana The Schur complement of \(P H\)-matrices. (English) Zbl 1433.15034 Appl. Math. Comput. 362, Article ID 124541, 9 p. (2019). MSC: 15B48 15A18 15A42 15B57 PDF BibTeX XML Cite \textit{M. Nedović} and \textit{L. Cvetković}, Appl. Math. Comput. 362, Article ID 124541, 9 p. (2019; Zbl 1433.15034) Full Text: DOI
Adm, Mohammad; Garloff, Jürgen Total nonnegativity of the extended Perron complement. (English) Zbl 1346.15029 Linear Algebra Appl. 508, 214-224 (2016). MSC: 15B48 PDF BibTeX XML Cite \textit{M. Adm} and \textit{J. Garloff}, Linear Algebra Appl. 508, 214--224 (2016; Zbl 1346.15029) Full Text: DOI
Wang, Leilei; Liu, Jianzhou; Chu, Shan Properties for the Perron complement of three known subclasses of \(H\)-matrices. (English) Zbl 1310.15066 J. Inequal. Appl. 2015, Paper No. 9, 10 p. (2015). MSC: 15B48 65F10 15A18 PDF BibTeX XML Cite \textit{L. Wang} et al., J. Inequal. Appl. 2015, Paper No. 9, 10 p. (2015; Zbl 1310.15066) Full Text: DOI
Zeng, Li; Xiao, Ming; Huang, Tin-Zhu Perron complements of diagonally dominant matrices and H-matrices. (English) Zbl 1193.15033 Appl. Math. E-Notes 9, 289-296 (2009). Reviewer: Alberto Seeger (Avignon) MSC: 15B48 PDF BibTeX XML Cite \textit{L. Zeng} et al., Appl. Math. E-Notes 9, 289--296 (2009; Zbl 1193.15033) Full Text: EMIS EuDML
Stone, Eric A.; Griffing, Alexander R. On the Fiedler vectors of graphs that arise from trees by Schur complementation of the Laplacian. (English) Zbl 1193.05111 Linear Algebra Appl. 431, No. 10, 1869-1880 (2009). MSC: 05C50 PDF BibTeX XML Cite \textit{E. A. Stone} and \textit{A. R. Griffing}, Linear Algebra Appl. 431, No. 10, 1869--1880 (2009; Zbl 1193.05111) Full Text: DOI
Huang, Guang-Xin; Yin, Feng; Guo, Ke The lower and upper bounds on Perron root of nonnegative irreducible matrices. (English) Zbl 1153.15310 J. Comput. Appl. Math. 217, No. 1, 259-267 (2008). MSC: 15A42 15B48 05C50 PDF BibTeX XML Cite \textit{G.-X. Huang} et al., J. Comput. Appl. Math. 217, No. 1, 259--267 (2008; Zbl 1153.15310) Full Text: DOI
Li, Hua Properties on inverse \(N_0\)-matrices. (Chinese. English summary) Zbl 1164.15336 Math. Pract. Theory 37, No. 13, 163-166 (2007). MSC: 15B48 15A09 60J10 PDF BibTeX XML Cite \textit{H. Li}, Math. Pract. Theory 37, No. 13, 163--166 (2007; Zbl 1164.15336)
Ren, Zhigang; Huang, Tingzhu Generalized Perron complements of \(M\)-matrices. (English) Zbl 1141.15335 Chin. J. Eng. Math. 24, No. 5, 947-950 (2007). MSC: 15B48 15A18 PDF BibTeX XML Cite \textit{Z. Ren} and \textit{T. Huang}, Chin. J. Eng. Math. 24, No. 5, 947--950 (2007; Zbl 1141.15335)
Yang, Shi-Ming; Huang, Ting-Zhu A note on estimates for the spectral radius of a nonnegative matrix. (English) Zbl 1099.15017 Electron. J. Linear Algebra 13, 352-358 (2005). Reviewer: Alan L. Andrew (Bundoora) MSC: 15A42 15B48 15A18 PDF BibTeX XML Cite \textit{S.-M. Yang} and \textit{T.-Z. Huang}, Electron. J. Linear Algebra 13, 352--358 (2005; Zbl 1099.15017) Full Text: DOI EMIS EuDML
Johnson, Charles R.; Reams, Robert Spectral theory of copositive matrices. (English) Zbl 1064.15007 Linear Algebra Appl. 395, 275-281 (2005). Reviewer: Ki Hang Kim (Montgomery) MSC: 15A18 15B48 15B51 15B57 15A63 PDF BibTeX XML Cite \textit{C. R. Johnson} and \textit{R. Reams}, Linear Algebra Appl. 395, 275--281 (2005; Zbl 1064.15007) Full Text: DOI
Lu, Linzhang; Ng, Michael K. Localization of Perron roots. (English) Zbl 1067.15004 Linear Algebra Appl. 392, 103-117 (2004). Reviewer: Witold Wiȩsław (Wrocław) MSC: 15A18 15B48 PDF BibTeX XML Cite \textit{L. Lu} and \textit{M. K. Ng}, Linear Algebra Appl. 392, 103--117 (2004; Zbl 1067.15004) Full Text: DOI
Berman, Abraham; Shaked-Monderer, Naomi Completely positive matrices. (English) Zbl 1030.15022 River Edge, NJ: World Scientific. x, 206 p. (2003). Reviewer: F.Uhlig (Auburn) MSC: 15B48 15A03 15-02 15A23 15B51 PDF BibTeX XML Cite \textit{A. Berman} and \textit{N. Shaked-Monderer}, Completely positive matrices. River Edge, NJ: World Scientific (2003; Zbl 1030.15022)
Bapat, R. B. Perron eigenvector of the Tsetlin matrix. (English) Zbl 1028.15023 Linear Algebra Appl. 363, 3-16 (2003). Reviewer: Michal Zajac (Bratislava) MSC: 15B51 15A18 60J10 PDF BibTeX XML Cite \textit{R. B. Bapat}, Linear Algebra Appl. 363, 3--16 (2003; Zbl 1028.15023) Full Text: DOI
Fan, Yizheng Schur complements and its applications to symmetric nonnegative and \(Z\)-matrices. (English) Zbl 1006.15020 Linear Algebra Appl. 353, No. 1-3, 289-307 (2002). Reviewer: Mariano Gasca (Zaragoza) MSC: 15A42 15B48 PDF BibTeX XML Cite \textit{Y. Fan}, Linear Algebra Appl. 353, No. 1--3, 289--307 (2002; Zbl 1006.15020) Full Text: DOI
Lu, Linzhang Perron complement and Perron root. (English) Zbl 0999.15009 Linear Algebra Appl. 341, No. 1-3, 239-248 (2002). Reviewer: Jitka Drkošova (Praha) MSC: 15A18 15B48 65F15 PDF BibTeX XML Cite \textit{L. Lu}, Linear Algebra Appl. 341, No. 1--3, 239--248 (2002; Zbl 0999.15009) Full Text: DOI
Fallat, Shaun M.; Neumann, Michael On Perron complements of totally nonnegative matrices. (English) Zbl 0977.15012 Linear Algebra Appl. 327, No. 1-3, 85-94 (2001). Reviewer: Václav Burjan (Praha) MSC: 15B48 PDF BibTeX XML Cite \textit{S. M. Fallat} and \textit{M. Neumann}, Linear Algebra Appl. 327, No. 1--3, 85--94 (2001; Zbl 0977.15012) Full Text: DOI
Johnson, Charles R.; Xenophontos, Christos Irreducibility and primitivity of Perron complements: Application of the compressed directed graph. (English) Zbl 0792.05099 George, Alan (ed.) et al., Graph theory and sparse matrix computation. Proceedings of a workshop that was an integral part of the 1991-92 IMA program on ”Applied linear algebra”, Minneapolis, MN (USA). New York: Springer-Verlag. IMA Vol. Math. Appl. 56, 101-106 (1993). MSC: 05C50 05C20 PDF BibTeX XML Cite \textit{C. R. Johnson} and \textit{C. Xenophontos}, IMA Vol. Math. Appl. 56, 101--106 (1993; Zbl 0792.05099)