Wu, Yaokun; Zhu, Yinfeng Primitivity and Hurwitz primitivity of nonnegative matrix tuples: a unified approach. (English) Zbl 1516.15021 SIAM J. Matrix Anal. Appl. 44, No. 1, 196-211 (2023). Reviewer: Juan Ramón Torregrosa Sánchez (Valencia) MSC: 15B48 15A30 05C50 05B20 47D03 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{Y. Zhu}, SIAM J. Matrix Anal. Appl. 44, No. 1, 196--211 (2023; Zbl 1516.15021) Full Text: DOI
Alseidi, Rola; Garloff, Jürgen Recognition of matrices which are sign-regular of a given order and a generalization of oscillatory matrices. (English) Zbl 1484.15003 Oper. Matrices 15, No. 2, 729-742 (2021). MSC: 15A15 15A18 PDFBibTeX XMLCite \textit{R. Alseidi} and \textit{J. Garloff}, Oper. Matrices 15, No. 2, 729--742 (2021; Zbl 1484.15003) Full Text: DOI
Fomichëv, Vladimir Mikhaĭlovich Estimating nonlinearity characteristics for iterative transformations of a vector space. (Russian. English summary) Zbl 1493.15002 Diskretn. Anal. Issled. Oper. 27, No. 4, 131-151 (2020). MSC: 15A03 15A04 05C50 PDFBibTeX XMLCite \textit{V. M. Fomichëv}, Diskretn. Anal. Issled. Oper. 27, No. 4, 131--151 (2020; Zbl 1493.15002) Full Text: DOI MNR
Fomichev, V. M. On improved universal estimation of exponents of digraphs. (Russian) Zbl 1459.05103 Prikl. Diskretn. Mat. 2019, No. 43, 115-123 (2019). MSC: 05C20 15A16 PDFBibTeX XMLCite \textit{V. M. Fomichev}, Prikl. Diskretn. Mat. 2019, No. 43, 115--123 (2019; Zbl 1459.05103) Full Text: DOI MNR
Fomichev, V. M. Semigroup and metric characteristics of locally primitive matrices and graphs. (Russian, English) Zbl 1413.05228 Diskretn. Anal. Issled. Oper. 25, No. 2, 124-143 (2018); translation in J. Appl. Ind. Math. 12, No. 2, 243-254 (2018). MSC: 05C50 05C20 PDFBibTeX XMLCite \textit{V. M. Fomichev}, Diskretn. Anal. Issled. Oper. 25, No. 2, 124--143 (2018; Zbl 1413.05228); translation in J. Appl. Ind. Math. 12, No. 2, 243--254 (2018) Full Text: DOI
Gerencsér, Balázs; Gusev, Vladimir V.; Jungers, Raphaël M. Primitive sets of nonnegative matrices and synchronizing automata. (English) Zbl 1378.15020 SIAM J. Matrix Anal. Appl. 39, No. 1, 83-98 (2018). MSC: 15B34 15B48 05A05 68Q25 68Q45 PDFBibTeX XMLCite \textit{B. Gerencsér} et al., SIAM J. Matrix Anal. Appl. 39, No. 1, 83--98 (2018; Zbl 1378.15020) Full Text: DOI arXiv
Luo, Meijin; Hou, Zongyi The primitive exponent set of a class of special nonnegative matrix pairs. (Chinese. English summary) Zbl 1389.05100 J. Chongqing Norm. Univ., Nat. Sci. 34, No. 2, 59-66 (2017). MSC: 05C50 05C15 05C20 PDFBibTeX XMLCite \textit{M. Luo} and \textit{Z. Hou}, J. Chongqing Norm. Univ., Nat. Sci. 34, No. 2, 59--66 (2017; Zbl 1389.05100) Full Text: DOI
Avezova, Ya. È.; Fomichev, V. M. Combinatorial properties of rectangular \(0,1\)-matrix systems. (Russian. English summary) Zbl 07310246 Prikl. Diskretn. Mat. 2014, No. 2(24), 5-11 (2014). MSC: 15-XX 05-XX PDFBibTeX XMLCite \textit{Ya. È. Avezova} and \textit{V. M. Fomichev}, Prikl. Diskretn. Mat. 2014, No. 2(24), 5--11 (2014; Zbl 07310246) Full Text: MNR
Luo, Meijin The exponent set of a class of two-colored digraphs with even vertices. (Chinese. English summary) Zbl 1313.05123 J. Inn. Mong. Norm. Univ., Nat. Sci. 43, No. 1, 13-18 (2014). MSC: 05C15 05C20 05C50 PDFBibTeX XMLCite \textit{M. Luo}, J. Inn. Mong. Norm. Univ., Nat. Sci. 43, No. 1, 13--18 (2014; Zbl 1313.05123)
Kyazhin, S. N.; Fomichev, V. M. About primitive systems of natural numbers. (Russian. English summary) Zbl 1490.05003 Prikl. Diskretn. Mat. 2012, No. 2(16), 5-14 (2012). MSC: 05A05 68W30 PDFBibTeX XMLCite \textit{S. N. Kyazhin} and \textit{V. M. Fomichev}, Prikl. Diskretn. Mat. 2012, No. 2(16), 5--14 (2012; Zbl 1490.05003) Full Text: MNR
Bueno, Maria Isabel; Fang, Kuan-Ying; Fuller, Samantha; Furtado, Susana Distribution of the exponents of primitive circulant matrices in the first four boxes of \(\mathbb Z_n\). (English) Zbl 1264.05060 Involve 5, No. 2, 187-205 (2012). MSC: 05C25 05C50 11P70 PDFBibTeX XMLCite \textit{M. I. Bueno} et al., Involve 5, No. 2, 187--205 (2012; Zbl 1264.05060) Full Text: DOI Link
Huang, Yufei; Liu, Bolian On a conjecture for fully indecomposable exponent and Hall exponent. (English) Zbl 1201.15014 Linear Multilinear Algebra 58, No. 5-6, 699-710 (2010). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15B34 05C50 15B48 05B20 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{B. Liu}, Linear Multilinear Algebra 58, No. 5--6, 699--710 (2010; Zbl 1201.15014) Full Text: DOI
Chen, Shexi; Liu, Bolian The scrambling index of symmetric primitive matrices. (English) Zbl 1204.15040 Linear Algebra Appl. 433, No. 6, 1110-1126 (2010). Reviewer: Hans Havlicek (Wien) MSC: 15B48 05C20 05C50 PDFBibTeX XMLCite \textit{S. Chen} and \textit{B. Liu}, Linear Algebra Appl. 433, No. 6, 1110--1126 (2010; Zbl 1204.15040) Full Text: DOI
Shao, Yanling; Gao, Yubin Exponents of 2-colorings of loopless, symmetric digraphs. (English) Zbl 1198.05084 Linear Multilinear Algebra 57, No. 1, 64-74 (2009). MSC: 05C20 05C15 15A18 PDFBibTeX XMLCite \textit{Y. Shao} and \textit{Y. Gao}, Linear Multilinear Algebra 57, No. 1, 64--74 (2009; Zbl 1198.05084) Full Text: DOI
Wang, Rong; Shao, Yanling; Gao, Yubin Upper bound on primitive exponents of a class of two-colored digraph. (Chinese. English summary) Zbl 1199.05136 J. Jilin Univ., Sci. 46, No. 4, 601-606 (2008). MSC: 05C15 05C20 PDFBibTeX XMLCite \textit{R. Wang} et al., J. Jilin Univ., Sci. 46, No. 4, 601--606 (2008; Zbl 1199.05136)
Cai, Junliang The characterization of symmetric primitive matrices with exponent \(n-2\). (English) Zbl 1172.05334 Int. J. Math. Comb. 2, 1-16 (2008). MSC: 05C50 15B48 PDFBibTeX XMLCite \textit{J. Cai}, Int. J. Math. Comb. 2008, No. 2, 1--16 (2008; Zbl 1172.05334)
Shao, Yanling; Gao, Yubin Exponents of 2-coloring of symmetric digraphs. (English) Zbl 1148.05303 Linear Algebra Appl. 428, No. 7, 1538-1550 (2008). MSC: 05C15 15A18 05C20 05C50 PDFBibTeX XMLCite \textit{Y. Shao} and \textit{Y. Gao}, Linear Algebra Appl. 428, No. 7, 1538--1550 (2008; Zbl 1148.05303) Full Text: DOI
Li, Yugi; Li, Dachao The exponent set for the class of non-symmetric primitive matrices with nonzero trace. (Chinese. English summary) Zbl 1106.15015 J. Hainan Norm. Univ., Nat. Sci. 18, No. 3, 193-196 (2005). MSC: 15B48 15A15 PDFBibTeX XMLCite \textit{Y. Li} and \textit{D. Li}, J. Hainan Norm. Univ., Nat. Sci. 18, No. 3, 193--196 (2005; Zbl 1106.15015)
Li, Yuqi; Li, Dachao Another method to completely characterize the exponent set for a class of symmetric matrices with nonzero trace. (Chinese. English summary) Zbl 1104.15015 J. Hainan Norm. Univ., Nat. Sci. 18, No. 2, 99-103 (2005). MSC: 15A30 05C20 05C50 PDFBibTeX XMLCite \textit{Y. Li} and \textit{D. Li}, J. Hainan Norm. Univ., Nat. Sci. 18, No. 2, 99--103 (2005; Zbl 1104.15015)
You, Lihua; Liu, Bolian; Shen, Jian \(r\)-indecomposable and \(r\)-nearly decomposable matrices. (English) Zbl 1084.15016 Linear Algebra Appl. 407, 105-116 (2005). Reviewer: Rabe von Randow (Bonn) MSC: 15B36 05C20 05C50 PDFBibTeX XMLCite \textit{L. You} et al., Linear Algebra Appl. 407, 105--116 (2005; Zbl 1084.15016) Full Text: DOI
Dame, L. F.; Olesky, D. D.; van den Driessche, P. The exponent and circumdiameter of primitive digraphs. (English) Zbl 1059.05054 Linear Algebra Appl. 396, 243-258 (2005). Reviewer: Wai-Kai Chen (Fremont) MSC: 05C20 05C50 15B48 PDFBibTeX XMLCite \textit{L. F. Dame} et al., Linear Algebra Appl. 396, 243--258 (2005; Zbl 1059.05054) Full Text: DOI
Shader, Bryan L.; Suwilo, Saib Exponents of nonnegative matrix pairs. (English) Zbl 1019.15013 Linear Algebra Appl. 363, 275-293 (2003). Reviewer: Rodica Covaci (Cluj-Napoca) MSC: 15B48 PDFBibTeX XMLCite \textit{B. L. Shader} and \textit{S. Suwilo}, Linear Algebra Appl. 363, 275--293 (2003; Zbl 1019.15013) Full Text: DOI
Miao, Zhengke; Pan, Linqiang; Zhang, Kemin The generalized maximum density index sets of primitive matrices with \(d\) nonzero diagonal entries. (Chinese. English summary) Zbl 1011.15008 Acta Math. Sin. 44, No. 1, 15-20 (2001). MSC: 15B33 05B20 05C50 05C20 PDFBibTeX XMLCite \textit{Z. Miao} et al., Acta Math. Sin. 44, No. 1, 15--20 (2001; Zbl 1011.15008)
Miao, Zhengke; Zhang, Kemin The minimal solutions of Boolean matrix-equation \(A^k=J\). (English) Zbl 1016.15009 Northeast. Math. J. 16, No. 2, 155-159 (2000). MSC: 15A24 05B20 05C50 15B36 PDFBibTeX XMLCite \textit{Z. Miao} and \textit{K. Zhang}, Northeast. Math. J. 16, No. 2, 155--159 (2000; Zbl 1016.15009)
Kirkland, Stephen J.; Neumann, Michael Regular Markov chains for which the transition matrix has large exponent. (English) Zbl 0965.15026 Linear Algebra Appl. 316, No. 1-3, 45-65 (2000). Reviewer: Eugene Seneta (Sydney) MSC: 15B48 60J10 15B51 PDFBibTeX XMLCite \textit{S. J. Kirkland} and \textit{M. Neumann}, Linear Algebra Appl. 316, No. 1--3, 45--65 (2000; Zbl 0965.15026) Full Text: DOI
Kirkland, Steve On the sequence of power of a stochastic matrix with large exponent. (English) Zbl 0970.15018 Linear Algebra Appl. 310, No. 1-3, 109-122 (2000). Reviewer: Huang Wenxue (North York /Ontario) MSC: 15B51 05C50 15B48 15A18 15A60 PDFBibTeX XMLCite \textit{S. Kirkland}, Linear Algebra Appl. 310, No. 1--3, 109--122 (2000; Zbl 0970.15018) Full Text: DOI
Zhou, Bo; Liu, Bolian On the convergent index set for Boolean matrices. (Chinese. English summary) Zbl 1054.15502 Adv. Math., Beijing 28, No. 5, 431-436 (1999). MSC: 15B36 PDFBibTeX XMLCite \textit{B. Zhou} and \textit{B. Liu}, Adv. Math., Beijing 28, No. 5, 431--436 (1999; Zbl 1054.15502)
Miao, Zhengke; Zhang, Kemin Two order exponent set of strong connected digraphs. (English) Zbl 0914.05052 J. Nanjing Univ., Math. Biq. 15, No. 1, 9-14 (1998). Reviewer: A.Torgašev (Beograd) MSC: 05C50 05C75 PDFBibTeX XMLCite \textit{Z. Miao} and \textit{K. Zhang}, J. Nanjing Univ., Math. Biq. 15, No. 1, 9--14 (1998; Zbl 0914.05052)
Beasley, LeRoy; Kirkland, Steve On the exponent of a primitive matrix containing a primitive submatrix. (English) Zbl 0882.05037 Linear Algebra Appl. 261, 195-205 (1997). Reviewer: D.Raghavarao (Philadelphia) MSC: 05B20 05C50 PDFBibTeX XMLCite \textit{L. Beasley} and \textit{S. Kirkland}, Linear Algebra Appl. 261, 195--205 (1997; Zbl 0882.05037) Full Text: DOI
Li, Yuqi Complete characterization of the exponent set for the class of nonsymmetric primitive matrices with nonzero symmetric elements. (Chinese. English summary) Zbl 0863.05021 Acta Math. Sin. 39, No. 5, 637-642 (1996). MSC: 05B20 15B48 05C20 PDFBibTeX XMLCite \textit{Y. Li}, Acta Math. Sin. 39, No. 5, 637--642 (1996; Zbl 0863.05021)
Zhou, Bo; Liu, Bolian On a conjecture about the strict Hall exponents of primitive matrices. (English) Zbl 0857.15007 Chin. Sci. Bull. 41, No. 15, 1319-1320 (1996). Reviewer: A.Lal (Kanpur) MSC: 15B36 05B20 PDFBibTeX XMLCite \textit{B. Zhou} and \textit{B. Liu}, Chin. Sci. Bull. 41, No. 15, 1319--1320 (1996; Zbl 0857.15007) Full Text: DOI
Shen, Jian A short proof of a theorem on primitive matrices. (English) Zbl 0897.05062 Congr. Numerantium 121, 204-210 (1996). MSC: 05C50 15B48 05B20 PDFBibTeX XMLCite \textit{J. Shen}, Congr. Numerantium 121, 204--210 (1996; Zbl 0897.05062)
Liu, Bolian Weak exponent of irreducible matrices. (English) Zbl 0830.15014 J. Math. Res. Expo. 14, No. 1, 35-41 (1994). Reviewer: Yang Yingchen (Beijing) MSC: 15B36 15B57 PDFBibTeX XMLCite \textit{B. Liu}, J. Math. Res. Expo. 14, No. 1, 35--41 (1994; Zbl 0830.15014)
Liu, Bolian On fully indecomposable exponent for primitive Boolean matrices with symmetric ones. (English) Zbl 0772.05067 Linear Multilinear Algebra 31, No. 1-4, 131-138 (1992). Reviewer: A.Torgašev (Beograd) MSC: 05C50 05B20 15A99 PDFBibTeX XMLCite \textit{B. Liu}, Linear Multilinear Algebra 31, No. 1--4, 131--138 (1992; Zbl 0772.05067) Full Text: DOI
Liu, Bolian; Cheng, Bo A conjecture on the exponent of nearly decomposable matrices. (Chinese. English summary) Zbl 0766.15030 Appl. Math., J. Chin. Univ. 7, No. 4, 615-617 (1992). Reviewer: Yang Yingchen (Beijing) MSC: 15B57 05B20 15A23 PDFBibTeX XMLCite \textit{B. Liu} and \textit{B. Cheng}, Appl. Math., J. Chin. Univ. 7, No. 4, 615--617 (1992; Zbl 0766.15030)
Liu, Bolian; Shao, Jiayu Characterization of primitive extremal matrices. (English) Zbl 0744.15013 Sci. China, Ser. A 34, No. 7, 791-802 (1991). Reviewer: W.Wiȩsław (Wrocław) MSC: 15B36 05B20 PDFBibTeX XMLCite \textit{B. Liu} and \textit{J. Shao}, Sci. China, Ser. A 34, No. 7, 791--802 (1991; Zbl 0744.15013)
Deng, Yuanbei; Luo, Han The exponent set of odd order primitive matrices which contain symmetric positive elements. (Chinese. English summary) Zbl 0711.15020 J. Hunan Univ. 17, No. 2, 113-118 (1990). Reviewer: Wenting Tong MSC: 15B48 05C20 PDFBibTeX XMLCite \textit{Y. Deng} and \textit{H. Luo}, J. Hunan Univ. 17, No. 2, 113--118 (1990; Zbl 0711.15020)
Li, Qiao Eight lectures on matrix theory. (Chinese) Zbl 0734.15001 Shanghai: Shanghai Science and Technology Publishing House. vi, 149 p. yuan 2.10 (1988). Reviewer: Yang Yingchen (Beijing) MSC: 15-01 15A15 15A21 15A24 15A42 34A30 15A72 PDFBibTeX XMLCite \textit{Q. Li}, Eight lectures on matrix theory (Chinese). Shanghai: Shanghai Science and Technology Publishing House (1988; Zbl 0734.15001)
Shao, Jiayu On a conjecture about the exponent set of primitive matrices. (English) Zbl 0564.15004 Linear Algebra Appl. 65, 91-123 (1985). Reviewer: H.-J.Kowalsky MSC: 15A15 05C50 15B48 PDFBibTeX XMLCite \textit{J. Shao}, Linear Algebra Appl. 65, 91--123 (1985; Zbl 0564.15004) Full Text: DOI
Ross, Jeffrey A. On the exponent of a primitive, nearly reducible matrix. II. (English) Zbl 0507.05013 SIAM J. Algebraic Discrete Methods 3, 395-410 (1982). MSC: 05B20 05C50 15A45 05C20 PDFBibTeX XMLCite \textit{J. A. Ross}, SIAM J. Algebraic Discrete Methods 3, 395--410 (1982; Zbl 0507.05013) Full Text: DOI
Dulmage, A. L.; Mendelsohn, N. S. Gaps in the exponent set of primitive matrices. (English) Zbl 0125.00706 Ill. J. Math. 8, 642-656 (1964). Reviewer: József Dénes (Budapest) MSC: 15A16 05B20 51A45 PDFBibTeX XMLCite \textit{A. L. Dulmage} and \textit{N. S. Mendelsohn}, Ill. J. Math. 8, 642--656 (1964; Zbl 0125.00706)