Edit Profile (opens in new tab) Catral, Minerva Co-Author Distance Author ID: catral.minerva Published as: Catral, Minerva; Catral, M. Documents Indexed: 36 Publications since 2004 Co-Authors: 55 Co-Authors with 36 Joint Publications 1,795 Co-Co-Authors all top 5 Co-Authors 0 single-authored 17 van den Driessche, Pauline 13 Hogben, Leslie 11 Olesky, D. Dale 5 Berliner, Adam H. 5 Butler, Steven Kay 5 Neumann, Michael 4 Hall, H. Tracy 3 Erickson, Craig 3 Fallat, Shaun M. 3 Ford, Pari L. 3 Harris, Pamela E. 3 Lebtahi, Leila 3 Martinez-Rivera, Xavier 3 Miller, Steven J. 3 Nelson, Dawn 3 Stuart, Jeffrey L. 3 Thome, Néstor 2 Archer, Marie 2 Barrett, Wayne W. 2 Bozeman, Chassidy 2 Breen, Jane 2 Brouwer, Carraugh 2 Cavers, Michael S. 2 Haber, Rana 2 Huynh, My 2 Ochoa, Antonio 2 Reinhart, Carolyn 2 Vander Meulen, Kevin N. 2 Xu, Jianhong 1 Bapat, Ravindra Bhalchandra 1 Berman, Abraham S. 1 Cepek, Anna 1 Ciardo, Lorenzo 1 Cook, Brendan 1 DeAlba, Luz Maria 1 Elhashash, Abed 1 González, Oscar E. 1 Hall, Frank J. 1 Han, Lixing 1 Kim, In-Jae 1 Kirkland, Stephen J. 1 Kroschel, Brenda K. 1 Lazebnik, Kirill Y. 1 Lied, Kelsey 1 Lin, Jephian Chin-Hung 1 Lin, Minghua 1 Pan, Zhao 1 Peters, Travis 1 Plemmons, Robert James 1 Shader, Bryan L. 1 Sze, Nung-Sing 1 Tarazaga, Pablo A. 1 Tsatsomeros, Michael J. 1 Warnberg, Nathan 1 Xu, Huanzhong all top 5 Serials 12 Linear Algebra and its Applications 12 ELA. The Electronic Journal of Linear Algebra 3 The Fibonacci Quarterly 3 Involve 2 Special Matrices 1 Discrete Applied Mathematics 1 Linear and Multilinear Algebra 1 Journal of Computational and Applied Mathematics 1 Journal of Scientific Computing all top 5 Fields 31 Linear and multilinear algebra; matrix theory (15-XX) 20 Combinatorics (05-XX) 5 Probability theory and stochastic processes (60-XX) 5 Numerical analysis (65-XX) 3 Number theory (11-XX) 2 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 204 times in 161 Documents Cited by ▼ Year ▼ On reduced rank nonnegative matrix factorization for symmetric nonnegative matrices. Zbl 1085.15012 Catral, M.; Han, Lixing; Neumann, Michael; Plemmons, R. J. 21 2004 Allow problems concerning spectral properties of sign pattern matrices: a survey. Zbl 1165.15009 Catral, M.; Olesky, D. D.; van den Driessche, P. 20 2009 Block representations of the Drazin inverse of a bipartite matrix. Zbl 1183.15005 Catral, Minerva; Olesky, Dale D.; van den Driessche, Pauline 20 2009 Group inverses of matrices with path graphs. Zbl 1154.15004 Catral, Minerva; Olesky, Dale D.; van den Driessche, Pauline 16 2008 The Kemeny constant for finite homogeneous ergodic Markov chains. Zbl 1203.65023 Catral, M.; Kirkland, S. J.; Neumann, M.; Sze, N.-S. 15 2010 Sign patterns that allow eventual positivity. Zbl 1190.15031 Berman, Abraham; Catral, Minerva; Dealba, Luz Maria; Elhashash, Abed; Hall, Frank J.; Hogben, Leslie; Kim, In-Jae; Olesky, Dale D.; Tarazaga, Pablo; Tsatsomeros, Michael J.; van den Driessche, Pauline 11 2009 Graphical description of group inverses of certain bipartite matrices. Zbl 1184.15004 Catral, M.; Olesky, D. D.; van den Driessche, P. 11 2010 Zero forcing propagation time on oriented graphs. Zbl 1361.05041 Berliner, Adam; Bozeman, Chassidy; Butler, Steve; Catral, Minerva; Hogben, Leslie; Kroschel, Brenda; Lin, Jephian C.-H.; Warnberg, Nathan; Young, Michael 11 2017 The principal rank characteristic sequence over various fields. Zbl 1297.15002 Barrett, Wayne; Butler, Steve; Catral, Minerva; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; van den Driessche, P.; Young, Michael 10 2014 The enhanced principal rank characteristic sequence. Zbl 1334.15017 Butler, Steve; Catral, Minerva; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; van den Driessche, P.; Young, Michael 9 2016 Matrix analysis of a Markov chain small-world model. Zbl 1075.60095 Catral, Minerva; Neumann, Michael; Xu, Jianhong 8 2005 Constructions of potentially eventually positive sign patterns with reducible positive part. Zbl 1252.15033 Archer, Marie; Catral, Minerva; Erickson, Craig; Haber, Rana; Hogben, Leslie; Martinez-Rivera, Xavier; Ochoa, Antonio 4 2011 Sign patterns that require or allow power-positivity. Zbl 1190.15032 Catral, Minerva; Hogben, Leslie; Olesky, Dale D.; van den Driessche, Pauline 4 2009 Proximity in group inverses of M-matrices and inverses of diagonally dominant M-matrices. Zbl 1085.15022 Catral, Minerva; Neumann, Michael; Xu, Jianhong 4 2005 On a matrix group constructed from an \(\{ R,s+1,k \}\)-potent matrix. Zbl 1314.15005 Catral, Minerva; Lebtahi, Leila; Stuart, Jeffrey; Thome, Néstor 4 2014 The enhanced principal rank characteristic sequence for Hermitian matrices. Zbl 1375.15057 Butler, Steve; Catral, Minerva; Hall, H. Tracy; Hogben, Leslie; Martínez-Rivera, Xavier; Shader, Bryan L.; van den Driessche, Pauline 4 2017 Inverses and eigenvalues of diamond alternating sign matrices. Zbl 1310.15008 Catral, Minerva; Lin, Minghua; Olesky, D. D.; van den Driessche, P. 4 2014 Minimum rank, maximum nullity, and zero forcing number of simple digraphs. Zbl 1282.05095 Berliner, Adam; Catral, Minerva; Hogben, Leslie; Huynh, My; Lied, Kelsey; Young, Michael 4 2013 On functions that preserve M-matrices and inverse M-matrices. Zbl 1078.15016 Bapat, R. B.; Catral, M.; Neumann, Michael 3 2005 The maximum nullity of a complete subdivision graph is equal to its zero forcing number. Zbl 1320.05069 Barrett, Wayne; Butler, Steve; Catral, Minerva; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; Young, Michael 3 2014 Sign patterns that allow strong eventual nonnegativity. Zbl 1250.15032 Catral, M.; Erickson, C.; Hogben, L.; Olesky, D. D.; van den Driessche, P. 3 2012 Generalizing Zeckendorf’s theorem: the Kentucky sequence. Zbl 1396.11032 Catral, Minerva; Ford, Pari; Harris, Pamela; Miller, Steven J.; Nelson, Dawn 3 2014 Legal decompositions arising from non-positive linear recurrences. Zbl 1400.11037 Catral, Minerva; Ford, Pari L.; Harris, Pamela E.; Miller, Steven J.; Nelson, Dawn 3 2016 Matrices \(A\) such that \(A^{s+1}R\) = \(RA^\ast\) with \(R^k = I\). Zbl 1391.15044 Catral, Minerva; Lebtahi, Leila; Stuart, Jeffrey; Thome, Néstor 2 2018 Minimum number of distinct eigenvalues allowed by a sign pattern. Zbl 1503.15046 Breen, J.; Brouwer, C.; Catral, M.; Cavers, M.; van den Driessche, P.; Vander Meulen, K. N. 2 2022 New behavior in legal decompositions arising from non-positive linear recurrences. Zbl 1401.11030 Catral, Minerva; Ford, Pari L.; Harris, Pamela E.; Miller, Steven J.; Nelson, Dawn; Pan, Zhao; Xu, Huanzhong 2 2017 Stability of sign patterns from a system of second order ODEs. Zbl 1477.37034 Berliner, Adam H.; Catral, Minerva; Olesky, D. D.; van den Driessche, P. 1 2022 Potentially eventually exponentially positive sign patterns. Zbl 1280.15016 Archer, Marie; Catral, Minerva; Erickson, Craig; Haber, Rana; Hogben, Leslie; Martinez-Rivera, Xavier; Ochoa, Antonio 1 2013 Spectral study of \(\{ R, s + 1, k \}\)- and \(\{R, s + 1, k, \ast \}\)-potent matrices. Zbl 1437.15010 Catral, M.; Lebtahi, L.; Stuart, J.; Thome, N. 1 2020 Minimum number of distinct eigenvalues allowed by a sign pattern. Zbl 1503.15046 Breen, J.; Brouwer, C.; Catral, M.; Cavers, M.; van den Driessche, P.; Vander Meulen, K. N. 2 2022 Stability of sign patterns from a system of second order ODEs. Zbl 1477.37034 Berliner, Adam H.; Catral, Minerva; Olesky, D. D.; van den Driessche, P. 1 2022 Spectral study of \(\{ R, s + 1, k \}\)- and \(\{R, s + 1, k, \ast \}\)-potent matrices. Zbl 1437.15010 Catral, M.; Lebtahi, L.; Stuart, J.; Thome, N. 1 2020 Matrices \(A\) such that \(A^{s+1}R\) = \(RA^\ast\) with \(R^k = I\). Zbl 1391.15044 Catral, Minerva; Lebtahi, Leila; Stuart, Jeffrey; Thome, Néstor 2 2018 Zero forcing propagation time on oriented graphs. Zbl 1361.05041 Berliner, Adam; Bozeman, Chassidy; Butler, Steve; Catral, Minerva; Hogben, Leslie; Kroschel, Brenda; Lin, Jephian C.-H.; Warnberg, Nathan; Young, Michael 11 2017 The enhanced principal rank characteristic sequence for Hermitian matrices. Zbl 1375.15057 Butler, Steve; Catral, Minerva; Hall, H. Tracy; Hogben, Leslie; Martínez-Rivera, Xavier; Shader, Bryan L.; van den Driessche, Pauline 4 2017 New behavior in legal decompositions arising from non-positive linear recurrences. Zbl 1401.11030 Catral, Minerva; Ford, Pari L.; Harris, Pamela E.; Miller, Steven J.; Nelson, Dawn; Pan, Zhao; Xu, Huanzhong 2 2017 The enhanced principal rank characteristic sequence. Zbl 1334.15017 Butler, Steve; Catral, Minerva; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; van den Driessche, P.; Young, Michael 9 2016 Legal decompositions arising from non-positive linear recurrences. Zbl 1400.11037 Catral, Minerva; Ford, Pari L.; Harris, Pamela E.; Miller, Steven J.; Nelson, Dawn 3 2016 The principal rank characteristic sequence over various fields. Zbl 1297.15002 Barrett, Wayne; Butler, Steve; Catral, Minerva; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; van den Driessche, P.; Young, Michael 10 2014 On a matrix group constructed from an \(\{ R,s+1,k \}\)-potent matrix. Zbl 1314.15005 Catral, Minerva; Lebtahi, Leila; Stuart, Jeffrey; Thome, Néstor 4 2014 Inverses and eigenvalues of diamond alternating sign matrices. Zbl 1310.15008 Catral, Minerva; Lin, Minghua; Olesky, D. D.; van den Driessche, P. 4 2014 The maximum nullity of a complete subdivision graph is equal to its zero forcing number. Zbl 1320.05069 Barrett, Wayne; Butler, Steve; Catral, Minerva; Fallat, Shaun M.; Hall, H. Tracy; Hogben, Leslie; Young, Michael 3 2014 Generalizing Zeckendorf’s theorem: the Kentucky sequence. Zbl 1396.11032 Catral, Minerva; Ford, Pari; Harris, Pamela; Miller, Steven J.; Nelson, Dawn 3 2014 Minimum rank, maximum nullity, and zero forcing number of simple digraphs. Zbl 1282.05095 Berliner, Adam; Catral, Minerva; Hogben, Leslie; Huynh, My; Lied, Kelsey; Young, Michael 4 2013 Potentially eventually exponentially positive sign patterns. Zbl 1280.15016 Archer, Marie; Catral, Minerva; Erickson, Craig; Haber, Rana; Hogben, Leslie; Martinez-Rivera, Xavier; Ochoa, Antonio 1 2013 Sign patterns that allow strong eventual nonnegativity. Zbl 1250.15032 Catral, M.; Erickson, C.; Hogben, L.; Olesky, D. D.; van den Driessche, P. 3 2012 Constructions of potentially eventually positive sign patterns with reducible positive part. Zbl 1252.15033 Archer, Marie; Catral, Minerva; Erickson, Craig; Haber, Rana; Hogben, Leslie; Martinez-Rivera, Xavier; Ochoa, Antonio 4 2011 The Kemeny constant for finite homogeneous ergodic Markov chains. Zbl 1203.65023 Catral, M.; Kirkland, S. J.; Neumann, M.; Sze, N.-S. 15 2010 Graphical description of group inverses of certain bipartite matrices. Zbl 1184.15004 Catral, M.; Olesky, D. D.; van den Driessche, P. 11 2010 Allow problems concerning spectral properties of sign pattern matrices: a survey. Zbl 1165.15009 Catral, M.; Olesky, D. D.; van den Driessche, P. 20 2009 Block representations of the Drazin inverse of a bipartite matrix. Zbl 1183.15005 Catral, Minerva; Olesky, Dale D.; van den Driessche, Pauline 20 2009 Sign patterns that allow eventual positivity. Zbl 1190.15031 Berman, Abraham; Catral, Minerva; Dealba, Luz Maria; Elhashash, Abed; Hall, Frank J.; Hogben, Leslie; Kim, In-Jae; Olesky, Dale D.; Tarazaga, Pablo; Tsatsomeros, Michael J.; van den Driessche, Pauline 11 2009 Sign patterns that require or allow power-positivity. Zbl 1190.15032 Catral, Minerva; Hogben, Leslie; Olesky, Dale D.; van den Driessche, Pauline 4 2009 Group inverses of matrices with path graphs. Zbl 1154.15004 Catral, Minerva; Olesky, Dale D.; van den Driessche, Pauline 16 2008 Matrix analysis of a Markov chain small-world model. Zbl 1075.60095 Catral, Minerva; Neumann, Michael; Xu, Jianhong 8 2005 Proximity in group inverses of M-matrices and inverses of diagonally dominant M-matrices. Zbl 1085.15022 Catral, Minerva; Neumann, Michael; Xu, Jianhong 4 2005 On functions that preserve M-matrices and inverse M-matrices. Zbl 1078.15016 Bapat, R. B.; Catral, M.; Neumann, Michael 3 2005 On reduced rank nonnegative matrix factorization for symmetric nonnegative matrices. Zbl 1085.15012 Catral, M.; Han, Lixing; Neumann, Michael; Plemmons, R. J. 21 2004 all cited Publications top 5 cited Publications all top 5 Cited by 300 Authors 9 van den Driessche, Pauline 9 Wei, Yimin 8 Catral, Minerva 8 Mosić, Dijana 6 Bu, Changjiang 6 Deng, Chunyuan 6 Zhang, Daochang 5 Huang, Ting-Zhu 5 Martinez-Rivera, Xavier 5 Nandi, Raju 5 Olesky, D. Dale 5 Xu, Jianhong 5 Yu, Ber-Lin 5 Zhou, Jiang 4 Breen, Jane 4 Brimkov, Boris 4 Fallat, Shaun M. 4 Hicks, Illya V. 4 Hogben, Leslie 4 Kirkland, Stephen J. 4 Mcdonald, Judith Joanne 4 Miller, Steven J. 4 Sivakumar, Koratti Chengalrayan 4 Vander Meulen, Kevin N. 3 Butler, Steven Kay 3 Ho, Ngoc-Diep 3 Hunter, Jeffrey J. 3 Li, Zhongshan 3 Lin, Jephian Chin-Hung 3 Smith, Logan A. 3 Van Dooren, Paul M. 2 Ben-Ari, Iddo 2 Berliner, Adam H. 2 Boyle, Phelim P. 2 Brouwer, Carraugh 2 Cao, Chongguang 2 Carlson, Joshua 2 Cavers, Michael S. 2 Chebotarev, Pavel Yu. 2 Deza, Elena Ivanovna 2 Ferrero, Daniela 2 Gallopoulos, Efstratios 2 Gao, Wei 2 Gao, Yubin 2 Gil’, Michael Iosif 2 Hall, Frank J. 2 Hall, H. Tracy 2 Jacob, Bonnie C. 2 Jin, Yu 2 Karst, Nathaniel J. 2 Lebtahi, Leila 2 Liu, Xiaoji 2 Luo, Jun 2 Mikesell, Derek J. 2 Neumann, Michael 2 O’Brien, Cian 2 Pauca, V. Paul 2 Plemmons, Robert James 2 Quinlan, Rachel 2 Sakai Troxell, Denise 2 Shader, Bryan L. 2 Shaked-Monderer, Naomi 2 Stuart, Jeffrey L. 2 Sun, Lizhu 2 Thome, Néstor 2 Zhang, Hanyu 1 Adams, Alyssa M. 1 Afzal Siddiqui, Hafiz Muhammad 1 Agliari, Elena 1 Ahrens, Robin 1 Akartunalı, Kerem 1 Akiyama, Shigeki 1 An, Qi 1 Anbumalar, S. 1 Ansill, Thomas 1 Ardanza-Trevijano, Sergio 1 Arrondo, Gonzalo 1 Bailey, Victor 1 Balakrishnan, Hamsa 1 Barrett, Wayne W. 1 Beaudouin-Lafon, Matthew 1 Behn, Antonio 1 Benítez Lopez, Julio 1 Ber-Lin, Yu 1 Bergsma, Hannah 1 Berkhout, Joost 1 Berry, Michael W. 1 Bink, Marco C. A. M. 1 Blondel, Vincent D. 1 Bodine, E. J. 1 Boutsidis, Christos 1 Bower, Amanda 1 Boyer, Kirk 1 Bozeman, Chassidy 1 Briat, Corentin 1 Browne, Murray 1 Brualdi, Richard Anthony 1 Brunotte, Horst 1 Bujtás, Csilla 1 Bullo, Francesco ...and 200 more Authors all top 5 Cited in 62 Serials 53 Linear Algebra and its Applications 9 Linear and Multilinear Algebra 8 ELA. The Electronic Journal of Linear Algebra 7 Discrete Applied Mathematics 7 Applied Mathematics and Computation 4 Computational and Applied Mathematics 3 Journal of Computational and Applied Mathematics 3 SIAM Journal on Matrix Analysis and Applications 2 Journal of Mathematical Analysis and Applications 2 Czechoslovak Mathematical Journal 2 Journal of Combinatorial Theory. Series A 2 Theoretical Computer Science 2 Pattern Recognition 2 Computational Statistics and Data Analysis 2 The Australasian Journal of Combinatorics 2 Filomat 2 Journal of Applied Mathematics and Computing 2 Operators and Matrices 1 Computers & Mathematics with Applications 1 Information Processing Letters 1 Journal of the Franklin Institute 1 Rocky Mountain Journal of Mathematics 1 Automatica 1 The Fibonacci Quarterly 1 Mathematica Slovaca 1 Networks 1 Operations Research 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 European Journal of Combinatorics 1 Insurance Mathematics & Economics 1 Bulletin of the Korean Mathematical Society 1 Asia-Pacific Journal of Operational Research 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 SIAM Journal on Discrete Mathematics 1 Journal of Global Optimization 1 Communications in Statistics. Theory and Methods 1 European Journal of Operational Research 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Applied Mathematics. Series B (English Edition) 1 Advances in Computational Mathematics 1 Arab Journal of Mathematical Sciences 1 INFORMS Journal on Computing 1 Journal of Mathematical Chemistry 1 Mathematical Physics, Analysis and Geometry 1 Positivity 1 Journal of Combinatorial Optimization 1 Chaos 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 North American Actuarial Journal 1 Journal of Statistical Mechanics: Theory and Experiment 1 Chebyshevskiĭ Sbornik 1 Optimization Letters 1 Banach Journal of Mathematical Analysis 1 Involve 1 Cryptography and Communications 1 Special Matrices 1 Research in Number Theory 1 AIMS Mathematics 1 Electronic Research Archive all top 5 Cited in 22 Fields 104 Linear and multilinear algebra; matrix theory (15-XX) 64 Combinatorics (05-XX) 19 Probability theory and stochastic processes (60-XX) 19 Numerical analysis (65-XX) 15 Operator theory (47-XX) 7 Functional analysis (46-XX) 7 Statistics (62-XX) 7 Computer science (68-XX) 7 Operations research, mathematical programming (90-XX) 6 Number theory (11-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Associative rings and algebras (16-XX) 3 Information and communication theory, circuits (94-XX) 2 Partial differential equations (35-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) Citations by Year