Research and Teaching Interests
matrix theory, graph theory, theory and applications of nonnegative matrices, combinatorial matrix theory, spectral graph theory
Current graduate students
Select publications
- Abreu, Nair; Fritscher, Eliseu and Justel, Claudia and Kirkland, Steve (2017). Corrigendum: “On the characteristic set, centroid and centre for a tree” [ MR3733397]. Linear Multilinear Algebra 65 (10), 2152.
- Abreu, Nair; Fritscher, Eliseu and Justel, Claudia and Kirkland, Steve (2017). On the characteristic set, centroid, and centre for a tree. Linear Multilinear Algebra 65 (10), 2046–2063.
- Breen, Jane and Kirkland, Steve (2017). Minimising the largest mean first passage time of a Markov chain: the influence of directed graphs. Linear Algebra Appl. 520, 306–334.
- Johnston, Nathaniel; Kirkland, Steve; Plosker, Sarah and Storey, Rebecca and Zhang, Xiaohong (2017).Perfect quantum state transfer using Hadamard diagonalizable graphs. Linear Algebra Appl. 531, 375–398.
- Kirkland, Steve and Li, Chi-Kwong (2017). Preface to the Marcus issue. Linear Multilinear Algebra 65(10), 1925–1926.
- Kirkland, Steve (2016). Random walk centrality and a partition of Kemeny’s constant. Czechoslovak Math. J. 66(141) (3), 757–775.
- Kirkland, Steve; Qiao, Pu and Zhan, Xingzhi (2016). Algebraically positive matrices. Linear Algebra Appl. 504, 14–26.
- Kirkland, Steve and Zeng, Ze (2016). Kemeny’s constant and an analogue of Braess’ paradox for trees.Electron. J. Linear Algebra 31, 444–464.
- Benek Gursoy, Buket; Kirkland, Steve and Mason, Oliver and Sergeev, Sergeı̆ (2015). The Markov chain tree theorem in commutative semirings and the state reduction algorithm in commutative semifields. Linear Algebra Appl. 468, 184–196.
- Bhatia, Rajendra; Kirkland, Steve and Prasad, K. Manjunatha and Puntanen, Simo (2015). Preface: Special volume of Electronic Journal of Linear Algebra dedicated to Professor Ravindra B. Bapat on the occasion of his 60th birthday and International Conference on Linear Algebra & Its Applications, December 18–20, 2014, Department of Statistics, Manipal University, Manipal, India. Electron. J. Linear Algebra 29, 1–2.
- Breen, Jane and Kirkland, Steve (2015). Stationary vectors of stochastic matrices subject to combinatorial constraints. Electron. J. Linear Algebra 28, 25–53.
- Kirkland, Stephen and Severini, Simone (2015). α-Kuramoto partitions from the frustrated Kuramoto model generalise equitable partitions. Appl. Anal. Discrete Math. 9 (1), 29–38.
- Kirkland, Steve (2015). Sensitivity analysis of perfect state transfer in quantum spin networks. Linear Algebra Appl. 472, 1–30.
- Kirkland, Steve; Rocha, Israel and Trevisan, Vilmar (2015). Algebraic connectivity of k-connected graphs. Czechoslovak Math. J. 65(140) (1), 219–236.
- Benedetto, John; Choi, Man-Duen and Kirkland, Stephen (2014). Chandler Davis as mentor. Math. Intelligencer 36 (1), 20–21.
- Goldberg, Felix and Kirkland, Steve (2014). On the sign patterns of the smallest signless Laplacian eigenvector. Linear Algebra Appl. 443, 66–85.
- Kirkland, Steve (2014). Load balancing for Markov chains with a specified directed graph. Linear Multilinear Algebra 62 (11), 1491–1508.
- Kirkland, Steve (2014). On the Kemeny constant and stationary distribution vector for a Markov chain. Electron. J. Linear Algebra 27, 354–372.
- Kirkland, Steve (2014). The minimum coefficient of ergodicity for a Markov chain with a given directed graph. Linear Algebra Appl. 447, 139–154.
- Gursoy, Buket Benek; Kirkland, Steve and Mason, Oliver and Sergeev, Sergeı̆ (2013). On the Markov chain tree theorem in the max algebra. Electron. J. Linear Algebra 26, 15–27.
- Kirkland, Stephen J. and Neumann, Michael (2013). Group inverses of M-matrices and their applicationsChapman & Hall/CRC Applied Mathematics and Nonlinear Science Series. CRC Press, Boca Raton, FL.
- Cavers, M.; Cioab ̆a, S. M.; Fallat, S.; Gregory, D. A. and Haemers, W. H.; Kirkland, S. J. and McDonald, J. J. and Tsatsomeros, M. (2012). Skew-adjacency matrices of graphs. Linear Algebra Appl. 436 (12), 4512–4529.
- DeAlba, Luz M.; Grout, Jason; Kim, In-Jae; Kirkland, Steve; McDonald, Judith J. and Yielding, Amy (2012). Minimum rank of powers of trees. Electron. J. Linear Algebra 23, 151–163.
- Schlote, Arieh; Crisostomi, Emanuele and Kirkland, Stephen and Shorten, Robert (2012). Traffic modelling framework for electric vehicles. Internat. J. Control 85 (7), 880–897.
- Zappavigna, A.; Colaneri, P.; Kirkland, S. and Shorten, R. (2012). Essentially negative news about positive systems. Linear Algebra Appl. 436 (9), 3425–3442.
- Barik, S.; Fallat, S. and Kirkland, S. (2011). On Hadamard diagonalizable graphs. Linear Algebra Appl. 435 (8), 1885–1902.
- Crisostomi, E.; Kirkland, S. and Shorten, R. (2011). A Google-like model of road network dynamics and its application to regulation and control. Internat. J. Control 84 (3), 633–651.
- Kirkland, Steve (2011). Sign patterns for eigenmatrices of nonnegative matrices. Linear Multilinear Algebra 59 (9), 999–1018.
- Kirkland, Steve and Li, Chi-Kwong (2011). Preface [Quantum information science, and numerical ranges]. Linear Multilinear Algebra 59 (10), 1075.
- Kirkland, Steve; Oliveira, Carla Silva and Justel, Claudia Marcela (2011). On algebraic connectivity augmentation. Linear Algebra Appl. 435 (10), 2347–2356.
- Kirkland, Steve and Paul, Debdas (2011). Bipartite subgraphs and the signless Laplacian matrix. Appl. Anal. Discrete Math. 5 (1), 1–13.
- Brualdi, Richard A. and Kirkland, Steve (2010). Totally nonnegative (0,1)-matrices. Linear Algebra Appl. 432 (7), 1650–1662.
- Catral, M.; Kirkland, S. J.; Neumann, M. and Sze, N.-S. (2010). The Kemeny constant for finite homogeneous ergodic Markov chains. J. Sci. Comput. 45 (1-3), 151–166.
- Cavers, Michael; Fallat, Shaun and Kirkland, Steve (2010). On the normalized Laplacian energy and general Randić index R−1 of graphs. Linear Algebra Appl. 433 (1), 172–190.
- Kirkland, Stephen; de Freitas, Maria Aguieiras Alvarez and Del Vecchio, Renata Raposo and de Abreu, Nair Maria Maia (2010). Split non-threshold Laplacian integral graphs. Linear Multilinear Algebra 58 (1-2), 221–233.
- Kirkland, Steve (2010). Algebraic connectivity for vertex-deleted subgraphs, and a notion of vertex centrality. Discrete Math. 310 (4), 911–921.
- Kirkland, Steve (2010). Column sums and the conditioning of the stationary distribution for a stochastic matrix. Oper. Matrices 4 (3), 431–443.
- Kirkland, Steve (2010). Fastest expected time to mixing for a Markov chain on a directed graph. Linear Algebra Appl. 433 (11-12), 1988–1996.
- Oliveira, Carla Silva; de Lima, Leonardo Silva; de Abreu, Nair Maria Maia and Kirkland, Steve (2010).Bounds on the Q-spread of a graph. Linear Algebra Appl. 432 (9), 2342–2351.
- Akelbek, Mahmud and Kirkland, Steve (2009). Coefficients of ergodicity and the scrambling index.Linear Algebra Appl. 430 (4), 1111–1130.
- Akelbek, Mahmud and Kirkland, Steve (2009). Primitive digraphs with the largest scrambling index.Linear Algebra Appl. 430 (4), 1099–1110.
- de Freitas, Maria Aguieiras A.; Del-Vecchio, Renata R. and de Abreu, Nair M. M. and Kirkland, Steve. On Q-spectral integral variation. In LAGOS’09—V Latin-American Algorithms, Graphs and Optimization Symposium 203–208. Elsevier Sci. B. V., Amsterdam, 2009.
- Kirkland, Stephen J. and Neumann, Michael (2009). The case of equality in the Dobrushin-Deutsch-Zenger bound. Linear Algebra Appl. 431 (12), 2373–2394.
- Kirkland, Steve (2009). A cycle-based bound for subdominant eigenvalues of stochastic matrices.Linear Multilinear Algebra 57 (3), 247–266.
- Kirkland, Steve (2009). Near threshold graphs. Electron. J. Combin. 16 (1), Research Paper 42, 20.
- Kirkland, Steve (2009). Subdominant eigenvalues for stochastic matrices with given column sums.Electron. J. Linear Algebra 18, 784–800.
- Tifenbach, R. M. and Kirkland, S. J. (2009). Directed intervals and the dual of a graph. Linear Algebra Appl. 431 (5-7), 792–807.
- Kirkland, Stephen J.; Neumann, Michael and Sze, Nung-Sing (2008). On optimal condition numbers for Markov chains. Numer. Math. 110 (4), 521–537.
- Kirkland, Steve (2008). Laplacian integral graphs with maximum degree 3. Electron. J. Combin. 15 (1), Research Paper 120, 42.
- Akbari, S. and Kirkland, S. J. (2007). On unimodular graphs. Linear Algebra Appl. 421 (1), 3–15.
- Bhatia, Rajendra; Guralnick, Robert and Kirkland, Steve and Wolkowicz, Henry (2007). Preface to the 12th ILAS Conference Proceedings, Regina 2005. Linear Algebra Appl. 421 (1), 1–2. Held in Regina, SK, June 26–29, 2005
- Kirkland, S. J.; Neumann, Michael and Xu, Jianhong (2007). Transition matrices for well-conditioned Markov chains. Linear Algebra Appl. 424 (1), 118–131.
- Kirkland, Steve (2007). A note on a distance bound using eigenvalues of the normalized Laplacian matrix. Electron. J. Linear Algebra 16, 204–207.
- Kirkland, Steve (2007). Constructably Laplacian integral graphs. Linear Algebra Appl. 423 (1), 3–21.
- Ipsen, Ilse C. F. and Kirkland, Steve (2006). Convergence analysis of a PageRank updating algorithm by Langville and Meyer. SIAM J. Matrix Anal. Appl. 27 (4), 952–967.
- Kirkland, S. (2006). Conditioning of the entries in the stationary vector of a Google-type matrix. Linear Algebra Appl. 418 (2-3), 665–681.
- Kirkland, Stephen; Li, Chi-Kwong and Schreiber, Sebastian J. (2006). On the evolution of dispersal in patchy landscapes. SIAM J. Appl. Math. 66 (4), 1366–1382.
- Kirkland, Steve (2006). Limit points for normalized Laplacian eigenvalues. Electron. J. Linear Algebra 15, 337–344.
- Bapat, R.; Kirkland, S. J. and Neumann, M. (2005). On distance matrices and Laplacians. Linear Algebra Appl. 401, 193–209.
- Brualdi, Richard A. and Kirkland, Stephen (2005). Aztec diamonds and digraphs, and Hankel determinants of Schröder numbers. J. Combin. Theory Ser. B 94 (2), 334–351.
- Dellnitz, Michael; Kirkland, Steve and Neumann, Michael and Schuette, Christof (2005). Preface [Special issue on matrices and mathematical biology]. Linear Algebra Appl. 398, 1–2.
- Fallat, Shaun M.; Kirkland, Stephen J.; Molitierno, Jason J. and Neumann, M. (2005). On graphs whose Laplacian matrices have distinct integer eigenvalues. J. Graph Theory 50 (2), 162–174.
- Kirkland, S.; McDonald, J. J. and Olesky, D. D. and Tsatsomeros, M. J. (2005). Preface [Special issue in honor of Pauline van den Driessche]. Linear Algebra Appl. 409, 1–12.
- Kirkland, Steve (2005). Completion of Laplacian integral graphs via edge addition. Discrete Math. 295(1-3), 75–90.
- Kirkland, Steve (2005). Sensitivity of the stable distribution vector for a size-classified population model. Linear Algebra Appl. 398, 3–23.
- Kirkland, Steve; Shader, Bryan L. and van den Driessche, Pauline (2005). Preface [Directions in Combinatorial Matrix Theory Workshop]. Electron. J. Linear Algebra 14, 1. Held in Banff, AB, May 7–8, 2004
- Kirkland, S. (2004/05). Girth and subdominant eigenvalues for stochastic matrices. Electron. J. Linear Algebra 12, 25–41.
- Kirkland, S. (2004). A combinatorial approach to the conditioning of a single entry in the stationary distribution for a Markov chain. Electron. J. Linear Algebra 11, 168–179.
- Kirkland, S. (2004). Digraph-based conditioning for Markov chains. Linear Algebra Appl. 385, 81–93.
- Kirkland, S. J. and Neumann, M. (2004). On algebraic connectivity as a function of an edge weight.Linear Multilinear Algebra 52 (1), 17–33.
- Kirkland, S. J.; Neumann, M. and Xu, J. (2004). Convexity and elasticity of the growth rate in size-classified population models. SIAM J. Matrix Anal. Appl. 26 (1), 170–185.
- Kirkland, Steve (2004). A characterization of spectral integral variation in two places for Laplacian matrices. Linear Multilinear Algebra 52 (2), 79–98.
- Beasley, LeRoy B. and Kirkland, Steve (2003). A note on k-primitive directed graphs. Linear Algebra Appl. 373, 67–74. Special issue on the Combinatorial Matrix Theory Conference (Pohang, 2002)
- Fallat, Shaun M.; Kirkland, Steve and Pati, Sukanta (2003). Maximizing algebraic connectivity over unicyclic graphs. Linear Multilinear Algebra 51 (3), 221–241.
- Fallat, Shaun M.; Kirkland, Steve and Pati, Sukanta (2003). On graphs with algebraic connectivity equal to minimum edge density. Linear Algebra Appl. 373, 31–50. Special issue on the Combinatorial Matrix Theory Conference (Pohang, 2002)
- Hemasinha, Rohan; Weaver, James R. and Kirkland, Stephen J. and Stuart, Jeffrey L. (2003). Properties of the Brualdi-Li tournament matrix. Linear Algebra Appl. 361, 63–73. Ninth Conference of the International Linear Algebra Society (Haifa, 2001)
- Kirkland, S. (2003). An upper bound on the Perron value of an almost regular tournament matrix.Linear Algebra Appl. 361, 7–22. Ninth Conference of the International Linear Algebra Society (Haifa, 2001)
- Kirkland, Stephen J.. Digraph-based conditioning for Markov chains. In Positive systems (Rome, 2003)215–216. Springer, Berlin, 2003.
- Kirkland, Steve (2003). A note on limit points for algebraic connectivity. Linear Algebra Appl. 373, 5–11. Special issue on the Combinatorial Matrix Theory Conference (Pohang, 2002)
- Kirkland, Steve (2003). Conditioning properties of the stationary distribution for a Markov chain.Electron. J. Linear Algebra 10, 1–15.
- Fallat, Shaun M.; Kirkland, Steve and Pati, Sukanta (2002). Minimizing algebraic connectivity over connected graphs with fixed girth. Discrete Math. 254 (1-3), 115–142.
- Kirkland, S. (2002). On a question concerning condition numbers for Markov chains. SIAM J. Matrix Anal. Appl. 23 (4), 1109–1119.
- Kirkland, S. J.; Neumann, M.; Ormes, N. and Xu, J. (2002). On the elasticity of the Perron root of a nonnegative matrix. SIAM J. Matrix Anal. Appl. 24 (2), 454–464.
- Kirkland, Stephen J.; Molitierno, Jason J.; Neumann, Michael and Shader, Bryan L. (2002). On graphs with equal algebraic and vertex connectivity. Linear Algebra Appl. 341, 45–56. Special issue dedicated to Professor T. Ando
- Kirkland, Steve and Pati, Sukanta (2002). On vertex connectivity and absolute algebraic connectivity for graphs. Linear Multilinear Algebra 50 (3), 253–284.
- Bapat, R. B.; Kirkland, S. J. and Pati, S. (2001). The perturbed Laplacian matrix of a graph. Linear and Multilinear Algebra 49 (3), 219–242.
- Gregory, David A.; Hershkowitz, Daniel and Kirkland, Stephen J. (2001). The spread of the spectrum of a graph. In Proceedings of the Eighth Conference of the International Linear Algebra Society (Barcelona, 1999) pp. 23–35.
- Kirkland, S. (2001). An upper bound on algebraic connectivity of graphs with many cutpoints.Electron. J. Linear Algebra 8, 94–109.
- Kirkland, S.; Psarrakos, P. J. and Tsatsomeros, M. J. (2001). On the location of the spectrum of hypertournament matrices. Linear Algebra Appl. 323 (1-3), 37–49.
- Kirkland, Stephen J.; Molitierno, Jason J. and Neumann, Michael (2001). The sharpness of a lower bound on the algebraic connectivity for maximal graphs. Linear and Multilinear Algebra 48 (3), 237–246.
- Kirkland, Stephen J.; Neumann, Michael and Xu, Jianhong (2001). A divide and conquer approach to computing the mean first passage matrix for Markov chains via Perron complement reductions.Numer. Linear Algebra Appl. 8 (5), 287–295.
- Eschenbach, Carolyn; Hall, Frank; Hemasinha, Rohan and Kirkland, Stephen; Li, Zhongshan; Shader, Bryan and Stuart, Jeffrey and Weaver, James (2000). Properties of tournaments among well-matched players. Amer. Math. Monthly 107 (10), 881–892.
- Eschenbach, Carolyn; Hall, Frank; Hemasinha, Rohan and Kirkland, Stephen J.; Li, Zhongshan; Shader, Bryan L. and Stuart, Jeffrey L. and Weaver, James R. (2000). On almost regular tournament matrices.Linear Algebra Appl. 306 (1-3), 103–121.
- Kirkland, S.; Olesky, D. D. and van den Driessche, P. (2000). Digraphs with large exponent. Electron. J. Linear Algebra 7, 30–40.
- Kirkland, Stephen J. and Neumann, Michael (2000). Extremal first passage times for trees. Linear and Multilinear Algebra 48 (1), 21–33.
- Kirkland, Stephen J. and Neumann, Michael (2000). Regular Markov chains for which the transition matrix has large exponent. Linear Algebra Appl. 316 (1-3), 45–65. Conference Celebrating the 60th Birthday of Robert J. Plemmons (Winston-Salem, NC, 1999)
- Kirkland, Steve (2000). A bound on the algebraic connectivity of a graph in terms of the number of cutpoints. Linear and Multilinear Algebra 47 (1), 99–103.
- Kirkland, Steve (2000). On the sequence of powers of a stochastic matrix with large exponent. Linear Algebra Appl. 310 (1-3), 109–122.
- Gregory, David A. and Kirkland, Stephen J. (1999). Singular values of tournament matrices. Electron. J. Linear Algebra 5, 39–52.
- Kirkland, Stephen J. and Neumann, Michael (1999). Cutpoint decoupling and first passage times for random walks on graphs. SIAM J. Matrix Anal. Appl. 20 (4), 860–870.
- Kirkland, Stephen J. and Neumann, Michael (1999). On group inverses of M-matrices with uniform diagonal entries. Linear Algebra Appl. 296 (1-3), 153–170.
- Kirkland, Steve (1999). Constructions for type I trees with nonisomorphic Perron branches.Czechoslovak Math. J. 49(124) (3), 617–632.
- Kirkland, Steve (1999). Perron vector ordering for a subclass of tournament matrices. Linear Algebra Appl. 291 (1-3), 151–166.
- Stuart, Jeffrey; Eschenbach, Carolyn and Kirkland, Steve (1999). Irreducible sign k-potent sign pattern matrices. Linear Algebra Appl. 294 (1-3), 85–92.
- Fallat, Shaun and Kirkland, Steve (1998). Extremizing algebraic connectivity subject to graph-theoretic constraints. Electron. J. Linear Algebra 3, 48–74.
- Kirkland, Stephen J. and Neumann, Michael (1998). The M-matrix group generalized inverse problem for weighted trees. SIAM J. Matrix Anal. Appl. 19 (1), 226–234.
- Kirkland, Stephen J.; Neumann, Michael and Shader, Bryan L. (1998). Applications of Paz’s inequality to perturbation bounds for Markov chains. Linear Algebra Appl. 268, 183–196.
- Kirkland, Stephen J.; Neumann, Michael and Shader, Bryan L. (1998). Bounds on the subdominant eigenvalue involving group inverses with applications to graphs. Czechoslovak Math. J. 48(123) (1), 1–20.
- Kirkland, Stephen J.; Neumann, Michael and Shader, Bryan L. (1998). On a bound on algebraic connectivity: the case of equality. Czechoslovak Math. J. 48(123) (1), 65–76.
- Kirkland, Steve and Fallat, Shaun (1998). Perron components and algebraic connectivity for weighted graphs. Linear and Multilinear Algebra 44 (2), 131–148.
- Ta ̧sçi, Dursun and Kirkland, Steve (1998). A sequence of upper bounds for the Perron root of a nonnegative matrix. Linear Algebra Appl. 273, 23–28.
- Beasley, LeRoy B. and Kirkland, Steve (1997). On the exponent of a primitive matrix containing a primitive submatrix. Linear Algebra Appl. 261, 195–205.
- Dedó, Ernesto; Zagaglia Salvi, Norma and Kirkland, Stephen J. (1997). A particular class of bigraphs.Ars Combin. 45, 13–28.
- Kirkland, Stephen J.; Neumann, Michael and Shader, Bryan L. (1997). Distances in weighted trees and group inverse of Laplacian matrices. SIAM J. Matrix Anal. Appl. 18 (4), 827–841.
- Kirkland, Steve (1997). A note on Perron vectors for almost regular tournament matrices. Linear Algebra Appl. 266, 43–47.
- Kirkland, Steve (1997). A note on the eigenvalues of a primitive matrix with large exponent. Linear Algebra Appl. 253, 103–112.
- Kirkland, Steve (1997). Perron vector bounds for a tournament matrix with applications to a conjecture of Brualdi and Li. Linear Algebra Appl. 262, 209–227.
- Kirkland, Steve and Neumann, Michael (1997). Algebraic connectivity of weighted trees under perturbation. Linear and Multilinear Algebra 42 (3), 187–203.
- Chen, Yonghong; Kirkland, Stephen J. and Neumann, Michael (1996). Nonnegative alternating circulants leading to M-matrix group inverses. Linear Algebra Appl. 233, 81–97.
- Kirkland, S. J.; McDonald, J. J. and Tsatsomeros, M. J. (1996). Sign-patterns which require a positive eigenvalue. Linear and Multilinear Algebra 41 (3), 199–210.
- Kirkland, Steve (1996). A note on the sequence of Brualdi-Li matrices. Linear Algebra Appl. 248, 233–240.
- Kirkland, Steve (1996). On the minimum Perron value for an irreducible tournament matrix. Linear Algebra Appl. 244, 277–304.
- Kirkland, Steve; Neumann, Michael and Shader, Bryan L. (1996). Characteristic vertices of weighted trees via Perron values. Linear and Multilinear Algebra 40 (4), 311–325.
- Kirkland, Steve and Pullman, Norman J. (1996). The polytope of generalized tournament matrices with a common integral score vector. Ars Combin. 44, 3–22.
- Beasley, LeRoy B.; Kirkland, Stephen J. and Shader, Bryan L. (1995). Rank comparisons. Linear Algebra Appl. 221, 171–188.
- Chen, Yonghong; Kirkland, Stephen J. and Neumann, Michael (1995). Group generalized inverses of M-matrices associated with periodic and nonperiodic Jacobi matrices. Linear and Multilinear Algebra 39 (4), 325–340.
- Gregory, D. A.; Kirkland, S. J. and Pullman, N. J. (1995). A bound on the exponent of a primitive matrix using Boolean rank. In Proceedings of a Conference on Graphs and Matrices in honor of John Maybee (Boulder, CO, 1993) pp. 101–116.
- Kirkland, Stephen J. and Neumann, Michael (1995). Group inverses of M-matrices associated with nonnegative matrices having few eigenvalues. In Proceedings of the Workshop “Nonnegative Matrices, Applications and Generalizations” and the Eighth Haifa Matrix Theory Conference (Haifa, 1993)pp. 181–213.
- Kirkland, Steve (1995). Spectral radii of tournament matrices whose graphs are related by an arc reversal. In Proceedings of a Conference on Graphs and Matrices in honor of John Maybee (Boulder, CO, 1993) pp. 179–202.
- Kirkland, Steve (1995). The group inverse associated with an irreducible periodic nonnegative matrix.SIAM J. Matrix Anal. Appl. 16 (4), 1127–1134.
- Kirkland, Steve and Hartwig, Robert E. (1995). A convexity result for complex numbers with applications to nonnegative normal matrices. Linear Algebra Appl. 221, 195–204.
- Gregory, David A.; Pullman, Norman J. and Kirkland, Stephen J. (1994). On the dimension of the algebra generated by a Boolean matrix. Linear and Multilinear Algebra 38 (1-2), 131–144.
- Kirkland, Stephen J. and Neumann, Michael (1994). Convexity and concavity of the Perron root and vector of Leslie matrices with applications to a population model. SIAM J. Matrix Anal. Appl. 15 (4), 1092–1107.
- Kirkland, Stephen J. and Shader, Bryan L. (1994). Tournament matrices with extremal spectral properties. Linear Algebra Appl. 196, 1–17.
- Gregory, D. A.; Kirkland, S. and Pullman, N. J. (1993). Power convergent Boolean matrices. Linear Algebra Appl. 179, 105–117.
- Gregory, D. A.; Kirkland, S. J. and Shader, B. L. (1993). Pick’s inequality and tournaments. Linear Algebra Appl. 186, 15–36.
- Kirkland, Stephen and Pullman, Norman J. (1993). Linear operators preserving invariants of nonbinary Boolean matrices. Linear and Multilinear Algebra 33 (3-4), 295–300.
- Kirkland, Steve (1993). A reversal index for tournament matrices. Linear and Multilinear Algebra 34 (3-4), 343–351.
- Kirkland, Steve (1993). On the spectrum of a Leslie matrix with a near-periodic fecundity pattern.Linear Algebra Appl. 178, 261–279.
- Kirkland, Steve and Shader, Bryan L. (1993). On multipartite tournament matrices with constant team size. Linear and Multilinear Algebra 35 (1), 49–63.
- de Caen, D.; Gregory, D. A.; Kirkland, S. J. and Pullman, N. J. and Maybee, J. S. (1992). Algebraic multiplicity of the eigenvalues of a tournament matrix. Linear Algebra Appl. 169, 179–193.
- Gregory, D. A.; Kirkland, S. J. and Pullman, N. J. (1992). Row-stochastic matrices with a common left fixed vector. Linear Algebra Appl. 169, 131–149.
- Kirkland, Stephen and Pullman, Norman J. (1992). Boolean spectral theory. Linear Algebra Appl. 175, 177–190.
- Kirkland, Steve (1992). An eigenvalue region for Leslie matrices. SIAM J. Matrix Anal. Appl. 13 (2), 507–529.
- Kirkland, Steve (1991). Hypertournament matrices, score vectors and eigenvalues. Linear and Multilinear Algebra 30 (4), 261–274.
- Kirkland, Stephen James (1989). Spectral regions for Leslie matrices. ProQuest LLC, Ann Arbor, MI.