Stephen Kirkland

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Name: Stephen Kirkland

Position Title: Professor

Office Phone Number: (204)-474-8703

Research and Teaching Interests

matrix theory, graph theory, theory and applications of nonnegative matrices, combinatorial matrix theory, spectral graph theory

Current graduate students

Links

http://server.math.umanitoba.ca/~kirkland/

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.