Kirkland, Stephen Eigenvalues for stochastic matrices with a prescribed stationary distribution. (English) Zbl 07807936 Electron. J. Linear Algebra 39, 556-571 (2023). MSC: 15B51 15A18 05C50 PDFBibTeX XMLCite \textit{S. Kirkland}, Electron. J. Linear Algebra 39, 556--571 (2023; Zbl 07807936) Full Text: DOI
Chien, Mao-Ting; Kirkland, Steve; Li, Chi-Kwong; Nakazato, Hiroshi Numerical ranges of cyclic shift matrices. (English) Zbl 07757996 Linear Algebra Appl. 678, 268-294 (2023). MSC: 15A60 15A18 47A12 05B20 PDFBibTeX XMLCite \textit{M.-T. Chien} et al., Linear Algebra Appl. 678, 268--294 (2023; Zbl 07757996) Full Text: DOI arXiv
Kirkland, Steve; Monterde, Hermie; Plosker, Sarah Quantum state transfer between twins in weighted graphs. (English) Zbl 1525.05112 J. Algebr. Comb. 58, No. 3, 623-649 (2023). MSC: 05C50 15A18 05C22 81P45 PDFBibTeX XMLCite \textit{S. Kirkland} et al., J. Algebr. Comb. 58, No. 3, 623--649 (2023; Zbl 1525.05112) Full Text: DOI arXiv
Cole, Sam; Kirkland, Steve Clusters in Markov chains via singular vectors of Laplacian matrices. (English) Zbl 1504.60126 Linear Algebra Appl. 660, 1-39 (2023). MSC: 60J22 65C40 15B51 PDFBibTeX XMLCite \textit{S. Cole} and \textit{S. Kirkland}, Linear Algebra Appl. 660, 1--39 (2023; Zbl 1504.60126) Full Text: DOI arXiv
Kirkland, Steve; Monterde, Hermie Quantum walks on join graphs. arXiv:2312.06906 Preprint, arXiv:2312.06906 [quant-ph] (2023). MSC: 05C50 05C76 05C22 15A16 15A18 81P45 BibTeX Cite \textit{S. Kirkland} and \textit{H. Monterde}, ``Quantum walks on join graphs'', Preprint, arXiv:2312.06906 [quant-ph] (2023) Full Text: arXiv OA License
Kirkland, Stephen Completion Problems and Sparsity for Kemeny’s Constant. arXiv:2308.10259 Preprint, arXiv:2308.10259 [math.SP] (2023). MSC: 15B51 15A83 60J10 BibTeX Cite \textit{S. Kirkland}, ``Completion Problems and Sparsity for Kemeny's Constant'', Preprint, arXiv:2308.10259 [math.SP] (2023) Full Text: arXiv OA License
Joshi, Priyanka; Kirkland, Stephen; Smigoc, Helena Powers of Karpelevic arcs and their Sparsest Realising matrices. arXiv:2306.05039 Preprint, arXiv:2306.05039 [math.CO] (2023). MSC: 15A18 15B51 60J10 BibTeX Cite \textit{P. Joshi} et al., ``Powers of Karpelevic arcs and their Sparsest Realising matrices'', Preprint, arXiv:2306.05039 [math.CO] (2023) Full Text: arXiv OA License
Kim, Sooyeong; Kirkland, Steve Gram mates, sign changes in singular values, and isomorphism. arXiv:2304.07868 Preprint, arXiv:2304.07868 [math.CO] (2023). MSC: 15A18 91D30 BibTeX Cite \textit{S. Kim} and \textit{S. Kirkland}, ``Gram mates, sign changes in singular values, and isomorphism'', Preprint, arXiv:2304.07868 [math.CO] (2023) Full Text: arXiv OA License
Kim, Sooyeong; Kirkland, Steve Gram mates, sign changes in singular values, and isomorphism. (English) Zbl 1486.91064 Linear Algebra Appl. 644, 108-148 (2022). MSC: 91D30 15A18 PDFBibTeX XMLCite \textit{S. Kim} and \textit{S. Kirkland}, Linear Algebra Appl. 644, 108--148 (2022; Zbl 1486.91064) Full Text: DOI
Kirkland, Stephen; Šmigoc, Helena Stochastic matrices realising the boundary of the Karpelevič region. (English) Zbl 1485.15039 Linear Algebra Appl. 635, 116-138 (2022). Reviewer: Pietro Paparella (Bothell) MSC: 15B51 15A18 60J10 PDFBibTeX XMLCite \textit{S. Kirkland} and \textit{H. Šmigoc}, Linear Algebra Appl. 635, 116--138 (2022; Zbl 1485.15039) Full Text: DOI arXiv
Kim, Sooyeong; Kirkland, Steve Fiedler vectors with unbalanced sign patterns. (English) Zbl 07442475 Czech. Math. J. 71, No. 4, 1071-1098 (2021). Reviewer: Carlos M. da Fonseca (Safat) MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{S. Kim} and \textit{S. Kirkland}, Czech. Math. J. 71, No. 4, 1071--1098 (2021; Zbl 07442475) Full Text: DOI arXiv
Kirkland, Stephen; Shuai, Zhisheng; van den Driessche, P.; Wang, Xueying Impact of varying community networks on disease invasion. (English) Zbl 1467.92209 SIAM J. Appl. Math. 81, No. 3, 1166-1189 (2021). Reviewer: Yilun Shang (Newcastle) MSC: 92D30 15A09 15A18 PDFBibTeX XMLCite \textit{S. Kirkland} et al., SIAM J. Appl. Math. 81, No. 3, 1166--1189 (2021; Zbl 1467.92209) Full Text: DOI
Chan, Ada; Fallat, Shaun; Kirkland, Steve; Lin, Jephian C.-H.; Nasserasr, Shahla; Plosker, Sarah Complex Hadamard diagonalisable graphs. (English) Zbl 1446.05055 Linear Algebra Appl. 605, 158-179 (2020). MSC: 05C50 05C76 05C25 05B20 15A18 81P45 PDFBibTeX XMLCite \textit{A. Chan} et al., Linear Algebra Appl. 605, 158--179 (2020; Zbl 1446.05055) Full Text: DOI arXiv
Kirkland, Stephen; Laffey, Thomas; Šmigoc, Helena The Karpelevič region revisited. (English) Zbl 1445.15022 J. Math. Anal. Appl. 490, No. 2, Article ID 124332, 16 p. (2020). MSC: 15B51 15A18 PDFBibTeX XMLCite \textit{S. Kirkland} et al., J. Math. Anal. Appl. 490, No. 2, Article ID 124332, 16 p. (2020; Zbl 1445.15022) Full Text: DOI arXiv
Kirkland, Steve; Zhang, Xiaohong Fractional revival of threshold graphs under Laplacian dynamics. (English) Zbl 1433.05198 Discuss. Math., Graph Theory 40, No. 2, 585-600 (2020). MSC: 05C50 15A18 81P45 PDFBibTeX XMLCite \textit{S. Kirkland} and \textit{X. Zhang}, Discuss. Math., Graph Theory 40, No. 2, 585--600 (2020; Zbl 1433.05198) Full Text: DOI
Breen, Jane; Kirkland, Steve A structured condition number for Kemeny’s constant. (English) Zbl 1428.60107 SIAM J. Matrix Anal. Appl. 40, No. 4, 1555-1578 (2019). MSC: 60J22 15B51 15A09 60J10 PDFBibTeX XMLCite \textit{J. Breen} and \textit{S. Kirkland}, SIAM J. Matrix Anal. Appl. 40, No. 4, 1555--1578 (2019; Zbl 1428.60107) Full Text: DOI
Hu, Yuxiang; Kirkland, Steve Complete multipartite graphs and Braess edges. (English) Zbl 1419.05196 Linear Algebra Appl. 579, 284-301 (2019). MSC: 05C81 05C50 15B51 60J10 PDFBibTeX XMLCite \textit{Y. Hu} and \textit{S. Kirkland}, Linear Algebra Appl. 579, 284--301 (2019; Zbl 1419.05196) Full Text: DOI Link
Johnson, Brad C.; Kirkland, Steve Estimating random walk centrality in networks. (English) Zbl 1507.62086 Comput. Stat. Data Anal. 138, 190-200 (2019). MSC: 62-08 15B51 60J10 PDFBibTeX XMLCite \textit{B. C. Johnson} and \textit{S. Kirkland}, Comput. Stat. Data Anal. 138, 190--200 (2019; Zbl 1507.62086) Full Text: DOI Link
Kirkland, Steve; McLaren, Darian; Pereira, Rajesh; Plosker, Sarah; Zhang, Xiaohong Perfect quantum state transfer in weighted paths with potentials (loops) using orthogonal polynomials. (English) Zbl 1411.81073 Linear Multilinear Algebra 67, No. 5, 1043-1061 (2019). MSC: 81P45 05C22 05C50 15A18 42C05 PDFBibTeX XMLCite \textit{S. Kirkland} et al., Linear Multilinear Algebra 67, No. 5, 1043--1061 (2019; Zbl 1411.81073) Full Text: DOI arXiv
Kirkland, Steve Two-mode networks exhibiting data loss. (English) Zbl 1465.91081 J. Complex Netw. 6, No. 2, 297-316 (2018). Reviewer: Yilun Shang (Newcastle) MSC: 91D30 15A04 PDFBibTeX XMLCite \textit{S. Kirkland}, J. Complex Netw. 6, No. 2, 297--316 (2018; Zbl 1465.91081) Full Text: DOI
Kirkland, Stephen The group inverse of the Laplacian matrix of a graph. (English) Zbl 1400.05146 Encinas, Andrés M. (ed.) et al., Combinatorial matrix theory. Cham: Birkhäuser (ISBN 978-3-319-70952-9/pbk; 978-3-319-70953-6/ebook). Advanced Courses in Mathematics – CRM Barcelona, 131-171 (2018). MSC: 05C50 05C22 15A09 PDFBibTeX XMLCite \textit{S. Kirkland}, in: Combinatorial matrix theory. Cham: Birkhäuser. 131--171 (2018; Zbl 1400.05146) Full Text: DOI
Breen, Jane; Crisostomi, Emanuele; Faizrahnemoon, Mahsa; Kirkland, Steve; Shorten, Robert Clustering behaviour in Markov chains with eigenvalues close to one. (English) Zbl 1396.15029 Linear Algebra Appl. 555, 163-185 (2018). MSC: 15B51 60J10 15A18 PDFBibTeX XMLCite \textit{J. Breen} et al., Linear Algebra Appl. 555, 163--185 (2018; Zbl 1396.15029) Full Text: DOI
Encinas, Andrés M. (ed.); Mitjana, Margarida (ed.) [Brualdi, Richard A.; Carmona, Ángeles; van den Driessche, P.; Kirkland, Stephen; Stevanović, Dragan] Combinatorial matrix theory. (English) Zbl 1396.05002 Advanced Courses in Mathematics – CRM Barcelona. Cham: Birkhäuser (ISBN 978-3-319-70952-9/pbk; 978-3-319-70953-6/ebook). xi, 217 p. (2018). MSC: 05-06 05B20 05C50 15B99 00B25 PDFBibTeX XMLCite \textit{A. M. Encinas} (ed.) and \textit{M. Mitjana} (ed.), Combinatorial matrix theory. Cham: Birkhäuser (2018; Zbl 1396.05002) Full Text: DOI
Kirkland, Steve; Plosker, Sarah; Zhang, Xiaohong Switching and partially switching the hypercube while maintaining perfect state transfer. arXiv:1802.01531 Preprint, arXiv:1802.01531 [math.CO] (2018). MSC: 05C50 15A18 81Q10 BibTeX Cite \textit{S. Kirkland} et al., ``Switching and partially switching the hypercube while maintaining perfect state transfer'', Preprint, arXiv:1802.01531 [math.CO] (2018) Full Text: arXiv OA License
Johnston, Nathaniel; Kirkland, Steve; Plosker, Sarah; Storey, Rebecca; Zhang, Xiaohong Perfect quantum state transfer using Hadamard diagonalizable graphs. (English) Zbl 1370.05137 Linear Algebra Appl. 531, 375-398 (2017). MSC: 05C50 05C76 15A18 81P45 PDFBibTeX XMLCite \textit{N. Johnston} et al., Linear Algebra Appl. 531, 375--398 (2017; Zbl 1370.05137) Full Text: DOI arXiv
Breen, Jane; Kirkland, Steve Minimising the largest mean first passage time of a Markov chain: the influence of directed graphs. (English) Zbl 1359.15028 Linear Algebra Appl. 520, 306-334 (2017). MSC: 15B51 05C20 05C50 60J10 PDFBibTeX XMLCite \textit{J. Breen} and \textit{S. Kirkland}, Linear Algebra Appl. 520, 306--334 (2017; Zbl 1359.15028) Full Text: DOI
Kirkland, Steve Random walk centrality and a partition of Kemeny’s constant. (English) Zbl 1424.15061 Czech. Math. J. 66, No. 3, 757-775 (2016). Reviewer: Irene Paniello (Pamplona) MSC: 15B51 60J10 60J35 60J27 PDFBibTeX XMLCite \textit{S. Kirkland}, Czech. Math. J. 66, No. 3, 757--775 (2016; Zbl 1424.15061) Full Text: DOI Link
Kirkland, Steve; Zeng, Ze Kemeny’s constant and an analogue of Braess’ paradox for trees. (English) Zbl 1346.05166 Electron. J. Linear Algebra 31, 444-464 (2016). MSC: 05C50 15B51 60J10 PDFBibTeX XMLCite \textit{S. Kirkland} and \textit{Z. Zeng}, Electron. J. Linear Algebra 31, 444--464 (2016; Zbl 1346.05166) Full Text: DOI
Kirkland, Steve; Qiao, Pu; Zhan, Xingzhi Algebraically positive matrices. (English) Zbl 1338.15065 Linear Algebra Appl. 504, 14-26 (2016). MSC: 15B48 15B35 PDFBibTeX XMLCite \textit{S. Kirkland} et al., Linear Algebra Appl. 504, 14--26 (2016; Zbl 1338.15065) Full Text: DOI
da Fonseca, Carlos M.; Huynh, Dinh Van; Kirkland, Steve; Vu Kim Tuan A panorama of mathematics: pure and applied. Conference mathematics and its applications, Kuwait University, Safat, Kuwait, November 14–17, 2014. (English) Zbl 1336.00120 Contemporary Mathematics 658. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1668-3/pbk; 978-1-4704-2902-7/ebook). viii, 279 p. (2016). MSC: 00B25 03-06 15-06 35-06 49-06 65-06 83-06 PDFBibTeX XMLCite \textit{C. M. da Fonseca} et al., A panorama of mathematics: pure and applied. Conference mathematics and its applications, Kuwait University, Safat, Kuwait, November 14--17, 2014. Providence, RI: American Mathematical Society (AMS) (2016; Zbl 1336.00120) Full Text: DOI
Bhatia, Rajendra (ed.); Kirkland, Steve (ed.); Prasad, K. Manjunatha (ed.); Puntanen, Simo (ed.) Preface: Special volume of Electronic Journal of Linear Algebra dedicated to Professor Ravindra B. Bapat. (English) Zbl 1329.00185 Electron. J. Linear Algebra 29, 1-2 (2015). MSC: 00B25 15-06 00B30 PDFBibTeX XMLCite \textit{R. Bhatia} (ed.) et al., Electron. J. Linear Algebra 29, 1--2 (2015; Zbl 1329.00185) Full Text: DOI
Breen, Jane; Kirkland, Steve Stationary vectors of stochastic matrices subject to combinatorial constraints. (English) Zbl 1321.15054 Electron. J. Linear Algebra 28, 25-53 (2015). MSC: 15B51 15A18 05C50 05C20 PDFBibTeX XMLCite \textit{J. Breen} and \textit{S. Kirkland}, Electron. J. Linear Algebra 28, 25--53 (2015; Zbl 1321.15054) Full Text: DOI
Kirkland, Steve; Rocha, Israel; Trevisan, Vilmar Algebraic connectivity of \(k\)-connected graphs. (English) Zbl 1363.05141 Czech. Math. J. 65, No. 1, 219-236 (2015). MSC: 05C40 05C50 15A18 PDFBibTeX XMLCite \textit{S. Kirkland} et al., Czech. Math. J. 65, No. 1, 219--236 (2015; Zbl 1363.05141) Full Text: DOI Link
Kirkland, Steve Sensitivity analysis of perfect state transfer in quantum spin networks. (English) Zbl 1307.05140 Linear Algebra Appl. 472, 1-30 (2015). MSC: 05C50 05C22 05C82 15A18 15A16 PDFBibTeX XMLCite \textit{S. Kirkland}, Linear Algebra Appl. 472, 1--30 (2015; Zbl 1307.05140) Full Text: DOI
Benek Gursoy, Buket; Kirkland, Steve; Mason, Oliver; Sergeev, Sergeĭ The Markov chain tree theorem in commutative semirings and the state reduction algorithm in commutative semifields. (English) Zbl 1307.15053 Linear Algebra Appl. 468, 184-196 (2015). MSC: 15B51 16Y60 12K10 15A80 60J10 05C85 15A18 PDFBibTeX XMLCite \textit{B. Benek Gursoy} et al., Linear Algebra Appl. 468, 184--196 (2015; Zbl 1307.15053) Full Text: DOI arXiv
Kirkland, Steve On the Kemeny constant and stationary distribution vector for a Markov chain. (English) Zbl 1326.15055 Electron. J. Linear Algebra 27, 354-372 (2014). MSC: 15B51 60J10 15A42 PDFBibTeX XMLCite \textit{S. Kirkland}, Electron. J. Linear Algebra 27, 354--372 (2014; Zbl 1326.15055) Full Text: DOI Link
Kirkland, Steve Load balancing for Markov chains with a specified directed graph. (English) Zbl 1317.15033 Linear Multilinear Algebra 62, No. 11, 1491-1508 (2014). Reviewer: Huang Wenxue (Scarborough) MSC: 15B51 15A18 15B48 60J10 05C20 05C50 PDFBibTeX XMLCite \textit{S. Kirkland}, Linear Multilinear Algebra 62, No. 11, 1491--1508 (2014; Zbl 1317.15033) Full Text: DOI
Kirkland, Steve The minimum coefficient of ergodicity for a Markov chain with a given directed graph. (English) Zbl 1291.15084 Linear Algebra Appl. 447, 139-154 (2014). MSC: 15B51 05C50 60J10 90C05 62K10 PDFBibTeX XMLCite \textit{S. Kirkland}, Linear Algebra Appl. 447, 139--154 (2014; Zbl 1291.15084) Full Text: DOI
Goldberg, Felix; Kirkland, Steve On the sign patterns of the smallest signless Laplacian eigenvector. (English) Zbl 1282.05114 Linear Algebra Appl. 443, 66-85 (2014). MSC: 05C50 15A18 15B48 PDFBibTeX XMLCite \textit{F. Goldberg} and \textit{S. Kirkland}, Linear Algebra Appl. 443, 66--85 (2014; Zbl 1282.05114) Full Text: DOI arXiv
Gursoy, Buket Benek; Kirkland, Steve; Mason, Oliver; Sergeev, Sergei On the Markov chain tree theorem in the max algebra. (English) Zbl 1283.15080 Electron. J. Linear Algebra 26, 15-27 (2013). MSC: 15A80 05C05 05C50 15A18 PDFBibTeX XMLCite \textit{B. B. Gursoy} et al., Electron. J. Linear Algebra 26, 15--27 (2013; Zbl 1283.15080) Full Text: DOI arXiv Link Link
Bapat, Ravindra B. (ed.); Kirkland, Steve J. (ed.); Prasad, K. Manjunatha (ed.); Puntanen, Simo (ed.) Combinatorial matrix theory and generalized inverses of matrices. (English) Zbl 1261.15001 New Delhi: Springer (ISBN 978-81-322-1052-8/hbk; 978-81-322-1053-5/ebook). xvii, 277 p. (2013). MSC: 15-06 15A09 15Bxx 05C50 05B20 00B25 PDFBibTeX XMLCite \textit{R. B. Bapat} (ed.) et al., Combinatorial matrix theory and generalized inverses of matrices. New Delhi: Springer (2013; Zbl 1261.15001) Full Text: DOI
Kirkland, Stephen J.; Neumann, Michael Group inverses of M-matrices and their applications. (English) Zbl 1267.15004 Boca Raton, FL: CRC Press (ISBN 978-1-4398-8858-2/hbk). xv, 316 p. (2013). Reviewer: Nestor Thome (Valencia) MSC: 15A09 15B52 15B51 60G07 15-02 15B48 60J10 92D25 PDFBibTeX XMLCite \textit{S. J. Kirkland} and \textit{M. Neumann}, Group inverses of M-matrices and their applications. Boca Raton, FL: CRC Press (2013; Zbl 1267.15004)
Dealba, Luz M.; Grout, Jason; Kim, In-Jae; Kirkland, Steve; Mcdonald, Judith J.; Yielding, Amy Minimum rank of powers of trees. (English) Zbl 1252.05117 Electron. J. Linear Algebra 23, 151-163 (2012). MSC: 05C50 05C05 15A03 PDFBibTeX XMLCite \textit{L. M. Dealba} et al., Electron. J. Linear Algebra 23, 151--163 (2012; Zbl 1252.05117) Full Text: DOI Link
Zappavigna, A.; Colaneri, P.; Kirkland, S.; Shorten, R. Essentially negative news about positive systems. (English) Zbl 1238.93049 Linear Algebra Appl. 436, No. 9, 3425-3442 (2012). MSC: 93C15 93B40 93C30 15B48 93D99 PDFBibTeX XMLCite \textit{A. Zappavigna} et al., Linear Algebra Appl. 436, No. 9, 3425--3442 (2012; Zbl 1238.93049) Full Text: DOI
Kirkland, Steve Sign patterns for eigenmatrices of nonnegative matrices. (English) Zbl 1239.15011 Linear Multilinear Algebra 59, No. 9, 999-1018 (2011). Reviewer: Ludwig Elsner (Bielefeld) MSC: 15A18 15B48 15B35 05C50 PDFBibTeX XMLCite \textit{S. Kirkland}, Linear Multilinear Algebra 59, No. 9, 999--1018 (2011; Zbl 1239.15011) Full Text: DOI
Barik, S.; Fallat, S.; Kirkland, S. On Hadamard diagonalizable graphs. (English) Zbl 1221.05228 Linear Algebra Appl. 435, No. 8, 1885-1902 (2011). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{S. Barik} et al., Linear Algebra Appl. 435, No. 8, 1885--1902 (2011; Zbl 1221.05228) Full Text: DOI
Catral, M.; Kirkland, S. J.; Neumann, M.; Sze, N.-S. The Kemeny constant for finite homogeneous ergodic Markov chains. (English) Zbl 1203.65023 J. Sci. Comput. 45, No. 1-3, 151-166 (2010). MSC: 65C40 15B51 15B52 68M11 PDFBibTeX XMLCite \textit{M. Catral} et al., J. Sci. Comput. 45, No. 1--3, 151--166 (2010; Zbl 1203.65023) Full Text: DOI
Kirkland, Steve Fastest expected time to mixing for a Markov chain on a directed graph. (English) Zbl 1209.05111 Linear Algebra Appl. 433, No. 11-12, 1988-1996 (2010). MSC: 05C20 60J10 15A42 15B51 PDFBibTeX XMLCite \textit{S. Kirkland}, Linear Algebra Appl. 433, No. 11--12, 1988--1996 (2010; Zbl 1209.05111) Full Text: DOI Link
Kirkland, Steve Column sums and the conditioning of the stationary distribution for a stochastic matrix. (English) Zbl 1206.15025 Oper. Matrices 4, No. 3, 431-443 (2010). Reviewer: Krishnendu Gongopadhyay (Mohali) MSC: 15B51 60J10 15A12 PDFBibTeX XMLCite \textit{S. Kirkland}, Oper. Matrices 4, No. 3, 431--443 (2010; Zbl 1206.15025) Full Text: DOI Link
Cavers, Michael; Fallat, Shaun; Kirkland, Steve On the normalized Laplacian energy and general Randić index \(R_{-1}\) of graphs. (English) Zbl 1217.05138 Linear Algebra Appl. 433, No. 1, 172-190 (2010). MSC: 05C50 05C90 15A18 15A42 PDFBibTeX XMLCite \textit{M. Cavers} et al., Linear Algebra Appl. 433, No. 1, 172--190 (2010; Zbl 1217.05138) Full Text: DOI
Brualdi, Richard A.; Kirkland, Steve Totally nonnegative (0,1)-matrices. (English) Zbl 1217.05134 Linear Algebra Appl. 432, No. 7, 1650-1662 (2010). MSC: 05C50 05C20 15A18 15A42 15B48 PDFBibTeX XMLCite \textit{R. A. Brualdi} and \textit{S. Kirkland}, Linear Algebra Appl. 432, No. 7, 1650--1662 (2010; Zbl 1217.05134) Full Text: DOI
Kirkland, Stephen J. Subdominant eigenvalues for stochastic matrices with given column sums. (English) Zbl 1189.15041 Electron. J. Linear Algebra 18, 784-800 (2009). MSC: 15B51 15A42 60J10 05C50 PDFBibTeX XMLCite \textit{S. J. Kirkland}, Electron. J. Linear Algebra 18, 784--800 (2009; Zbl 1189.15041) Full Text: DOI EuDML EMIS Link
Kirkland, Stephen J.; Neumann, Michael The case of equality in the Dobrushin-Deutsch-Zenger bound. (English) Zbl 1181.15025 Linear Algebra Appl. 431, No. 12, 2373-2394 (2009). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15A42 60G50 60F05 15B51 15B48 PDFBibTeX XMLCite \textit{S. J. Kirkland} and \textit{M. Neumann}, Linear Algebra Appl. 431, No. 12, 2373--2394 (2009; Zbl 1181.15025) Full Text: DOI
Kirkland, Steve Near threshold graphs. (English) Zbl 1165.05331 Electron. J. Comb. 16, No. 1, Research Paper R42, 20 p. (2009). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{S. Kirkland}, Electron. J. Comb. 16, No. 1, Research Paper R42, 20 p. (2009; Zbl 1165.05331) Full Text: EuDML EMIS
Tifenbach, R. M.; Kirkland, S. J. Directed intervals and the dual of a graph. (English) Zbl 1226.05171 Linear Algebra Appl. 431, No. 5-7, 792-807 (2009). MSC: 05C50 05C70 15A09 PDFBibTeX XMLCite \textit{R. M. Tifenbach} and \textit{S. J. Kirkland}, Linear Algebra Appl. 431, No. 5--7, 792--807 (2009; Zbl 1226.05171) Full Text: DOI
Kirkland, Steve A cycle-based bound for subdominant eigenvalues of stochastic matrices. (English) Zbl 1168.15015 Linear Multilinear Algebra 57, No. 3, 247-266 (2009). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15A42 15B51 05C20 05C50 PDFBibTeX XMLCite \textit{S. Kirkland}, Linear Multilinear Algebra 57, No. 3, 247--266 (2009; Zbl 1168.15015) Full Text: DOI Link
Akelbek, Mahmud; Kirkland, Steve Coefficients of ergodicity and the scrambling index. (English) Zbl 1167.05030 Linear Algebra Appl. 430, No. 4, 1111-1130 (2009). Reviewer: Ali Reza Moghaddamfar (Tehran) MSC: 05C20 05C50 15B51 15A42 PDFBibTeX XMLCite \textit{M. Akelbek} and \textit{S. Kirkland}, Linear Algebra Appl. 430, No. 4, 1111--1130 (2009; Zbl 1167.05030) Full Text: DOI Link
Kirkland, Steve Laplacian integral graphs with maximum degree 3. (English) Zbl 1180.05063 Electron. J. Comb. 15, No. 1, Research Paper R120, 42 p. (2008). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{S. Kirkland}, Electron. J. Comb. 15, No. 1, Research Paper R120, 42 p. (2008; Zbl 1180.05063) Full Text: EuDML EMIS
Kirkland, Stephen J.; Neumann, Michael; Sze, Nung-Sing On optimal condition numbers for Markov chains. (English) Zbl 1160.60022 Numer. Math. 110, No. 4, 521-537 (2008). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 60J10 15B51 15A12 PDFBibTeX XMLCite \textit{S. J. Kirkland} et al., Numer. Math. 110, No. 4, 521--537 (2008; Zbl 1160.60022) Full Text: DOI
Kirkland, Steve A note on a distance bound using eigenvalues of the normalized Laplacian matrix. (English) Zbl 1142.05341 Electron. J. Linear Algebra 16, 204-207 (2007). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{S. Kirkland}, Electron. J. Linear Algebra 16, 204--207 (2007; Zbl 1142.05341) Full Text: DOI EuDML
Kirkland, S. J.; Neumann, Michael; Xu, Jianhong Transition matrices for well-conditioned Markov chains. (English) Zbl 1120.15017 Linear Algebra Appl. 424, No. 1, 118-131 (2007). Reviewer: Huang Wenxue (Scarborough) MSC: 15B51 15A18 60J10 15A12 PDFBibTeX XMLCite \textit{S. J. Kirkland} et al., Linear Algebra Appl. 424, No. 1, 118--131 (2007; Zbl 1120.15017) Full Text: DOI
Kirkland, Steve Constructably Laplacian integral graphs. (English) Zbl 1113.05064 Linear Algebra Appl. 423, No. 1, 3-21 (2007). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{S. Kirkland}, Linear Algebra Appl. 423, No. 1, 3--21 (2007; Zbl 1113.05064) Full Text: DOI
Bhatia, Rajendra (ed.); Guralnick, Robert (ed.); Kirkland, Steve (ed.); Wolkowicz, Henry (ed.) Special issue devoted to the 12th ILAS conference of the International Linear Algebra Society (ILAS), Regina, Canada, June 26–29, 2005. (English) Zbl 1105.15300 Linear Algebra Appl. 421, No. 1, 170 p. (2007). MSC: 15-06 00B25 PDFBibTeX XML
Akbari, S.; Kirkland, S. J. On unimodular graphs. (English) Zbl 1108.05060 Linear Algebra Appl. 421, No. 1, 3-15 (2007). MSC: 05C50 15A09 15A15 05C05 PDFBibTeX XMLCite \textit{S. Akbari} and \textit{S. J. Kirkland}, Linear Algebra Appl. 421, No. 1, 3--15 (2007; Zbl 1108.05060) Full Text: DOI
Kirkland, Steve Limit points for normalized Laplacian eigenvalues. (English) Zbl 1142.05340 Electron. J. Linear Algebra 15, 337-344 (2006). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{S. Kirkland}, Electron. J. Linear Algebra 15, 337--344 (2006; Zbl 1142.05340) Full Text: DOI EuDML Link
Kirkland, S. Conditioning of the entries in the stationary vector of a Google-type matrix. (English) Zbl 1110.15018 Linear Algebra Appl. 418, No. 2-3, 665-681 (2006). Reviewer: Mihail Voicu (Iaşi) MSC: 15B51 15A12 15A18 05C50 05C20 PDFBibTeX XMLCite \textit{S. Kirkland}, Linear Algebra Appl. 418, No. 2--3, 665--681 (2006; Zbl 1110.15018) Full Text: DOI
Ipsen, Ilse C. F.; Kirkland, Steve Convergence analysis of a PageRank updating algorithm by Langville and Meyer. (English) Zbl 1108.65030 SIAM J. Matrix Anal. Appl. 27, No. 4, 952-967 (2006). Reviewer: Gong Guanglu (Beijing) MSC: 65F15 65F10 15A18 15A42 65C40 15B51 68P10 60J22 PDFBibTeX XMLCite \textit{I. C. F. Ipsen} and \textit{S. Kirkland}, SIAM J. Matrix Anal. Appl. 27, No. 4, 952--967 (2006; Zbl 1108.65030) Full Text: DOI
Kirkland, Stephen; Li, Chi-Kwong; Schreiber, Sebastian J. On the evolution of dispersal in patchy landscapes. (English) Zbl 1100.39011 SIAM J. Appl. Math. 66, No. 4, 1366-1382 (2006). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 39A11 92D25 15B48 15B51 PDFBibTeX XMLCite \textit{S. Kirkland} et al., SIAM J. Appl. Math. 66, No. 4, 1366--1382 (2006; Zbl 1100.39011) Full Text: DOI Link
Kirkland, Steve Sensitivity of the stable distribution vector for a size-classified population model. (English) Zbl 1062.92054 Linear Algebra Appl. 398, 3-23 (2005). MSC: 92D25 15A99 91D20 26B12 15A09 PDFBibTeX XMLCite \textit{S. Kirkland}, Linear Algebra Appl. 398, 3--23 (2005; Zbl 1062.92054) Full Text: DOI
Kirkland, Steve (ed.); Shader, Bryan L. (ed.); van den Driessche, Pauline (ed.) Proceedings of the 2004 workshop on directions in combinatorial matrix theory, Banff, Canada, May 7–8, 2004. (English) Zbl 1060.05500 Electron. J. Linear Algebra 14 (2005). MSC: 05-06 15-06 00B25 PDFBibTeX XML Full Text: DOI EuDML EMIS
Kirkland, S. Girth and subdominant eigenvalues for stochastic matrices. (English) Zbl 1066.15023 Electron. J. Linear Algebra 12, 25-41 (2004/2005). Reviewer: Václav Burjan (Praha) MSC: 15B51 15A42 PDFBibTeX XMLCite \textit{S. Kirkland}, Electron. J. Linear Algebra 12, 25--41 (2005; Zbl 1066.15023) Full Text: EuDML EMIS
Kirkland, S. A combinatorial approach to the conditioning of a single entry in the stationary distribution for a Markov chain. (English) Zbl 1069.15021 Electron. J. Linear Algebra 11, 168-179 (2004). Reviewer: Huang Wenxue (Scarborough) MSC: 15B51 60J10 15A12 05C20 05C50 PDFBibTeX XMLCite \textit{S. Kirkland}, Electron. J. Linear Algebra 11, 168--179 (2004; Zbl 1069.15021) Full Text: DOI EuDML EMIS
Kirkland, S. J.; Neumann, M.; Xu, J. Convexity and elasticity of the growth rate in size-classified population models. (English) Zbl 1068.92039 SIAM J. Matrix Anal. Appl. 26, No. 1, 170-185 (2004). MSC: 92D25 15A09 15A18 15B48 91D20 PDFBibTeX XMLCite \textit{S. J. Kirkland} et al., SIAM J. Matrix Anal. Appl. 26, No. 1, 170--185 (2004; Zbl 1068.92039) Full Text: DOI
Kirkland, S. J.; Neumann, M. On algebraic connectivity as a function of an edge weight. (English) Zbl 1054.05068 Linear Multilinear Algebra 52, No. 1, 17-23 (2004). Reviewer: Lubomír Bakule (Praha) MSC: 05C50 15A09 15A18 15B48 PDFBibTeX XMLCite \textit{S. J. Kirkland} and \textit{M. Neumann}, Linear Multilinear Algebra 52, No. 1, 17--23 (2004; Zbl 1054.05068) Full Text: DOI
Kirkland, S. Digraph-based conditioning for Markov chains. (English) Zbl 1056.15022 Linear Algebra Appl. 385, 81-93 (2004). Reviewer: Huang Wenxue (Scarborough) MSC: 15B51 15A18 60J10 05C20 15A12 PDFBibTeX XMLCite \textit{S. Kirkland}, Linear Algebra Appl. 385, 81--93 (2004; Zbl 1056.15022) Full Text: DOI
Kirkland, Stephen J. Digraph-based conditioning for Markov chains. (English) Zbl 1083.60517 Benvenuti, Luca (ed.) et al., Positive systems. Proceedings of the first multidisciplinary international symposium on positive systems: Theory and applications (POSTA 2003), Rome, Italy, August 28–30, 2003. Berlin: Springer (ISBN 3-540-40342-6/pbk). Lecture Notes in Control and Information Sciences 294, 215-216 (2003). MSC: 60J10 15B51 PDFBibTeX XMLCite \textit{S. J. Kirkland}, Lect. Notes Control Inf. Sci. 294, 215--216 (2003; Zbl 1083.60517)
Fallat, Shaun M.; Kirkland, Steve; Pati, Sukanta Maximizing algebraic connectivity over unicyclic graphs. (English) Zbl 1043.05074 Linear Multilinear Algebra 51, No. 3, 221-241 (2003). MSC: 05C50 15A18 15B48 PDFBibTeX XMLCite \textit{S. M. Fallat} et al., Linear Multilinear Algebra 51, No. 3, 221--241 (2003; Zbl 1043.05074) Full Text: DOI
Fallat, Shaun M.; Kirkland, Steve; Pati, Sukanta On graphs with algebraic connectivity equal to minimum edge density. (English) Zbl 1026.05075 Linear Algebra Appl. 373, 31-50 (2003). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{S. M. Fallat} et al., Linear Algebra Appl. 373, 31--50 (2003; Zbl 1026.05075) Full Text: DOI
Kirkland, Steve Conditioning properties of the stationary distribution for a Markov chain. (English) Zbl 1022.15027 Electron. J. Linear Algebra 10, 1-15 (2003). Reviewer: Václav Burjan (Praha) MSC: 15B51 15A12 60J10 60G50 PDFBibTeX XMLCite \textit{S. Kirkland}, Electron. J. Linear Algebra 10, 1--15 (2003; Zbl 1022.15027) Full Text: DOI EuDML EMIS
Hemasinha, Rohan; Weaver, James R.; Kirkland, Stephen J.; Stuart, Jeffrey L. Properties of the Brualdi-Li tournament matrix. (English) Zbl 1017.05074 Linear Algebra Appl. 361, 63-73 (2003). Reviewer: J.W.Moon (Edmonton) MSC: 05C50 05C20 15A15 15A18 PDFBibTeX XMLCite \textit{R. Hemasinha} et al., Linear Algebra Appl. 361, 63--73 (2003; Zbl 1017.05074) Full Text: DOI
Kirkland, S. An upper bound on the Perron value of an almost regular tournament matrix. (English) Zbl 1019.15004 Linear Algebra Appl. 361, 7-22 (2003). Reviewer: Ki Hang Kim (Montgomery) MSC: 15A42 15B48 05C50 PDFBibTeX XMLCite \textit{S. Kirkland}, Linear Algebra Appl. 361, 7--22 (2003; Zbl 1019.15004) Full Text: DOI
Kirkland, S. J.; Neumann, M.; Ormes, N.; Xu, J. On the elasticity of the Perron root of a nonnegative matrix. (English) Zbl 1020.15022 SIAM J. Matrix Anal. Appl. 24, No. 2, 454-464 (2002). Reviewer: Juan Ramon Torregrosa (Valencia) MSC: 15B48 15A42 92D25 15A18 15A09 PDFBibTeX XMLCite \textit{S. J. Kirkland} et al., SIAM J. Matrix Anal. Appl. 24, No. 2, 454--464 (2002; Zbl 1020.15022) Full Text: DOI
Kirkland, Steve; Pati, Sukanta On vertex connectivity and absolute algebraic connectivity for graphs. (English) Zbl 1003.05071 Linear Multilinear Algebra 50, No. 3, 253-284 (2002). Reviewer: Dragan Stevanović (Niš) MSC: 05C50 15A42 05C35 PDFBibTeX XMLCite \textit{S. Kirkland} and \textit{S. Pati}, Linear Multilinear Algebra 50, No. 3, 253--284 (2002; Zbl 1003.05071) Full Text: DOI Link
Fallat, Shaun M.; Kirkland, Steve; Pati, Sukanta Minimizing algebraic connectivity over connected graphs with fixed girth. (English) Zbl 0995.05092 Discrete Math. 254, No. 1-3, 115-142 (2002). Reviewer: Dragan Stevanović (Niš) MSC: 05C50 15A18 15B48 PDFBibTeX XMLCite \textit{S. M. Fallat} et al., Discrete Math. 254, No. 1--3, 115--142 (2002; Zbl 0995.05092) Full Text: DOI
Kirkland, S. On a question concerning condition numbers for Markov chains. (English) Zbl 1013.15005 SIAM J. Matrix Anal. Appl. 23, No. 4, 1109-1119 (2002). Reviewer: Václav Burjan (Praha) MSC: 15B51 15A45 65F35 60J10 PDFBibTeX XMLCite \textit{S. Kirkland}, SIAM J. Matrix Anal. Appl. 23, No. 4, 1109--1119 (2002; Zbl 1013.15005) Full Text: DOI
Kirkland, Stephen J.; Molitierno, Jason J.; Neumann, Michael; Shader, Bryan L. On graphs with equal algebraic and vertex connectivity. (English) Zbl 0991.05071 Linear Algebra Appl. 341, No. 1-3, 45-56 (2002). MSC: 05C50 15B48 05C75 05C40 PDFBibTeX XMLCite \textit{S. J. Kirkland} et al., Linear Algebra Appl. 341, No. 1--3, 45--56 (2002; Zbl 0991.05071) Full Text: DOI
Gregory, David A.; Hershkowitz, Daniel; Kirkland, Stephen J. The spread of the spectrum of a graph. (English) Zbl 0978.05049 Linear Algebra Appl. 332-334, No. 1-3, 23-35 (2001). Reviewer: Dragan Stevanović (Niš) MSC: 05C50 15A42 15B36 PDFBibTeX XMLCite \textit{D. A. Gregory} et al., Linear Algebra Appl. 332--334, 23--35 (2001; Zbl 0978.05049) Full Text: DOI
Kirkland, S. An upper bound on algebraic connectivity of graphs with many cutpoints. (English) Zbl 0984.05057 Electron. J. Linear Algebra 8, 94-109 (2001). Reviewer: Dragoš Cvetković (Beograd) MSC: 05C50 15B48 PDFBibTeX XMLCite \textit{S. Kirkland}, Electron. J. Linear Algebra 8, 94--109 (2001; Zbl 0984.05057) Full Text: DOI EuDML EMIS Link
Kirkland, Stephen J.; Molitierno, Jason J.; Neumann, Michael The sharpness of a lower bound on the algebraic connectivity for maximal graphs. (English) Zbl 0987.05074 Linear Multilinear Algebra 48, No. 3, 237-246 (2001). Reviewer: Dragan Stevanović (Niš) MSC: 05C50 05C07 15B48 PDFBibTeX XMLCite \textit{S. J. Kirkland} et al., Linear Multilinear Algebra 48, No. 3, 237--246 (2001; Zbl 0987.05074) Full Text: DOI
Kirkland, S.; Psarrakos, P. J.; Tsatsomeros, M. J. On the location of the spectrum of hypertournament matrices. (English) Zbl 0974.15014 Linear Algebra Appl. 323, No. 1-3, 37-49 (2001). Reviewer: Václav Burjan (Praha) MSC: 15A42 15A60 PDFBibTeX XMLCite \textit{S. Kirkland} et al., Linear Algebra Appl. 323, No. 1--3, 37--49 (2001; Zbl 0974.15014) Full Text: DOI
Eschenbach, Carolyn; Hall, Frank; Hemasinha, Rohan; Kirkland, Stephen; Li, Zhongshan Properties of tournaments among well-matched players. (English) Zbl 0981.05053 Am. Math. Mon. 107, No. 10, 881-892 (2000). Reviewer: J.W.Moon (Edmonton) MSC: 05C20 05C50 15A15 15A18 PDFBibTeX XMLCite \textit{C. Eschenbach} et al., Am. Math. Mon. 107, No. 10, 881--892 (2000; Zbl 0981.05053) Full Text: DOI
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 A bound on the algebraic connectivity of a graph in terms of the number of cutpoints. (English) Zbl 0947.05052 Linear Multilinear Algebra 47, No. 1, 93-103 (2000). Reviewer: Fedor Fomin (Santiago) MSC: 05C50 15B48 PDFBibTeX XMLCite \textit{S. Kirkland}, Linear Multilinear Algebra 47, No. 1, 93--103 (2000; Zbl 0947.05052) 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
Eschenbach, Carolyn; Hall, Frank; Hemasinha, Rohan; Kirkland, Stephen J.; Li, Zhongshan; Shader, Bryan L.; Stuart, Jeffrey L.; Weaver, James R. On almost regular tournament matrices. (English) Zbl 0947.05040 Linear Algebra Appl. 306, No. 1-3, 103-121 (2000). Reviewer: J.W.Moon (Edmonton) MSC: 05C20 05C50 15A15 15A18 PDFBibTeX XMLCite \textit{C. Eschenbach} et al., Linear Algebra Appl. 306, No. 1--3, 103--121 (2000; Zbl 0947.05040) Full Text: DOI
Kirkland, Steve Constructions for type I trees with nonisomorphic Perron branches. (English) Zbl 1003.05070 Czech. Math. J. 49, No. 3, 617-632 (1999). MSC: 05C50 15A09 05C05 05C40 PDFBibTeX XMLCite \textit{S. Kirkland}, Czech. Math. J. 49, No. 3, 617--632 (1999; Zbl 1003.05070) Full Text: DOI EuDML
Kirkland, Stephen J.; Neumann, Michael On group inverses of \(M\)-matrices with uniform diagonal entries. (English) Zbl 0933.15007 Linear Algebra Appl. 296, No. 1-3, 153-170 (1999). Reviewer: Váslaw Burjan (Praha) MSC: 15A09 15B48 05C50 15B51 94C05 PDFBibTeX XMLCite \textit{S. J. Kirkland} and \textit{M. Neumann}, Linear Algebra Appl. 296, No. 1--3, 153--170 (1999; Zbl 0933.15007) Full Text: DOI
Stuart, Jeffrey; Eschenbach, Carolyn; Kirkland, Steve Irreducible sign \(k\)-potent sign pattern matrices. (English) Zbl 0935.15008 Linear Algebra Appl. 294, No. 1-3, 85-92 (1999). Reviewer: A.R.Kräuter (Leoben) MSC: 15A21 15B36 05B20 PDFBibTeX XMLCite \textit{J. Stuart} et al., Linear Algebra Appl. 294, No. 1--3, 85--92 (1999; Zbl 0935.15008) Full Text: DOI
Kirkland, Stephen J.; Neumann, Michael Cutpoint decoupling and first passage times for random walks on graphs. (English) Zbl 0934.65004 SIAM J. Matrix Anal. Appl. 20, No. 4, 860-870 (1999). Reviewer: Neculai Curteanu (Iaşi) MSC: 65C40 15B51 60G50 60J22 05C20 PDFBibTeX XMLCite \textit{S. J. Kirkland} and \textit{M. Neumann}, SIAM J. Matrix Anal. Appl. 20, No. 4, 860--870 (1999; Zbl 0934.65004) Full Text: DOI
Kirkland, Steve Perron vector ordering for a subclass of tournament matrices. (English) Zbl 0935.15007 Linear Algebra Appl. 291, No. 1-3, 151-166 (1999). Reviewer: D.Steinsaltz (Berlin) MSC: 15A18 15B48 15B57 PDFBibTeX XMLCite \textit{S. Kirkland}, Linear Algebra Appl. 291, No. 1--3, 151--166 (1999; Zbl 0935.15007) Full Text: DOI