# zbMATH — the first resource for mathematics

## ELA. The Electronic Journal of Linear Algebra

 Short Title: Electron. J. Linear Algebra Publisher: ILAS - International Linear Algebra Society c/o Daniel Hershkowitz, Department of Mathematics, Technion - Israel Institute of Techonolgy, Haifa ISSN: 1081-3810/e Online: https://journals.uwyo.edu/index.php/ela/issue/archivehttp://www.emis.de/journals/ELA/ Comments: Indexed cover-to-cover; Published electronic only as of Vol. 1 (1996). This journal is available open access.
 Documents Indexed: 1,099 Publications (since 1996) References Indexed: 240 Publications with 4,506 References.
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#### Latest Issues

 37 (2021) 36 (2020) 35 (2019) 34 (2018) 33 (2018) 32 (2017) 31 (2016) 30 (2015) 29 (2015) 28 (2015) 27 (2014) 26 (2013) 25 (2012) 24 (2012) 23 (2012) 22 (2011) 21 (2010) 20 (2010) 19 (2009) 18 (2009) 17 (2008) 16 (2007) 15 (2006) 14 (2005) 13 (2005) 12 (2004-2005) 11 (2004) 10 (2003) 9 (2002) 8 (2001) 7 (2000) 6 (1999/2000) 5 (1999) 4 (1998) 3 (1998) 2 (1997) 1 (1996)
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#### Authors

 29 Hogben, Leslie 23 van den Driessche, Pauline 20 Johnson, Charles Royal 17 Li, Chi-Kwong 17 Olesky, D. Dale 16 Rodman, Leiba X. 15 Shader, Bryan L. 12 Fallat, Shaun M. 12 Tsatsomeros, Michael J. 11 Catral, Minerva 11 Kirkland, Steve J. 11 Mehrmann, Volker 11 Soto, Ricardo Lorenzo 11 Vander Meulen, Kevin N. 9 Barrett, Wayne W. 9 Bebiano, Natália Isabel Quadros 9 Drury, Stephen William 9 Liu, Bolian 9 Tian, Yongge 9 Wei, Yimin 8 Friedland, Shmuel 8 Huang, Ting-Zhu 8 Mehl, Christian 8 Nakazato, Hiroshi 8 Rojo, Oscar L. 8 Shaked-Monderer, Naomi 8 Sivakumar, Koratti Chengalrayan 7 Benítez Lopez, Julio 7 Chien, Mao-Ting 7 da Providência Santarém e Costa, João 7 DeAlba, Luz Maria 7 Hershkowitz, Daniel 7 Li, Shuchao 7 Psarrakos, Panayiotis J. 7 Rohn, Jiri 7 van der Holst, Hein 7 Wang, Qingwen 7 Zhang, Chengyi 6 Bapat, Ravindra Bhalchandra 6 Butler, Steven Kay 6 Cavers, Michael S. 6 Cvetković-Ilić, Dragana S. 6 da Fonseca, Carlos Martins 6 Đorđević, Dragan S. 6 Gil’, Michael Iosif 6 Hartwig, Robert E. 6 Kim, In-Jae 6 Neumann, Michael 6 Niezgoda, Marek 6 Pati, Sukanta 6 Peña, Juan Manuel 6 Ran, André C. M. 6 Schneider, Hans 6 Sinkovic, John Henry 6 Spitkovsky, Ilya Matvey 6 Tam, Tin-Yau 5 Berman, Abraham S. 5 Böttcher, Albrecht 5 Bu, Changjiang 5 de Terán, Fernando 5 Dodig, Marija 5 Hall, Frank J. 5 Horn, Roger Alan 5 Kuzma, Bojan 5 Lin, Minghua 5 Liu, Muhuo 5 Loewy, Raphael 5 Luo, Shuanghua 5 Mackey, D. Steven 5 Maroulas, John 5 Mosić, Dijana 5 Moslehian, Mohammad Sal 5 Nelson, Curtis G. 5 Nikiforov, Vladimir S. 5 Panda, Swarup Kumar 5 Shao, Yanling 5 Szyld, Daniel B. 5 Thome, Néstor 5 Zhang, Fuzhen 4 Baksalary, Oskar Maria 4 Balaji, Ramamurthy 4 Barioli, Francesco 4 Bru, Rafael 4 Cao, Chongguang 4 Das, Kinkar Chandra 4 Đoković, Dragomir Ž. 4 Dopico, Froilán M. 4 Elhashash, Abed 4 Filipiak, Katarzyna 4 Förster, Karl-Heinz 4 Freitas, Pedro Jorge 4 Furtado, Susana 4 Gao, Yubin 4 Grout, Jason 4 Guo, Shuguang 4 Hall, H. Tracy 4 Hou, Yaoping 4 Huang, Qiongxiang 4 Kittaneh, Fuad 4 Laffey, Thomas J. ...and 1,305 more Authors
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#### Fields

 869 Linear and multilinear algebra; matrix theory (15-XX) 349 Combinatorics (05-XX) 152 Numerical analysis (65-XX) 107 Operator theory (47-XX) 34 Functional analysis (46-XX) 31 Systems theory; control (93-XX) 29 Associative rings and algebras (16-XX) 22 Number theory (11-XX) 22 Operations research, mathematical programming (90-XX) 21 Group theory and generalizations (20-XX) 18 Nonassociative rings and algebras (17-XX) 17 Statistics (62-XX) 16 Ordinary differential equations (34-XX) 15 Difference and functional equations (39-XX) 15 Probability theory and stochastic processes (60-XX) 15 Quantum theory (81-XX) 14 Real functions (26-XX) 11 General and overarching topics; collections (00-XX) 11 Field theory and polynomials (12-XX) 11 Commutative algebra (13-XX) 11 Geometry (51-XX) 11 Convex and discrete geometry (52-XX) 11 Computer science (68-XX) 10 Algebraic geometry (14-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 8 Functions of a complex variable (30-XX) 8 Special functions (33-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Information and communication theory, circuits (94-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Mathematical logic and foundations (03-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Approximations and expansions (41-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Differential geometry (53-XX) 3 General topology (54-XX) 2 Topological groups, Lie groups (22-XX) 2 Partial differential equations (35-XX) 2 Abstract harmonic analysis (43-XX) 2 Manifolds and cell complexes (57-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 $$K$$-theory (19-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH Open

749 Publications have been cited 3,967 times in 3,019 Documents Cited by Year
A new family of companion forms of polynomial matrices. Zbl 1085.15010
Antoniou, E. N.; Vologiannidis, S.
2004
Distance spectral radius of trees with fixed maximum degree. Zbl 1189.05050
Stevanovic, Dragan; Ilic, Aleksandar
2010
On the nullity of graphs. Zbl 1142.05336
Cheng, Bo; Liu, Bolian
2007
Graphs whose minimal rank is two. Zbl 1070.05059
Barrett, Wayne; van der Holst, Hein; Loewy, Raphael
2004
Extremizing algebraic connectivity subject to graph theoretic constraints. Zbl 0913.05073
Fallat, Shaun; Kirkland, Steve
1998
Two characterizations of inverse-positive matrices: the Hawkins-Simon condition and the Le Chatelier-Braun principle. Zbl 1069.15020
2004
Linearizations of singular matrix polynomials and the recovery of minimal indices. Zbl 1190.15015
De Terán, Fernando; Dopico, Froilán M.; Mackey, D. Steven
2009
An algorithm for solving the absolute value equation. Zbl 1189.65082
Rohn, Jiri
2009
The reflexive re-nonnegative definite solution to a quaternion matrix equation. Zbl 1147.15012
Wang, Qing-Wen; Zhang, Fei
2008
The spectrum of the edge corona of two graphs. Zbl 1205.05144
Hou, Yaoping; Shiu, Wai-Chee
2010
Structured tools for structured matrices. Zbl 1027.15013
Mackey, D. Steven; Mackey, Niloufer; Tisseur, Françoise
2003
The quaternionic determinant. Zbl 0977.15004
Cohen, Nir; De Leo, Stefano
2000
Smith forms of palindromic matrix polynomials. Zbl 1207.15013
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
2011
When can perfect state transfer occur? Zbl 1253.05093
Godsil, Chris
2012
Biderivations and linear commuting maps on simple generalized Witt algebras over a field. Zbl 1367.17013
Chen, Zhengxin
2016
A family of tridiagonal pairs related to the quantum affine algebra $$U_q(\widehat{\text{sl}_2})$$. Zbl 1074.15002
Alnajjar, Hasan; Curtin, Brian
2005
Spectral graph theory and the inverse eigenvalue problem of a graph. Zbl 1162.05333
Hogben, Leslie
2005
Affine transformations of a Leonard pair. Zbl 1143.05337
Nomura, Kazumasa; Terwilliger, Paul
2007
Eigenvalues and eigenvectors of tridiagonal matrices. Zbl 1097.15011
Kouachi, Said
2006
Palindromic linearizations of a matrix polynomial of odd degreee obtained from Fiedler pencils with repetition. Zbl 1250.65053
2012
A variant on the graph parameters of Colin de Verdière: implications to the minimum rank of graphs. Zbl 1092.05042
Barioli, Francesco; Fallat, Shaun; Hogben, Leslie
2005
Singular value inequality and graph energy change. Zbl 1146.15008
Day, Jane; So, Wasin
2007
Principal eigenvectors of irregular graphs. Zbl 1142.05337
Cioabă, Sebastian M.; Gregory, David A.
2007
Consistency and efficient solution of the Sylvester equation for $$*$$-congruence. Zbl 1256.65035
De Teran, Fernando; Dopico, Froilan M.
2011
Extreme ranks of (skew-)Hermitian solutions to a quaternion matrix equation. Zbl 1207.15016
Wang, Qing-Wen; Jing, Jiang
2010
The general $$\phi$$-Hermitian solution to mixed pairs of quaternion matrix Sylvester equations. Zbl 1386.15017
He, Zhuo-Heng; Liu, Jianzhen; Tam, Tin-Yau
2017
On classification of normal matrices in indefinite inner product spaces. Zbl 1095.15010
Mehl, Christian
2006
Symmetric nonnegative realization of spectra. Zbl 1155.15010
Soto, Ricardo L.; Rojo, Oscar; Moro, Julio; Borobia, Alberto
2007
A refinement of an inequality of Johnson, Loewy and London on nonnegative matrices and some applications. Zbl 0907.15013
Laffey, Thomas J.; Meehan, Eleanor
1998
On the estrada index of graphs with given number of cut edges. Zbl 1227.05179
Du, Zhibin; Zhou, Bo
2011
Forty necessary and sufficient conditions for regularity of interval matrices: A survey. Zbl 1189.65088
Rohn, Jiri
2009
A characterization of singular graphs. Zbl 1142.05344
Sciriha, Irene
2007
On the minimum rank of not necessarily symmetric matrices: a preliminary study. Zbl 1169.05345
Barioli, Francesco; Fallat, Shaun M.; Hall, H. Tracy; Hershkowitz, Daniel; Hogben, Leslie; Van Der Holst, Hein; Shader, Bryan
2009
On matrices with all minors negative. Zbl 0962.15014
Fallat, Shaun M.; van den Driessche, P.
2000
On generalized Hermite matrix polynomials. Zbl 1038.33005
Sayyed, K. A. M.; Metwally, M. S.; Batahan, Raed S.
2003
Interior points of the completely positive cone. Zbl 1151.15019
Dür, Mirjam; Still, Georg
2008
On solutions to the quaternion matrix equation $$AXB+CYD=E$$. Zbl 1154.15019
Wang, Qing-Wen; Zhang, Hua-Sheng; Yu, Shao-Wen
2008
The combinatorially symmetric $$P$$-matrix completion problem. Zbl 0889.15007
Johnson, Charles R.; Kroschel, Brenda K.
1996
Strongly stable gyroscopic systems. Zbl 0921.47015
Lancaster, Peter
1999
Accurate computations with totally positive Bernstein-Vandermonde matrices. Zbl 1283.65018
Marco, Ana; Martínez, José-Javier
2013
Bicyclic digraphs with extremal skew energy. Zbl 1253.05076
Shen, Xiaoling; Hou, Yoaping; Zhang, Chongyan
2012
An improved characterisation of the interior of the completely positive cone. Zbl 1217.15019
Dickinson, Peter J. C.
2010
A restriction on the Schur multiplier of nilpotent Lie algebras. Zbl 1277.17007
Niroomand, Peyman; Russo, Francesco G.
2011
A Bruhat order for the class of $$(0,1)$$-matrices with row sum vector $$R$$ and column sum vector $$S$$. Zbl 1088.05019
Brualdi, Richard A.; Hwang, Suk-Geun
2005
Zeros of unilateral quaternionic polynomials. Zbl 1151.15303
De Leo, Stefano; Ducati, Gisele; Leonardi, Vinicius
2006
On general matrices having the Perron-Frobenius property. Zbl 1156.15009
Elhashash, Abed; Szyld, Daniel B.
2008
Additional results on index splittings for Drazin inverse solutions of singular linear systems. Zbl 0978.15006
Wei, Yimin; Wu, Hebing
2001
Open problems in the theory of completely positive and copositive matrices. Zbl 1326.15048
Berman, Avi; Dur, Mirjam; Shaked-Monderer, Naomi
2015
Linearization of regular matrix polynomials. Zbl 1147.15009
Lancaster, Peter
2008
The minimum spectral radius of graphs with a given clique number. Zbl 1148.05306
Stevanović, Dragan; Hansen, Pierre
2008
Perturbation of purely imaginary eigenvalues of Hamiltonian matrices under structured perturbations. Zbl 1161.15005
Mehrmann, Volker; Xu, Hongguo
2008
Block representations of the Drazin inverse of a bipartite matrix. Zbl 1183.15005
Catral, Minerva; Olesky, Dale D.; van den Driessche, Pauline
2009
An extension of a result of Lewis. Zbl 0928.15012
Tam, Tin-Yau
1999
The combinatorial structure of eventually nonnegative matrices. Zbl 1039.15003
Naqvi, Sarah Carnochan; McDonald, Judith J.
2002
On cardinality of Pareto spectra. Zbl 1254.15015
Seeger, Alberto; Vicente-Perez, Jose
2011
Two special kinds of least squares solutions for the quaternion matrix equation AXB+CXD=E. Zbl 1250.65051
Yuan, Shi-Fang; Wang, Qing-Wen
2012
Applications of max algebra to diagonal scaling of matrices. Zbl 1093.15009
Butkovic, Peter; Schneider, Hans
2005
Nonnegative matrices with prescribed elementary divisors. Zbl 1149.15009
Soto, Ricardo L.; Ccapa, Javier
2008
Generating potentially nilpotent full sign patterns. Zbl 1181.15039
Kim, In-Jae; Olesky, Dale D.; Shader, Bryan L.; Van Den Driessche, Pauline; Van Der Holst, Hein; Vander Meulen, Kevin N.
2009
A note on the convexity of the realizable set of eigenvalues for nonnegative symmetric matrices. Zbl 0978.15009
Knudsen, C.; McDonald, J. J.
2001
The symmetric linear matrix equation. Zbl 1002.15015
Ran, André C. M.; Reurings, Martine C. B.
2002
Characterization of the $$W$$-weighted Drazin inverse over the quaternion skew field with applications. Zbl 1283.15019
Song, Guang Jing
2013
Totally bipartite/abipartite Leonard pairs and Leonard triples of Bannai/Itō type. Zbl 1285.15002
Brown, George M. F.
2013
Minimum number of distinct eigenvalues of graphs. Zbl 1282.05085
Ahmadi, Bahman; Alinaghipour, Fatemeh; Cavers, Michael S.; Fallat, Shaun; Meagher, Karen; Nasser, Shahla
2013
Realizing Suleimanova-type spectra via permutative matrices. Zbl 1341.15008
Paparella, Pietro
2016
A new solvable condition for a pair of generalized Sylvester equations. Zbl 1190.15019
Wang, Qing-Wen; Zhang, Hua-Sheng; Song, Guang-Jing
2009
Group inverses for matrices over a Bézout domain. Zbl 1189.15005
Cao, Chongguang; Li, Juyan
2009
The structure of linear operators strongly preserving majorizations of matrices. Zbl 1145.15003
2006
Fast computing of the Moore-Penrose inverse matrix. Zbl 1176.65048
Katsikis, Vasilios N.; Pappas, Dimitrios
2008
Shapes and computer generation of numerical ranges of Krein space operators. Zbl 0905.47027
Li, Chi-Kwong; Rodman, Leiba
1998
A matrix handling of predictions of new observations under a general random-effects model. Zbl 1329.62321
Tian, Yongge
2015
Refined inertias of tree sign-patterns. Zbl 1282.05113
Garnett, Colin; Olesky, D. D.; van den Driessche, Pauline
2013
PostLie algebra structures on the Lie algebra $$\mathrm{sl}(2,\mathbb C)$$. Zbl 1295.17020
Pan, Yu; Liu, Qing; Bai, Chengming; Guo, Li
2012
On two conjectures regarding an inverse eigenvalue problem for acyclic symmetric matrices. Zbl 1055.15010
Barioli, Francesco; Fallat, Shaun M.
2004
Structure preserving algorithms for perplectic eigenproblems. Zbl 1065.65053
Mackey, D. Steven; Mackey, Niloufer; Dunlavy, Daniel M.
2005
On the singular two-parameter eigenvalue problem. Zbl 1190.15011
Muhic, Andrej; Plestenjak, Bor
2009
Partial isometries and EP elements in rings with involution. Zbl 1192.16039
Mosić, Dijana; Djordjević, Dragan S.
2009
Estimation of the maximum multiplicity of an eigenvalue in terms of the vertex degrees of the graph of a matrix. Zbl 0999.15005
Johnson, Charles R.; Saiago, Carlos M.
2002
Reducing the adjacency matrix of a tree. Zbl 0886.05048
Fricke, Gerd H.; Hedetniemi, Stephen T.; Jacobs, David P.; Trevisan, Vilmar
1996
The Moore of the Moore-Penrose inverse. Zbl 1024.01012
2002
Refinements of the operator Jensen-Mercer inequality. Zbl 1301.47024
2013
On condition numbers for the canonical generalized polar decompostion of real matrices. Zbl 1283.15024
Xie, Ze-Jia; Li, Wen; Jin, Xiao-Qing
2013
The behavior of the complete eigenstructure of a polynomial matrix under a generic rational transformation. Zbl 1250.15014
Noferini, Vanni
2012
On nonnegative realization of partitioned spectra. Zbl 1221.15021
Soto, Ricardo L.; Rojo, Oscar; Manzaneda, Cristina B.
2011
Formal adjoints of linear DAE operators and their role in optimal control. Zbl 1226.49030
Kunkel, Peter; Mehrmann, Volker
2011
Commuting maps on rank-$$k$$ matrices. Zbl 1325.15014
Xu, Xiao-Wei; Yi, Xiaofei
2014
On determining minimal spectrally arbitrary patterns. Zbl 1097.15009
Cavers, Michael S.; Kim, In Jae; Shader, Bryan L.; Vander Meulen, Kevin N.
2005
Essential decomposition of polynomially normal matrices in real indefinite inner product spaces. Zbl 1095.15011
Mehl, Christian
2006
M$$_\vee$$-matrices: a generalization of M-matrices based on eventually nonnegative matrices. Zbl 1189.15040
Olesky, Dale D.; Tsatsomeros, Michael J.; van den Driessche, Pauline
2009
Bounds on the spectral radius of a Hadamard product of nonnegative or positive semidefinite matrices. Zbl 1191.15015
Horn, Roger A.; Zhang, Fuzhen
2010
Linear combinations of graph eigenvalues. Zbl 1142.05343
2006
Some results on the group inverse for block matrices over skew fields. Zbl 1183.15004
Bu, Changjiang; Zhao, Jiemei; Zhang, Kuize
2009
Sharp lower bounds for the dimension of linearizations of matrix polynomials. Zbl 1173.15014
De Teran, Fernando; Dopico, Froilan M.
2008
A norm inequality for pairs of commuting positive semidefinite matrices. Zbl 1326.15030
2015
Signless Laplacian spectral characterization of some joins. Zbl 1323.05082
Liu, Xiaogang; Lu, Pengli
2015
Fast low rank approximations of matrices and tensors. Zbl 1254.65054
Friedland, Shmuel; Mehrmann, Volker; Miedlar, Agnieszka; Nkengla, M.
2011
Note on positive semidefinite maximum nullity and positive semidefinite zero forcing number of partial 2-trees. Zbl 1252.05118
Ekstrand, J.; Erickson, C.; Hay, D.; Hogben, L.; Roat, J.
2012
Singular points of the ternary polynomials associated with 4-by-4 matrices. Zbl 1253.15030
Chien, Mao-Ting; Nakazato, Hiroshi
2012
Positive semidefinite maximum nullity and zero forcing number. Zbl 1252.05130
Peters, Travis
2012
Semidefinite geometry of the numerical range. Zbl 1205.14076
Henrion, Didier
2010
Ordered multiplicity inverse eigenvalue problem for graphs on six vertices. Zbl 1464.05225
Ahn, John; Alar, Christine; Bjorkman, Beth; Butler, Steve; Carlson, Joshua; Goodnight, Audrey; Knox, Haley; Monroe, Casandra; Wigal, Michael C.
2021
Totally bipartite tridiagonal pairs. Zbl 07373356
Nomura, Kazumasa; Terwilliger, Paul
2021
On inequalities for $$A$$-numerical radius of operators. Zbl 07196249
Bhunia, Pintu; Paul, Kallol; Nayak, Raj Kumar
2020
$$C$$-normal operators. Zbl 07196242
Ptak, Marek; Simik, Katarzyna; Wicher, Anna
2020
Singular values, eigenvalues and diagonal elements of the commutator of $$2\times 2$$ rank one matrices. Zbl 1432.15006
Cheng, Che-Man; Liang, Yaru
2020
The maximal $$\alpha$$-index of trees with $$k$$ pendent vertices and its computation. Zbl 1433.05206
Rojo, Oscar
2020
Symmetry of cyclic weighted shift matrices with pivot-reversible weights. Zbl 1432.15010
Chien, Mao-Ting; Nakazato, Hiroshi
2020
Moore-Penrose inverse of some linear maps on infinite-dimensional vector spaces. Zbl 1451.15003
Cabezas Sánchez, Víctor; Pablos Romo, Fernando
2020
On the critical ideals of complete multipartite graphs. Zbl 1437.13038
Gao, Yibo
2020
Using Markov chains to determine expected propagation time for probabilistic zero forcing. Zbl 1453.60131
Chan, Yu; Curl, Emelie; Geneson, Jesse; Hogben, Leslie; Liu, Kevin; Odegard, Isaac; Ross, Michael
2020
Graphs that are cospectral for the distance Laplacian. Zbl 1444.05087
Brimkov, Boris; Duna, Ken; Hogben, Leslie; Lorenzen, Kate; Reinhart, Carolyn; Song, Sung-Yell; Yarrow, Mark
2020
Solving an open problem about the G-Drazin partial order. Zbl 1435.15002
Ferreyra, David; Lattanzi, Marina; Levis, Fabián; Thome, Nestor
2020
The outer generalized inverse of an even-order tensor with the Einstein product through the matrix unfolding and tensor folding. Zbl 1451.15017
Ji, Jun; Wei, Yimin
2020
Relaxing the nonsingularity assumption for intervals of totally nonnegative matrices. Zbl 1440.15027
2020
Bounds on the $$A_{\alpha}$$-spread of a graph. Zbl 1444.05092
Lin, Zhen; Miao, Lianying; Guo, Shu-Guang
2020
Energies of hypergraphs. Zbl 1444.05088
Cardoso, Kauê; Trevisan, Vilmar
2020
Determinants of normalized Bohemian upper Hessenberg matrices. Zbl 07224098
Fasi, Massimiliano; Negri Porzio, Gian Maria
2020
The NIEP and the positive realization problem. Zbl 1446.15005
Benvenuti, Luca
2020
Maximal orientations of graphs. Zbl 1444.05090
Drury, Stephen
2020
Complete characterisation of Kronecker invariants of a matrix pencil with a prescribed quasi-regular subpencil. Zbl 1447.15027
Dodig, Marija
2020
A general method to obtain the spectrum and local spectra of a graph from its regular partitions. Zbl 1444.05089
Dalfó, Cristina; Fiol, Miquel Àngel
2020
Pure PSVD approach to Sylvester-type quaternion matrix equations. Zbl 1418.15015
He, Zhuo-Heng
2019
In-sphere property and reverse inequalities for matrix means. Zbl 1417.15022
Dinh, Trung Hoa; Tam, Tin-Yau; Vo, Bich Khue T.
2019
Consistency of quaternion matrix equations $$AX^{\star}-XB=C$$ and $$X-AX^\star B=C^{\star}$$. Zbl 1431.15010
Liu, Xin; Wang, Qingwen; Zhang, Yang
2019
The $$A_{\alpha}$$-spectrum of graph product. Zbl 07166393
Li, Shuchao; Wang, Shujing
2019
Diagonal sums of doubly substochastic matrices. Zbl 1410.15061
Cao, Lei; Chen, Zhi; Duan, Xuefeng; Koyuncu, Selcuk; Li, Huilan
2019
Parametrized solutions $$X$$ of the system $$AXA = AEA$$ and $$A^k EAX = XAEA^k$$ for a matrix $$A$$ having index $$k$$. Zbl 1441.15012
Ferreyra, David E.; Lattanzi, Marina; Levis, Fabián E.; Thome, Néstor
2019
Condensed forms for linear port-Hamiltonian descriptor systems. Zbl 1414.93074
Scholz, Lena
2019
Unions of a clique and a co-clique as star complements for non-main graph eigenvalues. Zbl 1412.05132
Stanić, Zoran
2019
The cone of $$\mathcal{Z}$$-transformations on the Lorentz cone. Zbl 1431.90158
Nemeth, Sandor Zoltan; Gowda, Muddappa S.
2019
Absolutely compatible pairs in a von Neumann algebra. Zbl 1443.46035
Jana, Nabin K.; Karn, Anil K.; Peralta, Antonio M.
2019
The determinant of a complex matrix and Gershgorin circles. Zbl 1430.15006
Bünger, Florian; Rump, Siegfried M.
2019
Non-sparse companion matrices. Zbl 1419.15030
Deaett, Louis; Fischer, Jonathan; Garnett, Colin; Vander Meulen, Kevin N.
2019
Solving the Sylvester equation $$AX-XB=C$$ when $$\sigma(A)\cap\sigma(B)\neq\emptyset$$. Zbl 1416.15015
Dinčić, Nebojša Č.
2019
Brauer’s theorem and nonnegative matrices with prescribed diagonal entries. Zbl 1423.15028
Soto, Ricardo L.; Julio, Ana I.; Collao, Macarena A.
2019
SPN graphs. Zbl 1433.05196
Hogben, Leslie; Shaked-Monderer, Naomi
2019
Decomposition of symplectic matrices into products of symplectic unipotent matrices of index 2. Zbl 1431.15009
Hou, Xin; Xiao, Zhengyi; Hao, Yajing; Yuan, Qi
2019
Eigenvalue continuity and Geršgorin’s theorem. Zbl 1436.15008
Li, Chi-Kwong; Zhang, Fuzhen
2019
Pairwise completely positive matrices and conjugate local diagonal unitary invariant quantum states. Zbl 1431.15021
Johnston, Nathaniel; MacLean, Olivia
2019
Matrix Shanks transformations. Zbl 1431.65002
Brezinski, Claude; Redivo-Zaglia, Michela
2019
Generalization of real interval matrices to other fields. Zbl 1425.15030
Rubei, Elena
2019
On orthogonal matrices with zero diagonal. Zbl 1418.15023
Bailey, Robert F.; Craigen, Robert
2019
The inverse eigenvalue problem for Leslie matrices. Zbl 1423.15017
Benvenuti, Luca
2019
Maps preserving norms of generalized weighted quasi-arithmetic means of invertible positive operators. Zbl 07099264
Nagy, Gergő; Szokol, Patricia
2019
Spectral bounds for the connectivity of regular graphs with given order. Zbl 1396.05063
Abiad, Aida; Brimkov, Boris; Martinez-Rivera, Xavier; O, Suil; Zhang, Jingmei
2018
New contributions to semipositive and minimally semipositive matrices. Zbl 1390.15109
Choudhury, Projesh Nath; Kannan, Rajesh M.; Sivakumar, K. C.
2018
On the notion of scalar product for finite-dimensional diffeological vector spaces. Zbl 1393.58001
Pervova, Ekaterina
2018
Semipositivity of linear maps relative to proper cones in finite dimensional real Hilbert spaces. Zbl 1398.15037
Arumugasamy, Chandrashekaran; Jayaraman, Sachindranath; Mer, Vatsalkumar N.
2018
The properties of partial trace and block trace operators of partitioned matrices. Zbl 1390.15091
Filipiak, Katarzyna; Klein, Daniel; Vojtková, Erika
2018
The Hermitian null-range of a matrix over a finite field. Zbl 1397.15035
Ballico, Edoardo
2018
Discontinuity propagation in delay differential-algebraic equations. Zbl 1417.34188
Unger, Benjamin
2018
Positive solutions of the system of operator equations $$A_1X=C_1$$, $$XA_2=C_2$$, $$A_3XA^*_3=C_3$$, and $$A_4XA^*_4=C_4$$ in Hilbert $$C^*$$-modules. Zbl 1442.39027
Eskandari, Rasoul; Fang, Xiaochun; Moslehian, Mohammad Sal; Xu, Qingxiang
2018
Characterizing graphs of maximum principal ratio. Zbl 1390.05138
Tait, Michael; Tobin, Josh
2018
Range-compatible homomorphisms over the field with two elements. Zbl 1390.15003
de Seguins Pazzis, Clément
2018
Norm inequalities related to Clarkson inequalities. Zbl 1390.15064
2018
On the distance and distance signless Laplacian eigenvalues of graphs and the smallest Geršgorin disc. Zbl 1391.05158
Atik, Fouzul; Panigrahi, Pratima
2018
Explicit block-structures for block-symmetric Fiedler-like pencils. Zbl 1405.65050
Bueno, M. I.; Martin, Madeline; Perez, Javier; Song, Alexander; Viviano, Irina
2018
Inertia sets allowed by matrix patterns. Zbl 1398.15035
Berliner, Adam H.; Olesky, Dale D.; van den Driessche, Pauline
2018
The largest eigenvalue and some Hamiltonian properties of graphs. Zbl 1396.05072
Li, Rao
2018
Positive and $$\mathbf Z$$-operators on closed convex cones. Zbl 1398.15040
Orlitzky, Michael J.
2018
Upper bound for the number of distinct eigenvalues of a perturbed matrix. Zbl 1392.15021
Moon, Sunyo; Park, Seungkook
2018
Determinantal representations of elliptic curves via Weierstrass elliptic functions. Zbl 1391.33041
Chien, Mao-Ting; Nakazato, Hiroshi
2018
On the largest distance (signless Laplacian) eigenvalue of non-transmission-regular graphs. Zbl 1404.05114
Liu, Shuting; Shu, Jinlong; Xue, Jie
2018
Gershgorin type sets for eigenvalues of matrix polynomials. Zbl 1405.15019
Michailidou, Christina; Psarrakos, Panayiotis
2018
A note on the matrix arithmetic-geometric mean inequality. Zbl 1417.15026
Zhang, Teng
2018
On the maximal numerical range of some matrices. Zbl 1398.15021
Hamed, Ali N.; Spitkovsky, Ilya M.
2018
Some graphs determined by their distance spectrum. Zbl 1396.05068
Drury, Stephen; Lin, Huiqiu
2018
Ranks of quantum states with prescribed reduced states. Zbl 1401.81027
Li, Chi-Kwong; Poon, Yiu-Tung; Wang, Xuefeng
2018
Extremal octagonal chains with respect to the spectral radius. Zbl 1396.05069
Geng, Xianya; Li, Shuchao; Wei, Wei
2018
Proof of a conjecture of Graham and Lovász concerning unimodality of coefficients of the distance characteristic polynomial of a tree. Zbl 1396.05062
Aalipour, Ghodratollah; Abiad, Aida; Berikkyzy, Zhanar; Hogben, Leslie; Kenter, Franklin H. J.; Lin, Jephian C.-H.; Tait, Michael
2018
Bounded linear operators that preserve the weak supermajorization on $$\ell^1(I)^+$$. Zbl 06949376
Ljubenović, Martin Z.; Djordjevic, Dragan S.
2018
Block representation and spectral properties of constant sum matrices. Zbl 1390.15123
Hill, Sally L.; Lettington, Matthew C.; Schmidt, Karl Michael
2018
Correlation matrices with the Perron Frobenius property. Zbl 1390.15026
Boyle, Phelim P.; N&rsquo;Diaye, Thierno B.
2018
Perturbation results and the forward order law for the Moore-Penrose inverse of a product. Zbl 1405.15007
Castro-González, Nieves; Hartwig, Robert E.
2018
Structured eigenvalue/eigenvector backward errors of matrix pencils arising in optimal control. Zbl 1407.49052
Mehl, Christian; Mehrmann, Volker; Sharma, Punit
2018
Ordering cacti with signless Laplacian spread. Zbl 1404.05112
Lin, Zhen; Guo, Shu-Guang
2018
A note on linear preservers of semipositive and minimally semipositive matrices. Zbl 1405.15036
Choudhury, Projesh Nath; Kannan, Rajesh; Sivakumar, K. C.
2018
On the interval generalized coupled matrix equations. Zbl 07007311
2018
Resolution of conjectures related to Lights Out! and Cartesian products. Zbl 1404.05128
Curtis, Bryan A.; Earl, Jonathan; Livingston, David; Shader, Bryan L.
2018
On projection of a positive definite matrix on a cone of nonnegative definite Toeplitz matrices. Zbl 1406.15028
Filipiak, Katarzyna; Markiewicz, Augustyn; Mieldzioc, Adam; Sawikowska, Aneta
2018
Estimators comparison of separable covariance structure with one component as compound symmetry matrix. Zbl 1406.15020
Filipiak, Katarzyna; Klein, Daniel; Mokrzycka, Monika
2018
Commutators involving matrix functions. Zbl 1406.15011
Kan, Osman; Solak, Süleyman
2018
The general $$\phi$$-Hermitian solution to mixed pairs of quaternion matrix Sylvester equations. Zbl 1386.15017
He, Zhuo-Heng; Liu, Jianzhen; Tam, Tin-Yau
2017
On one-sided $$(b, c)$$-inverses of arbitrary matrices. Zbl 1386.15016
Benitez, Julio; Boasso, Enrico; Jin, Hongwei
2017
On the distance signless Laplacian spectral radius of graphs and digraphs. Zbl 1433.05202
Li, Dan; Wang, Guoping; Meng, Jixiang
2017
Solutions of the system of operator equations $$BXA=B=AXB$$ via the $$*$$-order. Zbl 1375.15028
2017
From convergence in measure to convergence of matrix-sequences through concave functions and singular values. Zbl 1386.15023
Barbarino, Giovanni; Garoni, Carlo
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
2017
Euler-Richardson method preconditioned by weakly stochastic matrix algebras: a potential contribution to PageRank computation. Zbl 1375.15051
Cipolla, Stefano; Di Fiore, Carmine; Tudisco, Francesco
2017
The enhanced principal rank characteristic sequence over a field of characteristic 2. Zbl 1375.15010
Martínez-Rivera, Xavier
2017
On the location of eigenvalues of real matrices. Zbl 1375.15016
Marsli, Rachid; Hall, Frank J.
2017
On the closure of the completely positive semidefinite cone and linear approximations to quantum colorings. Zbl 1375.15049
Burgdorf, Sabine; Laurent, Monique; Piovesan, Teresa
2017
Orthogonal representations, projective rank, and fractional minimum positive semidefinite rank: connections and new directions. Zbl 1375.15043
Hogben, Leslie; Palmowski, Kevin F.; Roberson, David E.; Severini, Simone
2017
Decomposition of approaches of a general linear model with fixed parameters. Zbl 1381.62102
Jiang, Bo; Tian, Yongge
2017
A new kind of companion matrix. Zbl 1375.15012
Chan, Eunice Y. S.; Corless, Robert M.
2017
Self-interlacing polynomials. II: Matrices with self-interlacing spectrum. Zbl 1375.15019
Tyaglov, Mikhail
2017
Eventual cone invariance. Zbl 1375.15052
Kasigwa, Michael; Tsatsomeros, Michael J.
2017
LIGHTS OUT! on Cartesian products. Zbl 1386.05113
Peters, Travis; Goldwasser, John; Young, Michael
2017
Singular value and norm inequalities associated with $$2\times 2$$ positive semidefinite block matrices. Zbl 1375.15032
2017
Inverses of bicyclic graphs. Zbl 1375.05165
Panda, Swarup Kumar
2017
...and 649 more Documents
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#### Cited by 3,196 Authors

 39 Tian, Yongge 33 Johnson, Charles Royal 32 Dopico, Froilán M. 31 Hogben, Leslie 31 Mosić, Dijana 30 Li, Shuchao 30 Wang, Qingwen 26 Soto, Ricardo Lorenzo 24 Fallat, Shaun M. 24 Wei, Yimin 23 Mehrmann, Volker 23 Terwilliger, Paul M. 22 de Terán, Fernando 21 Chen, Jianlong 20 Das, Kinkar Chandra 20 Nomura, Kazumasa 20 Peña, Juan Manuel 20 van den Driessche, Pauline 19 Mehl, Christian 19 Rodman, Leiba X. 19 Rojo, Oscar L. 19 Song, Guangjing 18 Macías-Díaz, Jorge Eduardo 18 Olesky, D. Dale 18 Shader, Bryan L. 18 Stanimirović, Predrag S. 17 Bu, Changjiang 17 He, ZhuoHeng 17 Kyrchei, Ivan I. 16 Spitkovsky, Ilya Matvey 16 Wong, Dein 15 Đorđević, Dragan S. 15 Liu, Muhuo 15 van der Holst, Hein 14 Deng, Chunyuan 14 Dmytryshyn, Andrii R. 14 Gao, Suogang 14 Hou, Bo 14 Li, Chaoqian 14 Li, Zhongshan 14 Nakazato, Hiroshi 14 Niezgoda, Marek 14 Robbiano, María 14 Sergeichuk, Vladimir Vasil’evich 14 Shu, Jinlong 14 Tang, Xiaomin 14 Zhou, Bo 13 Bapat, Ravindra Bhalchandra 13 Cvetković-Ilić, Dragana S. 13 Hall, Frank J. 13 Lin, Huiqiu 13 Mackey, D. Steven 13 Moslehian, Mohammad Sal 13 Niroomand, Peyman 13 Psarrakos, Panayiotis J. 13 Sivakumar, Koratti Chengalrayan 12 Dehghan Takht Fooladi, Mehdi 12 Furtado, Susana 12 Hajarian, Masoud 12 Li, Chi-Kwong 12 Mcdonald, Judith Joanne 12 Paul, Somnath 12 Ran, André C. M. 12 Tian, Fenglei 12 Wang, Ligong 12 Zhou, Jiang 11 Bebiano, Natália Isabel Quadros 11 Chien, Mao-Ting 11 da Providência Santarém e Costa, João 11 Fan, Yizheng 11 Gutman, Ivan M. 11 Huang, Ting-Zhu 11 Kirkland, Steve J. 11 Ma, Changfeng 11 Noferini, Vanni 11 Pérez, Javier J. 11 Šmigoc, Helena 11 Urbano, Ana María 11 Van Dooren, Paul M. 11 Yu, Guanglong 10 Andrade, Enide 10 Belardo, Francesco 10 da Fonseca, Carlos Martins 10 Fernandes, Rosário 10 Gao, Wei 10 Guo, Shuguang 10 Hall, H. Tracy 10 Jiang, Bo 10 Katsikis, Vasilios N. 10 Kittaneh, Fuad 10 Laffey, Thomas J. 10 Lin, Jephian Chin-Hung 10 Seeger, Alberto 10 Tian, Guixian 10 Trevisan, Vilmar 10 Tsatsomeros, Michael J. 10 Zhang, Xiaodong 9 Adm, Mohammad 9 Alam, Rafikul 9 Barrett, Wayne W. ...and 3,096 more Authors
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#### Cited in 383 Journals

 966 Linear Algebra and its Applications 197 Linear and Multilinear Algebra 147 Applied Mathematics and Computation 90 ELA. The Electronic Journal of Linear Algebra 55 Discrete Mathematics 53 Discrete Applied Mathematics 45 Special Matrices 40 Journal of Computational and Applied Mathematics 39 SIAM Journal on Matrix Analysis and Applications 36 Journal of Mathematical Analysis and Applications 33 Computers & Mathematics with Applications 30 Journal of Applied Mathematics and Computing 26 Advances in Applied Clifford Algebras 25 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 24 Journal of Inequalities and Applications 21 Applied Mathematics Letters 18 Discrete Mathematics, Algorithms and Applications 17 Journal of Optimization Theory and Applications 16 Communications in Algebra 16 Aequationes Mathematicae 16 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 15 Numerical Algorithms 15 Operators and Matrices 15 Open Mathematics 14 Czechoslovak Mathematical Journal 14 Applied Numerical Mathematics 14 Computational and Applied Mathematics 13 BIT 13 Graphs and Combinatorics 13 Optimization Letters 12 Journal of the Franklin Institute 12 Proceedings of the American Mathematical Society 12 Discussiones Mathematicae. Graph Theory 12 Mathematical Problems in Engineering 11 Journal of Global Optimization 11 Journal of Mathematical Sciences (New York) 11 Abstract and Applied Analysis 10 Integral Equations and Operator Theory 10 Results in Mathematics 10 Journal of Applied Mathematics 9 Journal of Mathematical Physics 9 Bulletin of the Iranian Mathematical Society 9 Mathematical Programming. Series A. Series B 9 Positivity 9 Mathematical Inequalities & Applications 9 Central European Journal of Mathematics 9 Mediterranean Journal of Mathematics 9 Banach Journal of Mathematical Analysis 8 Indian Journal of Pure & Applied Mathematics 8 Calcolo 8 Journal of Algebra 8 Theoretical Computer Science 8 European Journal of Combinatorics 8 Numerical Linear Algebra with Applications 8 The Electronic Journal of Combinatorics 7 Automatica 7 Applied Mathematical Modelling 7 Journal of Combinatorial Optimization 7 Journal of Algebra and its Applications 7 Asian-European Journal of Mathematics 7 Annals of Functional Analysis 7 Journal of Mathematics 7 Advances in Operator Theory 6 Mathematics of Computation 6 International Journal of Mathematics and Mathematical Sciences 6 Numerische Mathematik 6 Systems & Control Letters 6 The Australasian Journal of Combinatorics 6 Computational Optimization and Applications 6 Turkish Journal of Mathematics 6 Advances in Computational Mathematics 6 Acta Mathematica Sinica. English Series 6 Complex Analysis and Operator Theory 6 Transactions on Combinatorics 6 Electronic Journal of Graph Theory and Applications 6 Journal of Linear and Topological Algebra 5 Journal of Computational Physics 5 Rocky Mountain Journal of Mathematics 5 Journal of Combinatorial Theory. Series A 5 Journal of Statistical Planning and Inference 5 Quaestiones Mathematicae 5 Mathematical and Computer Modelling 5 Journal of Algebraic Combinatorics 5 ETNA. Electronic Transactions on Numerical Analysis 5 Frontiers of Mathematics in China 5 Journal of Mathematical Inequalities 5 International Journal of Applied and Computational Mathematics 4 Bulletin of the Australian Mathematical Society 4 Journal of Geometry and Physics 4 Beiträge zur Algebra und Geometrie 4 Acta Mathematica Vietnamica 4 Journal of Combinatorial Theory. Series B 4 Transactions of the American Mathematical Society 4 Bulletin of the Korean Mathematical Society 4 Optimization 4 Journal of Symbolic Computation 4 MCSS. Mathematics of Control, Signals, and Systems 4 Annals of Operations Research 4 International Journal of Computer Mathematics 4 SIAM Journal on Optimization ...and 283 more Journals
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#### Cited in 57 Fields

 1,785 Linear and multilinear algebra; matrix theory (15-XX) 961 Combinatorics (05-XX) 542 Numerical analysis (65-XX) 321 Operator theory (47-XX) 147 Operations research, mathematical programming (90-XX) 103 Associative rings and algebras (16-XX) 91 Functional analysis (46-XX) 90 Systems theory; control (93-XX) 89 Nonassociative rings and algebras (17-XX) 68 Quantum theory (81-XX) 61 Ordinary differential equations (34-XX) 57 Special functions (33-XX) 56 Computer science (68-XX) 54 Number theory (11-XX) 50 Probability theory and stochastic processes (60-XX) 50 Statistics (62-XX) 46 Group theory and generalizations (20-XX) 41 Real functions (26-XX) 40 Order, lattices, ordered algebraic structures (06-XX) 37 Biology and other natural sciences (92-XX) 30 Partial differential equations (35-XX) 30 Information and communication theory, circuits (94-XX) 28 Algebraic geometry (14-XX) 26 Dynamical systems and ergodic theory (37-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 24 Functions of a complex variable (30-XX) 24 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 21 Field theory and polynomials (12-XX) 20 Convex and discrete geometry (52-XX) 19 Difference and functional equations (39-XX) 16 Commutative algebra (13-XX) 16 Mechanics of particles and systems (70-XX) 14 Differential geometry (53-XX) 12 Topological groups, Lie groups (22-XX) 12 Approximations and expansions (41-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Fluid mechanics (76-XX) 9 Geometry (51-XX) 9 General topology (54-XX) 7 $$K$$-theory (19-XX) 6 Mathematical logic and foundations (03-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Manifolds and cell complexes (57-XX) 5 Mechanics of deformable solids (74-XX) 4 Sequences, series, summability (40-XX) 4 Integral transforms, operational calculus (44-XX) 4 Algebraic topology (55-XX) 3 General and overarching topics; collections (00-XX) 3 Measure and integration (28-XX) 2 History and biography (01-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral equations (45-XX) 1 General algebraic systems (08-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX)