# zbMATH — the first resource for mathematics

## Berman, Abraham S.

Compute Distance To:
 Author ID: berman.abraham-s Published as: Berman, A.; Berman, A. S.; Berman, Abraham; Berman, Abraham S.
 Documents Indexed: 117 Publications since 1953, including 10 Books Biographic References: 2 Publications
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#### Co-Authors

 16 single-authored 15 Shaked-Monderer, Naomi 11 Hershkowitz, Daniel 10 Plemmons, Robert James 6 Shasha, Dafna 6 Zhang, Xiaodong 5 Ben-Israel, Adi 5 Kotzig, Anton 5 Shorten, Robert N. 4 Dür, Mirjam 4 Neumann, Michael 3 Goldberg, Felix 3 Laffey, Thomas J. 3 Rajesh Kannan, M. 3 Stern, Ronald Jay 3 Xu, Changqing 2 Bomze, Immanuel M. 2 Censor, Yair 2 Farber, Miriam 2 Goldberg, Moshe 2 Lerer, Leonid Efimovich 2 Lundgren, Thomas S. 2 Singh, Ranveer 2 Ward, Robert C. 1 Aharoni, Ron 1 Barker, George Phillip 1 Bradford, John W. 1 Brunn, Peter O. 1 Catral, Minerva 1 Chen, Dongmei 1 Chen, Zhibing 1 Cheng, Aijun 1 DeAlba, Luz Maria 1 Elhashash, Abed 1 Gaiha, Prabha 1 Grone, Robert D. 1 Hall, Frank J. 1 Hogben, Leslie 1 Jarre, Florian 1 Johnson, Charles Royal 1 Kessler, Ofra 1 Kim, In-Jae 1 King, Christopher K. 1 Kogan, Natalia 1 Koichu, Boris 1 Krupnik, Mark 1 Leikin, Roza 1 Leith, Douglas J. 1 Leizarowitz, Arie 1 Liang, Wen-Zhe 1 Loewy, Raphael 1 Olesky, D. Dale 1 Panda, Swarup Kumar 1 Parlett, Beresford Neill 1 Prager, Stephen 1 Rothblum, Uriel George 1 Sabidussi, Gert 1 Saunders, B. David 1 Schachinger, Werner 1 Schlote, Arieh 1 Schneider, Hans 1 Tarazaga, Pablo A. 1 Tarsy, Michael 1 Tsatsomeros, Michael J. 1 van den Driessche, Pauline 1 Wirth, Fabian Roger 1 Witzel, Julia 1 Zheng, Cheng
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#### Serials

 41 Linear Algebra and its Applications 10 Linear and Multilinear Algebra 5 ELA. The Electronic Journal of Linear Algebra 3 Discrete Mathematics 3 SIAM Journal on Applied Mathematics 2 Journal of Fluid Mechanics 2 Canadian Mathematical Bulletin 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Numerical Analysis 2 SIAM Journal on Algebraic and Discrete Methods 2 SIAM Journal on Matrix Analysis and Applications 2 Journal of Applied Physics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics of Fluids 1 Acta Mathematica Vietnamica 1 Bulletin of the Calcutta Mathematical Society 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Combinatorial Theory. Series B 1 Kyungpook Mathematical Journal 1 Mathematical Programming 1 Advances in Applied Mathematics 1 Mathematical Inequalities & Applications 1 Oberwolfach Reports 1 Bulletin of the American Mathematical Society 1 Classics in Applied Mathematics 1 Optimization Letters 1 Involve 1 Pure and Applied Functional Analysis
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#### Fields

 80 Linear and multilinear algebra; matrix theory (15-XX) 29 Combinatorics (05-XX) 17 Operations research, mathematical programming (90-XX) 15 Systems theory; control (93-XX) 10 Numerical analysis (65-XX) 8 General and overarching topics; collections (00-XX) 7 Ordinary differential equations (34-XX) 3 Convex and discrete geometry (52-XX) 3 Fluid mechanics (76-XX) 2 Number theory (11-XX) 2 Group theory and generalizations (20-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH

85 Publications have been cited 3,897 times in 3,329 Documents Cited by Year
Nonnegative matrices in the mathematical sciences. Zbl 0484.15016
Berman, Abraham; Plemmons, Robert J.
1979
Nonnegative matrices in the mathematical sciences. Zbl 0815.15016
Berman, Abraham; Plemmons, Robert J.
1994
Laminar flow in channels with porous walls. Zbl 0050.41101
Berman, Abraham S.
1953
Completely positive matrices. Zbl 1030.15022
Berman, Abraham; Shaked-Monderer, Naomi
2003
Nonnegative matrices in dynamic systems. Zbl 0723.93013
Berman, Abraham; Neumann, Michael; Stern, Ronald Jay
1989
Cones and iterative methods for best least squares solutions of linear systems. Zbl 0244.65024
Berman, Abraham; Plemmons, Robert J.
1974
On the spectral radius of graphs with cut vertices. Zbl 1023.05098
Berman, Abraham; Zhang, Xiao-Dong
2001
Positive diagonal solutions to the Lyapunov equations. Zbl 0385.15006
Barker, G. P.; Berman, A.; Plemmons, R. J.
1978
Cones, matrices and mathematical programming. Zbl 0256.90002
Berman, A.
1973
Some properties of strong $$\mathcal{H}$$-tensors and general $$\mathcal{H}$$-tensors. Zbl 1316.15029
Rajesh Kannan, M.; Shaked-Monderer, Naomi; Berman, Abraham
2015
Monotonicity and the generalized inverse. Zbl 0255.15005
Berman, Abraham; Plemmons, Robert J.
1972
Characterization of completely positive graphs. Zbl 0783.05071
Kogan, Natalia; Berman, Abraham
1993
Eight types of matrix monotonicity. Zbl 0341.15013
Berman, A.; Plemmons, R. J.
1976
Matrix diagonal stability and its implications. Zbl 0547.15009
Berman, Abraham; Hershkowitz, Daniel
1983
Proper splittings of rectangular matrices. Zbl 0352.65017
Berman, Abraham; Neumann, Michael
1976
Inverses of nonnegative matrices. Zbl 0328.15003
Berman, Abraham; Plemmons, Robert J.
1974
Matrix group monotonicity. Zbl 0312.15002
Berman, Abraham; Plemmons, Robert J.
1974
Combinatorial results on completely positive matrices. Zbl 0623.05040
Berman, Abraham; Hershkowitz, Daniel
1987
Bipartite completely positive matrices. Zbl 0658.15019
Berman, Abraham; Grone, Robert
1988
Consistency and splittings. Zbl 0368.65023
Berman, Abraham; Neumann, Michael
1976
The maximal cp-rank of rank $$k$$ completely positive matrices. Zbl 1042.15012
Barioli, F.; Berman, A.
2003
New results on the cp-rank and related properties of co(mpletely) positive matrices. Zbl 1310.15064
Shaked-Monderer, Naomi; Berman, Abraham; Bomze, Immanuel M.; Jarre, Florian; Schachinger, Werner
2015
Lower bounds for the eigenvalues of Laplacian matrices. Zbl 0958.15014
Berman, Abraham; Zhang, Xiao-Dong
2000
$$\mathcal A\mathcal L\wp\mathcal S$$: Matrices with nonpositive off-diagonal entries. Zbl 0401.15018
Berman, A.; Varga, R. S.; Ward, R. C.
1978
A note on the computation of the CP-rank. Zbl 1105.65038
Berman, Abraham; Rothblum, Uriel G.
2006
Classes of stable and semipositive matrices. Zbl 0386.15015
Berman, Abraham; Ward, Robert C.
1978
Laminar flow in an annulus with porous walls. Zbl 0080.18903
Berman, Abraham S.
1958
Characterization of acyclic D-stable matrices. Zbl 0543.15015
Berman, Abraham; Hershkowitz, Daniel
1984
More on linear inequalities with applications to matrix theory. Zbl 0221.15014
1971
Sign patterns that allow eventual positivity. Zbl 1190.15031
Berman, Abraham; Catral, Minerva; Dealba, Luz Maria; Elhashash, Abed; Hall, Frank J.; Hogben, Leslie; Kim, In-Jae; Olesky, Dale D.; Tarazaga, Pablo; Tsatsomeros, Michael J.; van den Driessche, Pauline
2009
Cross-cloning and antipodal graphs. Zbl 0667.05048
Berman, Abraham; Kotzig, Anton
1988
An interior points algorithm for the convex feasibility problem. Zbl 0489.52005
Aharoni, Ron; Berman, Abraham; Censor, Yair
1983
Nonnegative matrices which are equal to their generalized inverse. Zbl 0312.15009
Berman, Abraham
1974
On weakly irreducible nonnegative tensors and interval hull of some classes of tensors. Zbl 1342.15022
Kannan, M. Rajesh; Shaked-Monderer, Naomi; Berman, Abraham
2016
Remarks on completely positive matrices. Zbl 0931.15016
Berman, Abraham; Shaked-Monderer, Naomi
1998
Complete positivity. Zbl 0651.15019
Berman, Abraham
1988
Linear equations over cones with interior: a solvability theorem with applications to matrix theory. Zbl 0254.15010
1973
A generalization of irreducible monotonicity. Zbl 0247.15011
Berman, Abraham; Gaiha, Prabha
1972
Linear transformations that preserve certain positivity classes of matrices. Zbl 0583.15013
Berman, Abraham; Hershkowitz, Daniel; Johnson, Charles R.
1985
Localization of the spectra of $$P$$- and $$P_0$$-matrices. Zbl 0516.15009
Hershkowitz, Daniel; Berman, Abraham
1983
$$\{0,1\}$$ completely positive matrices. Zbl 1072.15027
Berman, Abraham; Xu, Changqing
2005
$$5 \times 5$$ completely positive matrices. Zbl 1067.15019
Berman, Abraham; Xu, Changqing
2004
Positive matrices associated with synchronised communication networks. Zbl 1062.93024
Berman, Abraham; Shorten, Robert; Leith, Douglas
2004
More on the uniqueness of the Lyapunov scaling factors. Zbl 0661.15015
Shasha, Dafna; Berman, Abraham
1988
Graph theoretical methods in studying stability. Zbl 0583.15010
Berman, Abraham; Hershkowitz, Daniel
1985
Notes on $$\omega$$- and $$\tau$$-matrices. Zbl 0543.15014
Hershkowitz, Daniel; Berman, Abraham
1984
Two-fluid spin-up in a centrifuge. Zbl 0377.76089
Berman, A. S.; Bradford, J.; Lundgren, T. S.
1978
A note on pencils of Hermitian or symmetric matrices. Zbl 0218.15008
Berman, A.; Ben-Israel, A.
1971
A characterisation of common diagonal stability over cones. Zbl 1260.15049
Berman, Abraham; King, Christopher; Shorten, Robert
2012
Uniform and minimal $$\{0,1\}$$ - $$cp$$ matrices. Zbl 1133.15012
Berman, Abraham; Xu, Changqing
2007
Completely positive graphs. Zbl 0792.05095
Berman, Abraham
1993
Nonnegative generalized inverses of powers of non-negative matrices. Zbl 0651.15006
Berman, A.; Jain, Surender Kumar
1988
On the uniqueness of the Lyapunov scaling factors. Zbl 0627.15007
Shasha, Dafna; Berman, Abraham
1987
Cone reachability for nondiagonable linear differential systems. Zbl 0594.34025
Berman, Abraham; Neumann, Michael; Stern, Ronald J.
1986
Necessary conditions and a sufficient condition for the Fischer-Hadamard inequalities. Zbl 0507.15016
Hershkowitz, Daniel; Berman, Abraham
1983
Linear inequalities, mathematical programming and matrix theory. Zbl 0249.90037
1971
Completely positive matrices: real, rational, and integral. Zbl 1401.15036
Berman, Abraham; Shaked-Monderer, Naomi
2018
A family of graphs that are determined by their normalized Laplacian spectra. Zbl 1385.05045
Berman, Abraham; Chen, Dong-Mei; Chen, Zhi-Bing; Liang, Wen-Zhe; Zhang, Xiao-Dong
2018
Comments on Lyapunov $$\alpha$$-stability with some extension. Zbl 1330.93175
Berman, Abraham; Goldberg, Felix; Shorten, Robert
2014
Zero forcing for sign patterns. Zbl 1288.05156
Goldberg, Felix; Berman, Abraham
2014
A note on degree antiregular graphs. Zbl 0961.05049
Berman, Abraham; Zhang, Xiao-Dong
2000
Inertia-preserving matrices. Zbl 0733.15004
Berman, Abraham; Shasha, Dafna
1991
Matrices with a transitive graph and inverse M-matrices. Zbl 0606.05044
Kessler, Ofra; Berman, Abraham
1985
Diagonal scaling to an orthogonal matrix. Zbl 0498.65024
Berman, A.; Parlett, B. N.; Plemmons, R. J.
1981
Bipartite graphs with a central symmetry and (1,-1)-matrices. Zbl 0446.05025
Berman, Abraham; Kotzig, Anton
1980
Stability and semipositivity of real matrices. Zbl 0352.15010
Berman, Abraham; Ward, Robert C.
1977
Complementarity problem and duality over convex cones. Zbl 0337.90055
Berman, Abraham
1974
SPN completable graphs. Zbl 1334.15069
Shaked-Monderer, Naomi; Berman, Abraham; Dür, Mirjam; Rajesh Kannan, M.
2016
A lower bound for the second largest Laplacian eigenvalue of weighted graphs. Zbl 1252.05111
Berman, Abraham; Farber, Miriam
2011
On the Colin de Verdière number of graphs. Zbl 1221.05259
Goldberg, Felix; Berman, Abraham
2011
Bipartite density of cubic graphs. Zbl 1012.05110
Berman, Abraham; Zhang, Xiao-Dong
2003
A note on simultaneously diagonalizable matrices. Zbl 0889.15009
Berman, Abraham; Plemmons, Robert J.
1998
Strongly inertia-preserving matrices. Zbl 0813.15015
Berman, Abraham; Shasha, Dafna
1994
More on extremal positive semidefinite doubly stochastic matrices. Zbl 0758.15016
Shaked-Monderer, Naomi; Berman, Abraham
1992
Antipodal graphs of diameter 4 and extremal girth. Zbl 0722.05042
Berman, Abraham; Kotzig, Anton; Sabidussi, Gert
1990
Matrices with zero line sums and maximal rank. Zbl 0478.15013
Berman, Abraham; Saunders, B. David
1981
Matrices and the linear complementarity problem. Zbl 0465.90086
Berman, Abraham
1981
Nonnegative matrices – old problems, new applications. Zbl 1114.15015
Berman, Abraham
2006
On the second eigenvalue of matrices associated with TCP. Zbl 1101.15022
Berman, Abraham; Laffey, Thomas; Leizarowitz, Arie; Shorten, Robert
2006
Similarity classes and principal submatrices. Zbl 1088.15016
Berman, Abraham; Laffey, Thomas J.
2005
Set inertia-preserving matrices. Zbl 0891.15005
Berman, Abraham; Shasha, Dafna
1997
Linear feedback, irreducibility, and M-matrices. Zbl 0663.93019
Berman, Abraham; Stern, Ronald J.
1987
Asynchronous whirl in a rotating cylinder partially filled with liquid. Zbl 0554.76085
Berman, A. S.; Lundgren, T. S.; Cheng, A.
1985
Skew Hadamard matrices of order 16. Zbl 0497.05018
Berman, Abraham
1982
The spectral radius of a non-negative matrix. Zbl 0375.15004
Berman, A.
1978
Completely positive matrices: real, rational, and integral. Zbl 1401.15036
Berman, Abraham; Shaked-Monderer, Naomi
2018
A family of graphs that are determined by their normalized Laplacian spectra. Zbl 1385.05045
Berman, Abraham; Chen, Dong-Mei; Chen, Zhi-Bing; Liang, Wen-Zhe; Zhang, Xiao-Dong
2018
On weakly irreducible nonnegative tensors and interval hull of some classes of tensors. Zbl 1342.15022
Kannan, M. Rajesh; Shaked-Monderer, Naomi; Berman, Abraham
2016
SPN completable graphs. Zbl 1334.15069
Shaked-Monderer, Naomi; Berman, Abraham; Dür, Mirjam; Rajesh Kannan, M.
2016
Some properties of strong $$\mathcal{H}$$-tensors and general $$\mathcal{H}$$-tensors. Zbl 1316.15029
Rajesh Kannan, M.; Shaked-Monderer, Naomi; Berman, Abraham
2015
New results on the cp-rank and related properties of co(mpletely) positive matrices. Zbl 1310.15064
Shaked-Monderer, Naomi; Berman, Abraham; Bomze, Immanuel M.; Jarre, Florian; Schachinger, Werner
2015
Comments on Lyapunov $$\alpha$$-stability with some extension. Zbl 1330.93175
Berman, Abraham; Goldberg, Felix; Shorten, Robert
2014
Zero forcing for sign patterns. Zbl 1288.05156
Goldberg, Felix; Berman, Abraham
2014
A characterisation of common diagonal stability over cones. Zbl 1260.15049
Berman, Abraham; King, Christopher; Shorten, Robert
2012
A lower bound for the second largest Laplacian eigenvalue of weighted graphs. Zbl 1252.05111
Berman, Abraham; Farber, Miriam
2011
On the Colin de Verdière number of graphs. Zbl 1221.05259
Goldberg, Felix; Berman, Abraham
2011
Sign patterns that allow eventual positivity. Zbl 1190.15031
Berman, Abraham; Catral, Minerva; Dealba, Luz Maria; Elhashash, Abed; Hall, Frank J.; Hogben, Leslie; Kim, In-Jae; Olesky, Dale D.; Tarazaga, Pablo; Tsatsomeros, Michael J.; van den Driessche, Pauline
2009
Uniform and minimal $$\{0,1\}$$ - $$cp$$ matrices. Zbl 1133.15012
Berman, Abraham; Xu, Changqing
2007
A note on the computation of the CP-rank. Zbl 1105.65038
Berman, Abraham; Rothblum, Uriel G.
2006
Nonnegative matrices – old problems, new applications. Zbl 1114.15015
Berman, Abraham
2006
On the second eigenvalue of matrices associated with TCP. Zbl 1101.15022
Berman, Abraham; Laffey, Thomas; Leizarowitz, Arie; Shorten, Robert
2006
$$\{0,1\}$$ completely positive matrices. Zbl 1072.15027
Berman, Abraham; Xu, Changqing
2005
Similarity classes and principal submatrices. Zbl 1088.15016
Berman, Abraham; Laffey, Thomas J.
2005
$$5 \times 5$$ completely positive matrices. Zbl 1067.15019
Berman, Abraham; Xu, Changqing
2004
Positive matrices associated with synchronised communication networks. Zbl 1062.93024
Berman, Abraham; Shorten, Robert; Leith, Douglas
2004
Completely positive matrices. Zbl 1030.15022
Berman, Abraham; Shaked-Monderer, Naomi
2003
The maximal cp-rank of rank $$k$$ completely positive matrices. Zbl 1042.15012
Barioli, F.; Berman, A.
2003
Bipartite density of cubic graphs. Zbl 1012.05110
Berman, Abraham; Zhang, Xiao-Dong
2003
On the spectral radius of graphs with cut vertices. Zbl 1023.05098
Berman, Abraham; Zhang, Xiao-Dong
2001
Lower bounds for the eigenvalues of Laplacian matrices. Zbl 0958.15014
Berman, Abraham; Zhang, Xiao-Dong
2000
A note on degree antiregular graphs. Zbl 0961.05049
Berman, Abraham; Zhang, Xiao-Dong
2000
Remarks on completely positive matrices. Zbl 0931.15016
Berman, Abraham; Shaked-Monderer, Naomi
1998
A note on simultaneously diagonalizable matrices. Zbl 0889.15009
Berman, Abraham; Plemmons, Robert J.
1998
Set inertia-preserving matrices. Zbl 0891.15005
Berman, Abraham; Shasha, Dafna
1997
Nonnegative matrices in the mathematical sciences. Zbl 0815.15016
Berman, Abraham; Plemmons, Robert J.
1994
Strongly inertia-preserving matrices. Zbl 0813.15015
Berman, Abraham; Shasha, Dafna
1994
Characterization of completely positive graphs. Zbl 0783.05071
Kogan, Natalia; Berman, Abraham
1993
Completely positive graphs. Zbl 0792.05095
Berman, Abraham
1993
More on extremal positive semidefinite doubly stochastic matrices. Zbl 0758.15016
Shaked-Monderer, Naomi; Berman, Abraham
1992
Inertia-preserving matrices. Zbl 0733.15004
Berman, Abraham; Shasha, Dafna
1991
Antipodal graphs of diameter 4 and extremal girth. Zbl 0722.05042
Berman, Abraham; Kotzig, Anton; Sabidussi, Gert
1990
Nonnegative matrices in dynamic systems. Zbl 0723.93013
Berman, Abraham; Neumann, Michael; Stern, Ronald Jay
1989
Bipartite completely positive matrices. Zbl 0658.15019
Berman, Abraham; Grone, Robert
1988
Cross-cloning and antipodal graphs. Zbl 0667.05048
Berman, Abraham; Kotzig, Anton
1988
Complete positivity. Zbl 0651.15019
Berman, Abraham
1988
More on the uniqueness of the Lyapunov scaling factors. Zbl 0661.15015
Shasha, Dafna; Berman, Abraham
1988
Nonnegative generalized inverses of powers of non-negative matrices. Zbl 0651.15006
Berman, A.; Jain, Surender Kumar
1988
Combinatorial results on completely positive matrices. Zbl 0623.05040
Berman, Abraham; Hershkowitz, Daniel
1987
On the uniqueness of the Lyapunov scaling factors. Zbl 0627.15007
Shasha, Dafna; Berman, Abraham
1987
Linear feedback, irreducibility, and M-matrices. Zbl 0663.93019
Berman, Abraham; Stern, Ronald J.
1987
Cone reachability for nondiagonable linear differential systems. Zbl 0594.34025
Berman, Abraham; Neumann, Michael; Stern, Ronald J.
1986
Linear transformations that preserve certain positivity classes of matrices. Zbl 0583.15013
Berman, Abraham; Hershkowitz, Daniel; Johnson, Charles R.
1985
Graph theoretical methods in studying stability. Zbl 0583.15010
Berman, Abraham; Hershkowitz, Daniel
1985
Matrices with a transitive graph and inverse M-matrices. Zbl 0606.05044
Kessler, Ofra; Berman, Abraham
1985
Asynchronous whirl in a rotating cylinder partially filled with liquid. Zbl 0554.76085
Berman, A. S.; Lundgren, T. S.; Cheng, A.
1985
Characterization of acyclic D-stable matrices. Zbl 0543.15015
Berman, Abraham; Hershkowitz, Daniel
1984
Notes on $$\omega$$- and $$\tau$$-matrices. Zbl 0543.15014
Hershkowitz, Daniel; Berman, Abraham
1984
Matrix diagonal stability and its implications. Zbl 0547.15009
Berman, Abraham; Hershkowitz, Daniel
1983
An interior points algorithm for the convex feasibility problem. Zbl 0489.52005
Aharoni, Ron; Berman, Abraham; Censor, Yair
1983
Localization of the spectra of $$P$$- and $$P_0$$-matrices. Zbl 0516.15009
Hershkowitz, Daniel; Berman, Abraham
1983
Necessary conditions and a sufficient condition for the Fischer-Hadamard inequalities. Zbl 0507.15016
Hershkowitz, Daniel; Berman, Abraham
1983
Skew Hadamard matrices of order 16. Zbl 0497.05018
Berman, Abraham
1982
Diagonal scaling to an orthogonal matrix. Zbl 0498.65024
Berman, A.; Parlett, B. N.; Plemmons, R. J.
1981
Matrices with zero line sums and maximal rank. Zbl 0478.15013
Berman, Abraham; Saunders, B. David
1981
Matrices and the linear complementarity problem. Zbl 0465.90086
Berman, Abraham
1981
Bipartite graphs with a central symmetry and (1,-1)-matrices. Zbl 0446.05025
Berman, Abraham; Kotzig, Anton
1980
Nonnegative matrices in the mathematical sciences. Zbl 0484.15016
Berman, Abraham; Plemmons, Robert J.
1979
Positive diagonal solutions to the Lyapunov equations. Zbl 0385.15006
Barker, G. P.; Berman, A.; Plemmons, R. J.
1978
$$\mathcal A\mathcal L\wp\mathcal S$$: Matrices with nonpositive off-diagonal entries. Zbl 0401.15018
Berman, A.; Varga, R. S.; Ward, R. C.
1978
Classes of stable and semipositive matrices. Zbl 0386.15015
Berman, Abraham; Ward, Robert C.
1978
Two-fluid spin-up in a centrifuge. Zbl 0377.76089
Berman, A. S.; Bradford, J.; Lundgren, T. S.
1978
The spectral radius of a non-negative matrix. Zbl 0375.15004
Berman, A.
1978
Stability and semipositivity of real matrices. Zbl 0352.15010
Berman, Abraham; Ward, Robert C.
1977
Eight types of matrix monotonicity. Zbl 0341.15013
Berman, A.; Plemmons, R. J.
1976
Proper splittings of rectangular matrices. Zbl 0352.65017
Berman, Abraham; Neumann, Michael
1976
Consistency and splittings. Zbl 0368.65023
Berman, Abraham; Neumann, Michael
1976
Cones and iterative methods for best least squares solutions of linear systems. Zbl 0244.65024
Berman, Abraham; Plemmons, Robert J.
1974
Inverses of nonnegative matrices. Zbl 0328.15003
Berman, Abraham; Plemmons, Robert J.
1974
Matrix group monotonicity. Zbl 0312.15002
Berman, Abraham; Plemmons, Robert J.
1974
Nonnegative matrices which are equal to their generalized inverse. Zbl 0312.15009
Berman, Abraham
1974
Complementarity problem and duality over convex cones. Zbl 0337.90055
Berman, Abraham
1974
Cones, matrices and mathematical programming. Zbl 0256.90002
Berman, A.
1973
Linear equations over cones with interior: a solvability theorem with applications to matrix theory. Zbl 0254.15010
1973
Monotonicity and the generalized inverse. Zbl 0255.15005
Berman, Abraham; Plemmons, Robert J.
1972
A generalization of irreducible monotonicity. Zbl 0247.15011
Berman, Abraham; Gaiha, Prabha
1972
More on linear inequalities with applications to matrix theory. Zbl 0221.15014
1971
A note on pencils of Hermitian or symmetric matrices. Zbl 0218.15008
Berman, A.; Ben-Israel, A.
1971
Linear inequalities, mathematical programming and matrix theory. Zbl 0249.90037
1971
Laminar flow in an annulus with porous walls. Zbl 0080.18903
Berman, Abraham S.
1958
Laminar flow in channels with porous walls. Zbl 0050.41101
Berman, Abraham S.
1953
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#### Cited by 3,733 Authors

 74 Neumann, Michael 51 Huang, Ting-Zhu 49 Berman, Abraham S. 42 Hadjidimos, Apostolos 40 Johnson, Charles Royal 32 Wei, Yimin 30 Hershkowitz, Daniel 28 Schneider, Hans 27 Li, Yaotang 27 Sivakumar, Koratti Chengalrayan 26 Song, Yongzhong 24 Li, Wen 24 Plemmons, Robert James 23 van den Driessche, Pauline 22 Cao, Jinde 22 Li, Chaoqian 22 Pham Huu Anh Ngoc 22 Zhang, Xiaodong 21 Tsatsomeros, Michael J. 19 Zheng, Bing 18 Cvetković, Ljiljana 18 Haddad, Wassim Michael 18 Huang, Lihong 18 Jain, Surender Kumar 17 Bai, Zhongzhi 17 Gowda, Muddappa Seetharama 17 Kolotilina, Lily Yu. 17 Ma, Changfeng 17 Qi, Liqun 17 Wang, Yuanming 16 Marek, Ivo 16 Peña, Juan Manuel 15 Hui, Qing 15 Noutsos, Dimitrios 15 Wang, Jinliang 14 Lin, Wen-Wei 14 Mishra, Debasisha 14 Shaked-Monderer, Naomi 14 Tam, Bit-Shun 14 Zheng, Hua 13 Bru, Rafael 13 Elsner, Ludwig F. 13 Guiver, Chris 13 Kuniya, Toshikazu 13 Lam, James 13 Liu, Jianzhou 13 Mayer, Günter 13 Olesky, D. Dale 13 Szyld, Daniel B. 13 Xu, Daoyi 13 Zhao, Jianxing 12 Bomze, Immanuel M. 12 Guo, Chun-Hua 12 Huang, Zhengge 12 Rothblum, Uriel George 12 Shorten, Robert N. 12 Smith, Hal Leslie 12 Tam, Bitshun 12 Tzoumas, Michael G. 11 Barker, George Phillip 11 Benzi, Michele 11 Cui, Jingjing 11 Fan, Jinyan 11 Jiang, Daqing 11 Kirkland, Stephen J. 11 Kostić, Vladimir R. 11 Liu, Xingping 11 Mcdonald, Judith Joanne 11 Smith, Ronald L. 11 Varga, Richard Steven 11 Wang, Chuanlong 11 Wang, Ligong 11 Xia, Yonghui 11 Zhang, Guofeng 11 Zhang, Naimin 11 Zhou, Anwa 10 Cao, Zhihao 10 Dai, Pingfan 10 Frommer, Andreas 10 Kirkland, Steve J. 10 Li, Kelin 10 Liu, Zhongyun 10 Mao, Xuerong 10 Mehrmann, Volker 10 Muroya, Yoshiaki 10 Nabben, Reinhard 10 Shuai, Zhisheng 10 Tao, Jiyuan 10 Wang, Feng 10 Wang, Guangbin 10 Wang, Li 10 Xu, Jianhong 10 Zhang, Chengyi 9 Burer, Samuel 9 Das, Kinkar Chandra 9 Dickinson, Peter J. C. 9 Hayat, Tasawar 9 Kaszkurewicz, Eugenius 9 Liang, Zhao-Zheng 9 Mason, Oliver ...and 3,633 more Authors
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#### Cited in 395 Serials

 822 Linear Algebra and its Applications 171 Applied Mathematics and Computation 116 Journal of Computational and Applied Mathematics 90 Linear and Multilinear Algebra 69 Automatica 63 Computers & Mathematics with Applications 53 Journal of Mathematical Analysis and Applications 51 Systems & Control Letters 48 Numerical Algorithms 40 Numerische Mathematik 40 Numerical Linear Algebra with Applications 37 Applied Mathematics Letters 33 Journal of Mathematical Biology 32 Mathematical Biosciences 31 Journal of the Franklin Institute 29 Mathematical Programming. Series A. Series B 27 SIAM Journal on Algebraic and Discrete Methods 27 Journal of Inequalities and Applications 25 Journal of Optimization Theory and Applications 25 International Journal of Computer Mathematics 24 Applied Numerical Mathematics 23 Chaos, Solitons and Fractals 22 Calcolo 22 Nonlinear Analysis. Real World Applications 21 Computational and Applied Mathematics 20 Discrete Mathematics 20 Physics Letters. A 20 International Journal of Robust and Nonlinear Control 19 International Journal of Control 19 Journal of Computational Physics 18 Positivity 17 Czechoslovak Mathematical Journal 17 Proceedings of the American Mathematical Society 17 Neural Networks 16 Journal of Fluid Mechanics 16 BIT 16 Mathematical Problems in Engineering 16 Advances in Difference Equations 15 Bulletin of Mathematical Biology 15 SIAM Journal on Matrix Analysis and Applications 15 Journal of Global Optimization 15 Journal of Applied Mathematics 13 Mathematics of Computation 13 Journal of Differential Equations 13 Mathematical and Computer Modelling 13 Applied Mathematical Modelling 13 Computational Optimization and Applications 13 Physics of Fluids 13 ELA. The Electronic Journal of Linear Algebra 13 Abstract and Applied Analysis 13 Journal of Applied Mathematics and Computing 13 Journal of Biological Dynamics 12 Mathematics and Computers in Simulation 12 European Journal of Operational Research 12 Journal of Mathematical Sciences (New York) 12 European Journal of Control 11 Journal of Scientific Computing 11 Discrete and Continuous Dynamical Systems. Series B 11 Nonlinear Analysis. Hybrid Systems 10 Journal of Theoretical Biology 9 Mathematical Methods in the Applied Sciences 9 Numerical Functional Analysis and Optimization 9 Physica D 9 Acta Mathematicae Applicatae Sinica. English Series 9 Stochastic Processes and their Applications 9 Special Matrices 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 The Annals of Applied Probability 8 Journal of Difference Equations and Applications 8 Nonlinear Dynamics 8 Journal of Applied Analysis and Computation 8 Open Mathematics 7 Discrete Applied Mathematics 7 International Journal of Systems Science 7 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 7 SIAM Journal on Control and Optimization 7 Theoretical Computer Science 7 Applied Mathematics and Mechanics. (English Edition) 7 Queueing Systems 7 SIAM Journal on Applied Mathematics 7 Communications in Nonlinear Science and Numerical Simulation 7 International Journal of Biomathematics 7 Nonlinear Analysis. Theory, Methods & Applications 6 Acta Mechanica 6 Advances in Applied Probability 6 Applicable Analysis 6 Computers and Fluids 6 Computer Methods in Applied Mechanics and Engineering 6 Information Processing Letters 6 Rocky Mountain Journal of Mathematics 6 Kybernetika 6 Transactions of the American Mathematical Society 6 Acta Applicandae Mathematicae 6 MCSS. Mathematics of Control, Signals, and Systems 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Advances in Computational Mathematics 6 Complexity 6 Acta Mathematica Sinica. English Series 6 International Journal of Applied Mathematics and Computer Science 6 Mathematical Biosciences and Engineering ...and 295 more Serials
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#### Cited in 58 Fields

 1,219 Linear and multilinear algebra; matrix theory (15-XX) 1,011 Numerical analysis (65-XX) 442 Biology and other natural sciences (92-XX) 438 Systems theory; control (93-XX) 397 Ordinary differential equations (34-XX) 360 Operations research, mathematical programming (90-XX) 333 Combinatorics (05-XX) 211 Probability theory and stochastic processes (60-XX) 152 Partial differential equations (35-XX) 151 Fluid mechanics (76-XX) 113 Computer science (68-XX) 110 Dynamical systems and ergodic theory (37-XX) 95 Operator theory (47-XX) 91 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 51 Calculus of variations and optimal control; optimization (49-XX) 49 Difference and functional equations (39-XX) 46 Convex and discrete geometry (52-XX) 38 Statistics (62-XX) 30 Statistical mechanics, structure of matter (82-XX) 29 Classical thermodynamics, heat transfer (80-XX) 28 Functional analysis (46-XX) 25 Integral equations (45-XX) 25 Information and communication theory, circuits (94-XX) 23 Group theory and generalizations (20-XX) 18 Real functions (26-XX) 14 Quantum theory (81-XX) 13 Nonassociative rings and algebras (17-XX) 13 Mechanics of deformable solids (74-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 12 Integral transforms, operational calculus (44-XX) 11 Number theory (11-XX) 10 Algebraic geometry (14-XX) 9 Approximations and expansions (41-XX) 8 Associative rings and algebras (16-XX) 8 Measure and integration (28-XX) 7 General topology (54-XX) 5 History and biography (01-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 General and overarching topics; collections (00-XX) 4 Commutative algebra (13-XX) 4 Sequences, series, summability (40-XX) 4 Geometry (51-XX) 4 Differential geometry (53-XX) 4 Geophysics (86-XX) 3 Mathematical logic and foundations (03-XX) 3 General algebraic systems (08-XX) 3 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Mechanics of particles and systems (70-XX) 2 Field theory and polynomials (12-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Manifolds and cell complexes (57-XX) 2 Optics, electromagnetic theory (78-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-XX) 1 Astronomy and astrophysics (85-XX)