Krupnik, Noam; Berman, Abraham The graphs of pyramids are determined by their spectrum. arXiv:2310.05251 Preprint, arXiv:2310.05251 [math.CO] (2023). MSC: 05C50 15B48 BibTeX Cite \textit{N. Krupnik} and \textit{A. Berman}, ``The graphs of pyramids are determined by their spectrum'', Preprint, arXiv:2310.05251 [math.CO] (2023) Full Text: arXiv OA License
Berman, Abraham; Shaked-Monderer, Naomi Triangle-free graphs and completely positive matrices. (English) Zbl 07557120 CEJOR, Cent. Eur. J. Oper. Res. 30, No. 3, 1093-1099 (2022). MSC: 90Bxx 15A23 15B48 PDFBibTeX XMLCite \textit{A. Berman} and \textit{N. Shaked-Monderer}, CEJOR, Cent. Eur. J. Oper. Res. 30, No. 3, 1093--1099 (2022; Zbl 07557120) Full Text: DOI
Berman, Abraham A problem based journey from elementary number theory to an introduction to matrix theory. The president problems. (English) Zbl 1475.11001 Singapore: World Scientific (ISBN 978-981-12-3487-3/hbk; 978-981-12-3489-7/ebook). xiii, 148 p. (2022). MSC: 11-01 12-01 13-01 15-01 20-01 94A60 00A07 PDFBibTeX XMLCite \textit{A. Berman}, A problem based journey from elementary number theory to an introduction to matrix theory. The president problems. Singapore: World Scientific (2022; Zbl 1475.11001) Full Text: DOI
Berman, Abraham; Borer, Franziska; Hungerbühler, Norbert Lights Out on graphs. (English) Zbl 1502.05162 Math. Semesterber. 68, No. 2, 237-255 (2021). Reviewer: V. Yegnanarayanan (Chennai) MSC: 05C57 15A99 15B33 68Q17 91A43 PDFBibTeX XMLCite \textit{A. Berman} et al., Math. Semesterber. 68, No. 2, 237--255 (2021; Zbl 1502.05162) Full Text: DOI arXiv
Shaked-Monderer, Naomi; Berman, Abraham Copositive and completely positive matrices. 2nd updated and extended edition. (English) Zbl 1459.15002 Hackensack, NJ: World Scientific (ISBN 978-981-12-0434-0/hbk; 978-981-12-0436-4/ebook). x, 551 p. (2021). MSC: 15-02 15B48 15A03 15A23 15B51 PDFBibTeX XMLCite \textit{N. Shaked-Monderer} and \textit{A. Berman}, Copositive and completely positive matrices. 2nd updated and extended edition. Hackensack, NJ: World Scientific (2021; Zbl 1459.15002) Full Text: DOI
Singh, Ranveer; Zheng, Cheng; Shaked-Monderer, Naomi; Berman, Abraham Nonsingular (vertex-weighted) block graphs. (English) Zbl 1448.05038 Linear Algebra Appl. 602, 138-156 (2020). Reviewer: Thomas Britz (Sydney) MSC: 05C05 05C50 15A15 05B05 PDFBibTeX XMLCite \textit{R. Singh} et al., Linear Algebra Appl. 602, 138--156 (2020; Zbl 1448.05038) Full Text: DOI arXiv
Berman, Abraham; Shaked-Monderer, Naomi; Panda, Swarup Kumar Strongly self-inverse weighted graphs. (English) Zbl 1439.05124 Electron. J. Linear Algebra 36, 80-89 (2020). MSC: 05C40 05C22 05C70 15A18 PDFBibTeX XMLCite \textit{A. Berman} et al., Electron. J. Linear Algebra 36, 80--89 (2020; Zbl 1439.05124) Full Text: Link
Shaked-Monderer, Naomi; Dür, Mirjam; Berman, Abraham Complete positivity over the rationals. (English) Zbl 1474.15085 Pure Appl. Funct. Anal. 3, No. 4, 681-691 (2018). MSC: 15B48 15A23 PDFBibTeX XMLCite \textit{N. Shaked-Monderer} et al., Pure Appl. Funct. Anal. 3, No. 4, 681--691 (2018; Zbl 1474.15085) Full Text: Link
Berman, Abraham; Shaked-Monderer, Naomi Completely positive matrices: real, rational, and integral. (English) Zbl 1401.15036 Acta Math. Vietnam. 43, No. 4, 629-639 (2018). MSC: 15B48 15A23 PDFBibTeX XMLCite \textit{A. Berman} and \textit{N. Shaked-Monderer}, Acta Math. Vietnam. 43, No. 4, 629--639 (2018; Zbl 1401.15036) Full Text: DOI
Berman, Abraham (ed.); Bomze, Immanuel M. (ed.); Dür, Mirjam (ed.); Shaked-Monderer, Naomi (ed.) Copositivity and complete positivity. Abstracts from the workshop held October 29 – Novermber 4, 2017. (English) Zbl 1409.00070 Oberwolfach Rep. 14, No. 4, 3071-3120 (2017). MSC: 00B05 00B25 15B48 15A23 90C22 15-06 PDFBibTeX XMLCite \textit{A. Berman} (ed.) et al., Oberwolfach Rep. 14, No. 4, 3071--3120 (2017; Zbl 1409.00070) Full Text: DOI
Kannan, M. Rajesh; Shaked-Monderer, Naomi; Berman, Abraham On weakly irreducible nonnegative tensors and interval hull of some classes of tensors. (English) Zbl 1342.15022 Linear Multilinear Algebra 64, No. 4, 667-679 (2016). Reviewer: Rabe von Randow (Bonn) MSC: 15A69 15B48 15A18 PDFBibTeX XMLCite \textit{M. R. Kannan} et al., Linear Multilinear Algebra 64, No. 4, 667--679 (2016; Zbl 1342.15022) Full Text: DOI arXiv
Shaked-Monderer, Naomi; Berman, Abraham; Dür, Mirjam; Rajesh Kannan, M. SPN completable graphs. (English) Zbl 1334.15069 Linear Algebra Appl. 498, 58-73 (2016). MSC: 15A83 15B48 PDFBibTeX XMLCite \textit{N. Shaked-Monderer} et al., Linear Algebra Appl. 498, 58--73 (2016; Zbl 1334.15069) Full Text: DOI
Berman, Avi; Dur, Mirjam; Shaked-Monderer, Naomi Open problems in the theory of completely positive and copositive matrices. (English) Zbl 1326.15048 Electron. J. Linear Algebra 29, 46-58 (2015). MSC: 15B48 15A23 PDFBibTeX XMLCite \textit{A. Berman} et al., Electron. J. Linear Algebra 29, 46--58 (2015; Zbl 1326.15048) Full Text: DOI Link
Farber, Miriam; Berman, Abraham A contribution to the connections between Fibonacci numbers and matrix theory. (English) Zbl 1328.15014 Involve 8, No. 3, 491-501 (2015). MSC: 15A15 11B39 15A09 15B99 PDFBibTeX XMLCite \textit{M. Farber} and \textit{A. Berman}, Involve 8, No. 3, 491--501 (2015; Zbl 1328.15014) Full Text: DOI arXiv
Rajesh Kannan, M.; Shaked-Monderer, Naomi; Berman, Abraham Some properties of strong \(\mathcal{H}\)-tensors and general \(\mathcal{H}\)-tensors. (English) Zbl 1316.15029 Linear Algebra Appl. 476, 42-55 (2015). MSC: 15A69 15A18 15A21 PDFBibTeX XMLCite \textit{M. Rajesh Kannan} et al., Linear Algebra Appl. 476, 42--55 (2015; Zbl 1316.15029) Full Text: DOI
Shaked-Monderer, Naomi; Berman, Abraham; Bomze, Immanuel M.; Jarre, Florian; Schachinger, Werner New results on the cp-rank and related properties of co(mpletely) positive matrices. (English) Zbl 1310.15064 Linear Multilinear Algebra 63, No. 2, 384-396 (2015). Reviewer: Carlos F. Lardizabal (Porto Alegre) MSC: 15B48 90C25 15A23 15A03 PDFBibTeX XMLCite \textit{N. Shaked-Monderer} et al., Linear Multilinear Algebra 63, No. 2, 384--396 (2015; Zbl 1310.15064) Full Text: DOI arXiv
Goldberg, Felix; Berman, Abraham Zero forcing for sign patterns. (English) Zbl 1288.05156 Linear Algebra Appl. 447, 56-67 (2014). MSC: 05C50 15B35 05C57 PDFBibTeX XMLCite \textit{F. Goldberg} and \textit{A. Berman}, Linear Algebra Appl. 447, 56--67 (2014; Zbl 1288.05156) Full Text: DOI arXiv
Schlote, Arieh; Wirth, F.; Berman, A.; Shorten, Robert On the higher moments of TCP. (English) Zbl 1278.93238 Linear Algebra Appl. 439, No. 4, 899-913 (2013). MSC: 93E03 15B51 34Dxx 39A50 68M12 PDFBibTeX XMLCite \textit{A. Schlote} et al., Linear Algebra Appl. 439, No. 4, 899--913 (2013; Zbl 1278.93238) Full Text: DOI
Berman, Abraham; King, Christopher; Shorten, Robert A characterisation of common diagonal stability over cones. (English) Zbl 1260.15049 Linear Multilinear Algebra 60, No. 10, 1117-1123 (2012). Reviewer: Václav Burjan (Praha) MSC: 15B48 15A42 PDFBibTeX XMLCite \textit{A. Berman} et al., Linear Multilinear Algebra 60, No. 10, 1117--1123 (2012; Zbl 1260.15049) Full Text: DOI
Berman, Abraham; Shasha, Dafna Completely positive house matrices. (English) Zbl 1237.15027 Linear Algebra Appl. 436, No. 1, 12-26 (2012). Reviewer: K. C. Sivakumar (Chennai) MSC: 15B48 15A23 15A03 PDFBibTeX XMLCite \textit{A. Berman} and \textit{D. Shasha}, Linear Algebra Appl. 436, No. 1, 12--26 (2012; Zbl 1237.15027) Full Text: DOI
Berman, Abraham; Farber, Miriam A lower bound for the second largest Laplacian eigenvalue of weighted graphs. (English) Zbl 1252.05111 Electron. J. Linear Algebra 22, 1179-1184 (2011). MSC: 05C50 05C22 15A42 PDFBibTeX XMLCite \textit{A. Berman} and \textit{M. Farber}, Electron. J. Linear Algebra 22, 1179--1184 (2011; Zbl 1252.05111) Full Text: DOI Link Link
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 Sign patterns that allow eventual positivity. (English) Zbl 1190.15031 Electron. J. Linear Algebra 19, 108-120 (2009). Reviewer: K. C. Sivakumar (Chennai) MSC: 15B35 15B48 05C50 15A18 PDFBibTeX XMLCite \textit{A. Berman} et al., Electron. J. Linear Algebra 19, 108--120 (2009; Zbl 1190.15031) Full Text: DOI EuDML EMIS Link
Berman, Avi; Friedland, Shmuel; Hogben, Leslie; Rothblum, Uriel G.; Shader, Bryan Minimum rank of matrices described by a graph or pattern over the rational, real and complex numbers. (English) Zbl 1179.05070 Electron. J. Comb. 15, No. 1, Research Paper R25, 19 p. (2008). MSC: 05C50 15A03 PDFBibTeX XMLCite \textit{A. Berman} et al., Electron. J. Comb. 15, No. 1, Research Paper R25, 19 p. (2008; Zbl 1179.05070) Full Text: EuDML EMIS
Berman, Avi; Friedland, Shmuel; Hogben, Leslie; Rothblum, Uriel G.; Shader, Bryan An upper bound for the minimum rank of a graph. (English) Zbl 1144.05314 Linear Algebra Appl. 429, No. 7, 1629-1638 (2008). MSC: 05C50 15A03 PDFBibTeX XMLCite \textit{A. Berman} et al., Linear Algebra Appl. 429, No. 7, 1629--1638 (2008; Zbl 1144.05314) Full Text: DOI Link
Berman, Abraham; Xu, Changqing Uniform and minimal \(\{0,1\}\) - \(cp\) matrices. (English) Zbl 1133.15012 Linear Multilinear Algebra 55, No. 5, 439-456 (2007). Reviewer: Erich W. Ellers (Toronto) MSC: 15A23 15B36 15A03 PDFBibTeX XMLCite \textit{A. Berman} and \textit{C. Xu}, Linear Multilinear Algebra 55, No. 5, 439--456 (2007; Zbl 1133.15012) Full Text: DOI
Berman, Abraham Nonnegative matrices – old problems, new applications. (English) Zbl 1114.15015 Commault, Christian (ed.) et al., Positive systems. Proceedings of the second multidisciplinary international symposium on positive systems: Theory and applications (POSTA 06), Grenoble, France, August 30 – September 1, 2006. Berlin: Springer (ISBN 3-540-34771-2/pbk). Lecture Notes in Control and Information Sciences 341, 1-9 (2006). MSC: 15B48 15A23 68P10 68P20 15A18 15A29 PDFBibTeX XMLCite \textit{A. Berman}, Lect. Notes Control Inf. Sci. 341, 1--9 (2006; Zbl 1114.15015)
Berman, Abraham; Rothblum, Uriel G. A note on the computation of the CP-rank. (English) Zbl 1105.65038 Linear Algebra Appl. 419, No. 1, 1-7 (2006). MSC: 65F30 15B48 15A03 PDFBibTeX XMLCite \textit{A. Berman} and \textit{U. G. Rothblum}, Linear Algebra Appl. 419, No. 1, 1--7 (2006; Zbl 1105.65038) Full Text: DOI
Berman, Abraham (ed.); Lerer, Leonid (ed.); Loewy, Raphael (ed.) Special issue devoted to the 13th Haifa conference on matrix theory proceedings, Haifa, Israel, January, 3–5, 2005. (English) Zbl 1099.15500 Linear Algebra Appl. 416, No. 1, 213 p. (2006). MSC: 15-06 00B25 PDFBibTeX XML
Berman, Abraham; Laffey, Thomas; Leizarowitz, Arie; Shorten, Robert On the second eigenvalue of matrices associated with TCP. (English) Zbl 1101.15022 Linear Algebra Appl. 416, No. 1, 175-183 (2006). Reviewer: Huang Wenxue (Scarborough) MSC: 15B51 15A18 90B15 90B18 PDFBibTeX XMLCite \textit{A. Berman} et al., Linear Algebra Appl. 416, No. 1, 175--183 (2006; Zbl 1101.15022) Full Text: DOI
Berman, A.; Förster, K.-H. Algebraic connectivity of trees with a pendant edge of infinite weight. (English) Zbl 1107.05051 Electron. J. Linear Algebra 13, 175-186 (2005). Reviewer: Robert Ernest Lee Aldred (Dunedin) MSC: 05C40 05C50 15A18 PDFBibTeX XMLCite \textit{A. Berman} and \textit{K. H. Förster}, Electron. J. Linear Algebra 13, 175--186 (2005; Zbl 1107.05051) Full Text: DOI EuDML EMIS
Berman, Abraham; Laffey, Thomas J. Similarity classes and principal submatrices. (English) Zbl 1088.15016 Linear Algebra Appl. 401, 341-351 (2005). Reviewer: Bambina Larato (Bari) MSC: 15A21 15A18 15A03 15B57 PDFBibTeX XMLCite \textit{A. Berman} and \textit{T. J. Laffey}, Linear Algebra Appl. 401, 341--351 (2005; Zbl 1088.15016) Full Text: DOI
Berman, Abraham; Xu, Changqing \(\{0,1\}\) completely positive matrices. (English) Zbl 1072.15027 Linear Algebra Appl. 399, 35-51 (2005). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15B48 15A23 15B36 PDFBibTeX XMLCite \textit{A. Berman} and \textit{C. Xu}, Linear Algebra Appl. 399, 35--51 (2005; Zbl 1072.15027) Full Text: DOI
Berman, Abraham (ed.); Laffey, Thomas J. (ed.) Proceedings of the 2004 workshop on nonnegative matrices, Maynooth, Ireland, July 11–14, 2004. (English) Zbl 1060.15500 Electron. J. Linear Algebra 12 (2004/2005). MSC: 15-06 00B25 PDFBibTeX XML Full Text: EuDML EMIS
Berman, Abraham; Xu, Changqing \(5 \times 5\) completely positive matrices. (English) Zbl 1067.15019 Linear Algebra Appl. 393, 55-71 (2004). Reviewer: Ki Hang Kim (Montgomery) MSC: 15B48 15A23 PDFBibTeX XMLCite \textit{A. Berman} and \textit{C. Xu}, Linear Algebra Appl. 393, 55--71 (2004; Zbl 1067.15019) Full Text: DOI
Berman, Abraham; Shorten, Robert; Leith, Douglas Positive matrices associated with synchronised communication networks. (English) Zbl 1062.93024 Linear Algebra Appl. 393, 47-54 (2004). Reviewer: Tadeusz Kaczorek (Warszawa) MSC: 93B60 15B48 90B18 PDFBibTeX XMLCite \textit{A. Berman} et al., Linear Algebra Appl. 393, 47--54 (2004; Zbl 1062.93024) Full Text: DOI
Berman, Abraham; Shaked-Monderer, Naomi Completely positive matrices. (English) Zbl 1030.15022 River Edge, NJ: World Scientific. x, 206 p. (2003). Reviewer: F.Uhlig (Auburn) MSC: 15B48 15A03 15-02 15A23 15B51 PDFBibTeX XMLCite \textit{A. Berman} and \textit{N. Shaked-Monderer}, Completely positive matrices. River Edge, NJ: World Scientific (2003; Zbl 1030.15022)
Barioli, F.; Berman, A. The maximal cp-rank of rank \(k\) completely positive matrices. (English) Zbl 1042.15012 Linear Algebra Appl. 363, 17-33 (2003). Reviewer: T. Nono (Hiroshima) MSC: 15B48 15A03 15A23 PDFBibTeX XMLCite \textit{F. Barioli} and \textit{A. Berman}, Linear Algebra Appl. 363, 17--33 (2003; Zbl 1042.15012) Full Text: DOI
Berman, Avi (ed.); Elsner, Ludwig (ed.); Goldberg, Moshe (ed.); Loewy, Raphael (ed.) Proceedings of the ninth conference of the International Linear Algebra Society (ILAS), Haifa, Israel, June 25–29, 2001. (English) Zbl 1013.00513 Linear Algebra Appl. 361, 1-280 (2003). MSC: 00B25 15-06 PDFBibTeX XMLCite \textit{A. Berman} (ed.) et al., Linear Algebra Appl. 361, 1--280 (2003; Zbl 1013.00513) Full Text: DOI
Berman, Abraham; Zhang, Xiao-Dong Lower bounds for the eigenvalues of Laplacian matrices. (English) Zbl 0958.15014 Linear Algebra Appl. 316, No. 1-3, 13-20 (2000). Reviewer: Václav Burjan (Praha) MSC: 15A42 05C50 15B48 PDFBibTeX XMLCite \textit{A. Berman} and \textit{X.-D. Zhang}, Linear Algebra Appl. 316, No. 1--3, 13--20 (2000; Zbl 0958.15014) Full Text: DOI Backlinks: MO
Berman, Abraham; Zhang, Xiao-Dong A note on degree antiregular graphs. (English) Zbl 0961.05049 Linear Multilinear Algebra 47, No. 4, 307-311 (2000). Reviewer: Bal Kishan Dass (Delhi) MSC: 05C50 15B51 PDFBibTeX XMLCite \textit{A. Berman} and \textit{X.-D. Zhang}, Linear Multilinear Algebra 47, No. 4, 307--311 (2000; Zbl 0961.05049) Full Text: DOI
Berman, Abraham; Shaked-Monderer, Naomi Remarks on completely positive matrices. (English) Zbl 0931.15016 Linear Multilinear Algebra 44, No. 2, 149-163 (1998). Reviewer: J.D.Dixon (Ottawa) MSC: 15B48 PDFBibTeX XMLCite \textit{A. Berman} and \textit{N. Shaked-Monderer}, Linear Multilinear Algebra 44, No. 2, 149--163 (1998; Zbl 0931.15016) Full Text: DOI
Berman, Abraham; Plemmons, Robert J. A note on simultaneously diagonalizable matrices. (English) Zbl 0889.15009 Math. Inequal. Appl. 1, No. 1, 149-152 (1998). Reviewer: P.Narain (Bombay) MSC: 15A21 15A45 PDFBibTeX XMLCite \textit{A. Berman} and \textit{R. J. Plemmons}, Math. Inequal. Appl. 1, No. 1, 149--152 (1998; Zbl 0889.15009) Full Text: DOI
Berman, Abraham; Krupnik, Mark Spectrum preserving lower triangular completions – the nonnegative nilpotent case. (English) Zbl 0889.15008 Electron. J. Linear Algebra 2, 9-16 (1997). Reviewer: Y.Kuo (Knoxville) MSC: 15A21 15B48 15A03 PDFBibTeX XMLCite \textit{A. Berman} and \textit{M. Krupnik}, Electron. J. Linear Algebra 2, 9--16 (1997; Zbl 0889.15008) Full Text: DOI EuDML EMIS Link
Berman, Abraham; Shasha, Dafna Set inertia-preserving matrices. (English) Zbl 0891.15005 Linear Multilinear Algebra 43, No. 1-3, 169-179 (1997). Reviewer: A.L.Andrew (Bundoora) MSC: 15A18 93D05 15B57 PDFBibTeX XMLCite \textit{A. Berman} and \textit{D. Shasha}, Linear Multilinear Algebra 43, No. 1--3, 169--179 (1997; Zbl 0891.15005) Full Text: DOI
Berman, Abraham; Plemmons, Robert J. Nonnegative matrices in the mathematical sciences. (English) Zbl 0815.15016 Classics in Applied Mathematics. 9. Philadelphia, PA: SIAM,. xx, 340 p. (1994). Reviewer: Eugene Seneta (Sydney) MSC: 15B48 15-02 65F10 15A30 15B51 60J10 90C33 93D25 15A18 PDFBibTeX XMLCite \textit{A. Berman} and \textit{R. J. Plemmons}, Nonnegative matrices in the mathematical sciences. Philadelphia, PA: SIAM (1994; Zbl 0815.15016)
Berman, Abraham; Shasha, Dafna Strongly inertia-preserving matrices. (English) Zbl 0813.15015 SIAM J. Matrix Anal. Appl. 15, No. 3, 729-732 (1994). Reviewer: F.Uhlig (Auburn) MSC: 15A42 93D05 PDFBibTeX XMLCite \textit{A. Berman} and \textit{D. Shasha}, SIAM J. Matrix Anal. Appl. 15, No. 3, 729--732 (1994; Zbl 0813.15015) Full Text: DOI
Berman, Abraham Completely positive graphs. (English) Zbl 0792.05095 Brualdi, Richard A. (ed.) et al., Combinatorial and graph-theoretical problems in linear algebra. Proceedings of a workshop that was an integral part of the 1991-92 IMA program on “Applied Linear Algebra” held at the University of Minnesota, USA, November 11-15, 1991. New York: Springer-Verlag. IMA Vol. Math. Appl. 50, 229-233 (1993). Reviewer: R.L.Hemminger (Nashville) MSC: 05C50 15B48 PDFBibTeX XMLCite \textit{A. Berman}, IMA Vol. Math. Appl. 50, 229--233 (1993; Zbl 0792.05095)
Berman, Abraham (ed.); Goldberg, Moshe (ed.); Hershkowitz, Daniel (ed.) Proceedings of the sixth Haifa matrix theory conference, held at the Technion-Israel Institute of Technology, Haifa, Israel, 11-14 June, 1990. (English) Zbl 0744.00031 Linear Algebra and Its Applications. 167. Amsterdam etc.: North-Holland, 273 p. (1992). MSC: 00B25 15-06 PDFBibTeX XMLCite \textit{A. Berman} (ed.) et al., Proceedings of the sixth Haifa matrix theory conference, held at the Technion-Israel Institute of Technology, Haifa, Israel, 11-14 June, 1990. Amsterdam etc.: North-Holland (1992; Zbl 0744.00031)
Berman, Abraham; Goldberg, Moshe; Hershkowitz, Daniel Haifa 1990 conference on matrix theory. (English) Zbl 0751.15001 Linear Algebra Appl. 167, 205-272 (1992). MSC: 15-06 00B25 PDFBibTeX XMLCite \textit{A. Berman} et al., Linear Algebra Appl. 167, 205--272 (1992; Zbl 0751.15001) Full Text: DOI
Shaked-Monderer, Naomi; Berman, Abraham More on extremal positive semidefinite doubly stochastic matrices. (English) Zbl 0758.15016 Linear Algebra Appl. 167, 17-34 (1992). Reviewer: S.Sridhar (Madras) MSC: 15B51 15A60 15B48 05C50 46A55 PDFBibTeX XMLCite \textit{N. Shaked-Monderer} and \textit{A. Berman}, Linear Algebra Appl. 167, 17--34 (1992; Zbl 0758.15016) Full Text: DOI
Berman, Abraham; Shasha, Dafna Inertia-preserving matrices. (English) Zbl 0733.15004 SIAM J. Matrix Anal. Appl. 12, No. 2, 209-219 (1991). MSC: 15A18 15A42 93D05 PDFBibTeX XMLCite \textit{A. Berman} and \textit{D. Shasha}, SIAM J. Matrix Anal. Appl. 12, No. 2, 209--219 (1991; Zbl 0733.15004) Full Text: DOI
Berman, Abraham; Neumann, Michael; Stern, Ronald Jay Nonnegative matrices in dynamic systems. (English) Zbl 0723.93013 Pure and Applied Mathematics; A Wiley Interscience Publication. New York: John Wiley & Sons, Inc. xxii, 167 p. $ 36.95 (1989). Reviewer: K.B.Datta MSC: 93B25 15B48 34A30 93-02 93C35 PDFBibTeX XMLCite \textit{A. Berman} et al., Nonnegative matrices in dynamic systems. New York: John Wiley \&| Sons, Inc. (1989; Zbl 0723.93013)
Berman, Abraham; Hershkowitz, Daniel; Lerer, Leonid Report: Haifa 1988 conference on matrix theory. (English) Zbl 0673.15001 Linear Algebra Appl. 120, 237-269 (1989). MSC: 15-06 00Bxx PDFBibTeX XMLCite \textit{A. Berman} et al., Linear Algebra Appl. 120, 237--269 (1989; Zbl 0673.15001) Full Text: DOI
Shasha, Dafna; Berman, Abraham More on the uniqueness of the Lyapunov scaling factors. (English) Zbl 0661.15015 Linear Algebra Appl. 107, 253-273 (1988). Reviewer: E.Kreyszig MSC: 15A42 93D05 34D20 PDFBibTeX XMLCite \textit{D. Shasha} and \textit{A. Berman}, Linear Algebra Appl. 107, 253--273 (1988; Zbl 0661.15015) Full Text: DOI
Berman, Abraham; Grone, Robert Bipartite completely positive matrices. (English) Zbl 0658.15019 Math. Proc. Camb. Philos. Soc. 103, No. 2, 269-276 (1988). Reviewer: F.Ribière-Michaud MSC: 15B48 65F05 15A23 PDFBibTeX XMLCite \textit{A. Berman} and \textit{R. Grone}, Math. Proc. Camb. Philos. Soc. 103, No. 2, 269--276 (1988; Zbl 0658.15019) Full Text: DOI
Berman, Abraham Complete positivity. (English) Zbl 0651.15019 Linear Algebra Appl. 107, 57-63 (1988). Reviewer: A.A.Jafarian MSC: 15B48 15A23 15B51 PDFBibTeX XMLCite \textit{A. Berman}, Linear Algebra Appl. 107, 57--63 (1988; Zbl 0651.15019) Full Text: DOI
Berman, A.; Jain, Surender Kumar Nonnegative generalized inverses of powers of non-negative matrices. (English) Zbl 0651.15006 Linear Algebra Appl. 107, 169-179 (1988). Reviewer: S.L.Campbell MSC: 15A09 15B48 PDFBibTeX XMLCite \textit{A. Berman} and \textit{S. K. Jain}, Linear Algebra Appl. 107, 169--179 (1988; Zbl 0651.15006) Full Text: DOI
Berman, Abraham; Stern, Ronald J. Linear feedback, irreducibility, and M-matrices. (English) Zbl 0663.93019 Linear Algebra Appl. 97, 141-152 (1987). Reviewer: N.Osetinski MSC: 93B25 15B48 93C05 05C50 90C05 93B05 PDFBibTeX XMLCite \textit{A. Berman} and \textit{R. J. Stern}, Linear Algebra Appl. 97, 141--152 (1987; Zbl 0663.93019) Full Text: DOI
Shasha, Dafna; Berman, Abraham On the uniqueness of the Lyapunov scaling factors. (English) Zbl 0627.15007 Linear Algebra Appl. 91, 53-63 (1987). Reviewer: L.Bakule MSC: 15A45 15A12 15B57 15A03 PDFBibTeX XMLCite \textit{D. Shasha} and \textit{A. Berman}, Linear Algebra Appl. 91, 53--63 (1987; Zbl 0627.15007) Full Text: DOI
Berman, Abraham; Hershkowitz, Daniel Combinatorial results on completely positive matrices. (English) Zbl 0623.05040 Linear Algebra Appl. 95, 111-125 (1987). MSC: 05C50 15B48 PDFBibTeX XMLCite \textit{A. Berman} and \textit{D. Hershkowitz}, Linear Algebra Appl. 95, 111--125 (1987; Zbl 0623.05040) Full Text: DOI
Berman, Abraham; Censor, Yair; Schneider, Hans Haifa 1985 conference on matrix theory. (English) Zbl 0607.15001 Linear Algebra Appl. 80, 173-260 (1986). MSC: 15-06 05-06 93-06 20-06 PDFBibTeX XMLCite \textit{A. Berman} et al., Linear Algebra Appl. 80, 173--260 (1986; Zbl 0607.15001) Full Text: DOI
Berman, Abraham; Hershkowitz, Daniel; Johnson, Charles R. Linear transformations that preserve certain positivity classes of matrices. (English) Zbl 0583.15013 Linear Algebra Appl. 68, 9-29 (1985). Reviewer: T.B.Andersen MSC: 15B48 15A04 PDFBibTeX XMLCite \textit{A. Berman} et al., Linear Algebra Appl. 68, 9--29 (1985; Zbl 0583.15013) Full Text: DOI
Berman, Abraham; Hershkowitz, Daniel Graph theoretical methods in studying stability. (English) Zbl 0583.15010 Linear algebra and its role in systems theory, Proc. AMS-IMS-SIAM Conf., Brunswick/Maine 1984, Contemp. Math. 47, 1-6 (1985). Reviewer: F.Juhász MSC: 15A42 34D20 05C50 93D05 PDFBibTeX XML
Berman, Abraham Convexity, graph theory and non-negative matrices. (English) Zbl 0564.15008 Convexity and graph theory, Proc. Conf., Israel 1981, Ann. Discrete Math. 20, 55-59 (1984). Reviewer: G.Sierksma MSC: 15B48 05C50 52Bxx PDFBibTeX XML
Berman, Abraham; Hershkowitz, Daniel Characterization of acyclic D-stable matrices. (English) Zbl 0543.15015 Linear Algebra Appl. 58, 17-31 (1984). Reviewer: V.Mehrmann MSC: 15B48 15A42 05C50 PDFBibTeX XMLCite \textit{A. Berman} and \textit{D. Hershkowitz}, Linear Algebra Appl. 58, 17--31 (1984; Zbl 0543.15015) Full Text: DOI
Hershkowitz, Daniel; Berman, Abraham Notes on \(\omega\)- and \(\tau\)-matrices. (English) Zbl 0543.15014 Linear Algebra Appl. 58, 169-183 (1984). Reviewer: V.Mehrmann MSC: 15A42 15B48 PDFBibTeX XMLCite \textit{D. Hershkowitz} and \textit{A. Berman}, Linear Algebra Appl. 58, 169--183 (1984; Zbl 0543.15014) Full Text: DOI
Berman, Abraham; Hershkowitz, Daniel Matrix diagonal stability and its implications. (English) Zbl 0547.15009 SIAM J. Algebraic Discrete Methods 4, 377-382 (1983). Reviewer: J.Brawley MSC: 15B48 15A18 15A42 PDFBibTeX XMLCite \textit{A. Berman} and \textit{D. Hershkowitz}, SIAM J. Algebraic Discrete Methods 4, 377--382 (1983; Zbl 0547.15009) Full Text: DOI
Hershkowitz, Daniel; Berman, Abraham Localization of the spectra of \(P\)- and \(P_0\)-matrices. (English) Zbl 0516.15009 Linear Algebra Appl. 52-53, 383-397 (1983). MSC: 15A42 15B48 PDFBibTeX XMLCite \textit{D. Hershkowitz} and \textit{A. Berman}, Linear Algebra Appl. 52--53, 383--397 (1983; Zbl 0516.15009) Full Text: DOI
Hershkowitz, Daniel; Berman, Abraham Necessary conditions and a sufficient condition for the Fischer-Hadamard inequalities. (English) Zbl 0507.15016 Linear Multilinear Algebra 13, 67-72 (1983). MSC: 15A45 15B48 PDFBibTeX XMLCite \textit{D. Hershkowitz} and \textit{A. Berman}, Linear Multilinear Algebra 13, 67--72 (1983; Zbl 0507.15016) Full Text: DOI
Berman, Abraham; Saunders, B. David Matrices with zero line sums and maximal rank. (English) Zbl 0478.15013 Linear Algebra Appl. 40, 229-235 (1981). MSC: 15B48 15B57 05C20 PDFBibTeX XMLCite \textit{A. Berman} and \textit{B. D. Saunders}, Linear Algebra Appl. 40, 229--235 (1981; Zbl 0478.15013) Full Text: DOI
Berman, Abraham Matrices and the linear complementarity problem. (English) Zbl 0465.90086 Linear Algebra Appl. 40, 249-256 (1981). MSC: 90C33 15B48 90-02 PDFBibTeX XMLCite \textit{A. Berman}, Linear Algebra Appl. 40, 249--256 (1981; Zbl 0465.90086) Full Text: DOI
Berman, Abraham; Plemmons, Robert J. Nonnegative matrices in the mathematical sciences. (English) Zbl 0484.15016 Computer Science and Applied Mathematics. New York, San Francisco, London: Academic Press. XVIII, 316 p. $ 40.00 (1979). MSC: 15B48 15-02 15A30 65F10 15B51 60J10 90C33 93D25 PDFBibTeX XML
Berman, A.; Varga, R. S.; Ward, R. C. \(\mathcal A\mathcal L\wp\mathcal S\): Matrices with nonpositive off-diagonal entries. (English) Zbl 0401.15018 Linear Algebra Appl. 21, 233-244 (1978). MSC: 15B57 PDFBibTeX XMLCite \textit{A. Berman} et al., Linear Algebra Appl. 21, 233--244 (1978; Zbl 0401.15018) Full Text: DOI
Berman, Abraham; Ward, Robert C. Classes of stable and semipositive matrices. (English) Zbl 0386.15015 Linear Algebra Appl. 21, 163-174 (1978). MSC: 15B48 PDFBibTeX XMLCite \textit{A. Berman} and \textit{R. C. Ward}, Linear Algebra Appl. 21, 163--174 (1978; Zbl 0386.15015) Full Text: DOI
Barker, G. P.; Berman, A.; Plemmons, R. J. Positive diagonal solutions to the Lyapunov equations. (English) Zbl 0385.15006 Linear Multilinear Algebra 5, 249-256 (1978). MSC: 15A18 15B48 34D99 65F15 PDFBibTeX XMLCite \textit{G. P. Barker} et al., Linear Multilinear Algebra 5, 249--256 (1978; Zbl 0385.15006) Full Text: DOI
Berman, Abraham; Kotzig, Anton The length of a (0,1) matrix. (English) Zbl 0384.05047 Linear Algebra Appl. 20, 197-203 (1978). MSC: 05C50 15A21 05B20 PDFBibTeX XMLCite \textit{A. Berman} and \textit{A. Kotzig}, Linear Algebra Appl. 20, 197--203 (1978; Zbl 0384.05047) Full Text: DOI
Berman, A. The spectral radius of a non-negative matrix. (English) Zbl 0375.15004 Can. Math. Bull. 21, 113-114 (1978). MSC: 15A15 15B48 PDFBibTeX XMLCite \textit{A. Berman}, Can. Math. Bull. 21, 113--114 (1978; Zbl 0375.15004) Full Text: DOI
Berman, Abraham; Ward, Robert C. Stability and semipositivity of real matrices. (English) Zbl 0352.15010 Bull. Am. Math. Soc. 83, 262-263 (1977). MSC: 15B48 15A15 15A18 65F15 93D05 PDFBibTeX XMLCite \textit{A. Berman} and \textit{R. C. Ward}, Bull. Am. Math. Soc. 83, 262--263 (1977; Zbl 0352.15010) Full Text: DOI
Berman, Abraham; Neumann, Michael Consistency and splittings. (English) Zbl 0368.65023 SIAM J. Numer. Anal. 13, 877-888 (1976). MSC: 65F20 15A09 65F10 PDFBibTeX XMLCite \textit{A. Berman} and \textit{M. Neumann}, SIAM J. Numer. Anal. 13, 877--888 (1976; Zbl 0368.65023) Full Text: DOI
Berman, A.; Plemmons, R. J. Eight types of matrix monotonicity. (English) Zbl 0341.15013 Linear Algebra Appl. 13, 115-123 (1976). MSC: 15B48 PDFBibTeX XMLCite \textit{A. Berman} and \textit{R. J. Plemmons}, Linear Algebra Appl. 13, 115--123 (1976; Zbl 0341.15013) Full Text: DOI
Berman, Abraham; Plemmons, Robert J. Inverses of nonnegative matrices. (English) Zbl 0328.15003 Linear Multilinear Algebra 2, 161-172 (1974). MSC: 15A09 15B48 15A30 PDFBibTeX XML Full Text: DOI
Berman, Abraham Nonnegative matrices which are equal to their generalized inverse. (English) Zbl 0312.15009 Linear Algebra Appl. 9, 261-265 (1974). MSC: 15B48 15A09 PDFBibTeX XMLCite \textit{A. Berman}, Linear Algebra Appl. 9, 261--265 (1974; Zbl 0312.15009) Full Text: DOI
Berman, Abraham; Plemmons, Robert J. Matrix group monotonicity. (English) Zbl 0312.15002 Proc. Am. Math. Soc. 46, 355-359 (1974). MSC: 15A09 15B48 PDFBibTeX XMLCite \textit{A. Berman} and \textit{R. J. Plemmons}, Proc. Am. Math. Soc. 46, 355--359 (1974; Zbl 0312.15002) Full Text: DOI
Berman, Abraham Linear inequalities over complex cones. (English) Zbl 0257.15014 Can. Math. Bull. 16, 19-21 (1973). MSC: 15A39 90C30 15B57 PDFBibTeX XMLCite \textit{A. Berman}, Can. Math. Bull. 16, 19--21 (1973; Zbl 0257.15014) Full Text: DOI
Berman, A. Cones, matrices and mathematical programming. (English) Zbl 0256.90002 Lecture Notes in Economics and Mathematical Systems. 79. Berlin-Heidelberg-New York: Springer Verlag. V,96 p. DM 16.00; $ 5.10 (1973). MSC: 90-01 15A39 15-02 90C30 52-02 90C25 PDFBibTeX XML
Berman, Abraham; Ben-Israel, Adi Linear equations over cones with interior: a solvability theorem with applications to matrix theory. (English) Zbl 0254.15010 Linear Algebra Appl. 7, 139-149 (1973). MSC: 15A39 15A42 PDFBibTeX XMLCite \textit{A. Berman} and \textit{A. Ben-Israel}, Linear Algebra Appl. 7, 139--149 (1973; Zbl 0254.15010) Full Text: DOI
Berman, Abraham; Plemmons, Robert J. Monotonicity and the generalized inverse. (English) Zbl 0255.15005 SIAM J. Appl. Math. 22, 155-161 (1972). MSC: 15A09 15B48 PDFBibTeX XMLCite \textit{A. Berman} and \textit{R. J. Plemmons}, SIAM J. Appl. Math. 22, 155--161 (1972; Zbl 0255.15005) Full Text: DOI
Berman, Abraham Incidence matrices of Boolean functions and zero-one programming. (English) Zbl 0253.90037 Appl. Number Theory numer. Analysis, Proc. Sympos. Univ. Montreal 1971, 465-477 (1972). MSC: 90C10 15B33 PDFBibTeX XML
Berman, Abraham; Gaiha, Prabha A generalization of irreducible monotonicity. (English) Zbl 0247.15011 Linear Algebra Appl. 5, 29-38 (1972). MSC: 15A30 PDFBibTeX XMLCite \textit{A. Berman} and \textit{P. Gaiha}, Linear Algebra Appl. 5, 29--38 (1972; Zbl 0247.15011) Full Text: DOI
Berman, Abraham; Ben-Israel, Adi Linear inequalities, mathematical programming and matrix theory. (English) Zbl 0249.90037 Math. Program. 1, 291-300 (1971). MSC: 90C05 15A39 15A45 PDFBibTeX XMLCite \textit{A. Berman} and \textit{A. Ben-Israel}, Math. Program. 1, 291--300 (1971; Zbl 0249.90037) Full Text: DOI
Berman, Abraham; Ben-Israel, Adi More on linear inequalities with applications to matrix theory. (English) Zbl 0221.15014 J. Math. Anal. Appl. 33, 482-496 (1971). MSC: 15A39 15B48 15B57 PDFBibTeX XMLCite \textit{A. Berman} and \textit{A. Ben-Israel}, J. Math. Anal. Appl. 33, 482--496 (1971; Zbl 0221.15014) Full Text: DOI
Berman, A.; Ben-Israel, A. A note on pencils of Hermitian or symmetric matrices. (English) Zbl 0218.15008 SIAM J. Appl. Math. 21, No. 1-2, 51-54 (1971). MSC: 15A22 15B57 PDFBibTeX XMLCite \textit{A. Berman} and \textit{A. Ben-Israel}, SIAM J. Appl. Math. 21, 51--54 (1971; Zbl 0218.15008) Full Text: DOI
Berman, A.; Ben-Israel, A. A note on pencils of Hermitian or symmetric matrices. (English) Zbl 0205.05001 SIAM J. Appl. Math. 21, No. 1 (1971). MSC: 15B57 15A22 PDFBibTeX XML