Gao, Yubin; Hall, Frank J.; Li, Zhongshan; Bailey, Victor; Kim, Paul \(4 \times 4\) irreducible sign pattern matrices that require four distinct eigenvalues. (English) Zbl 1528.15026 Linear Algebra Appl. 680, 1-27 (2024). Reviewer: Ali Shukur (Kufa) MSC: 15B35 15A18 05C50 PDFBibTeX XMLCite \textit{Y. Gao} et al., Linear Algebra Appl. 680, 1--27 (2024; Zbl 1528.15026) Full Text: DOI
Golshan, Setareh; Armandnejad, Ali; Hall, Frank J. Two \(n\times n\) G-classes of matrices having finite intersection. (English) Zbl 1504.15117 Spec. Matrices 11, Article ID 2022-0178, 4 p. (2023). Reviewer: Francisco Marcellán (Leganes) MSC: 15B99 15A30 PDFBibTeX XMLCite \textit{S. Golshan} et al., Spec. Matrices 11, Article ID 2022--0178, 4 p. (2023; Zbl 1504.15117) Full Text: DOI
Marsli, Rachid; Hall, Frank J. Some properties of ergodicity coefficients with applications in spectral graph theory. (English) Zbl 1493.15116 Linear Multilinear Algebra 70, No. 10, 1886-1906 (2022). MSC: 15B51 15A18 05C50 37A30 PDFBibTeX XMLCite \textit{R. Marsli} and \textit{F. J. Hall}, Linear Multilinear Algebra 70, No. 10, 1886--1906 (2022; Zbl 1493.15116) Full Text: DOI arXiv
Motlaghian, Sara M.; Armandnejad, Ali; Hall, Frank J. A note on some classes of G-matrices. (English) Zbl 1490.15041 Oper. Matrices 16, No. 1, 251-263 (2022). MSC: 15B10 15A20 15A30 PDFBibTeX XMLCite \textit{S. M. Motlaghian} et al., Oper. Matrices 16, No. 1, 251--263 (2022; Zbl 1490.15041) Full Text: DOI
Marsli, Rachid; Hall, Frank J. Correction to: “Equivalence classes of e-matrices and associated eigenvalue localization regions”. (English) Zbl 1483.15006 Linear Multilinear Algebra 70, No. 6, 1191 (2022). MSC: 15A18 15B51 PDFBibTeX XMLCite \textit{R. Marsli} and \textit{F. J. Hall}, Linear Multilinear Algebra 70, No. 6, 1191 (2022; Zbl 1483.15006) Full Text: DOI
Motlaghian, Sara M.; Armandnejad, Ali; Hall, Frank J. Topological properties of \(J\)-orthogonal matrices. II. (English) Zbl 1459.15030 Linear Multilinear Algebra 69, No. 3, 438-447 (2021). MSC: 15B10 15A04 15A21 15A86 PDFBibTeX XMLCite \textit{S. M. Motlaghian} et al., Linear Multilinear Algebra 69, No. 3, 438--447 (2021; Zbl 1459.15030) Full Text: DOI
Arav, Marina; Hall, Frank J.; Li, Zhongshan; van der Holst, Hein Two-connected signed graphs with maximum nullity at most two. (English) Zbl 1461.05102 Linear Algebra Appl. 611, 82-93 (2021). Reviewer: V. Lokesha (Bangalore) MSC: 05C22 05C50 15A03 PDFBibTeX XMLCite \textit{M. Arav} et al., Linear Algebra Appl. 611, 82--93 (2021; Zbl 1461.05102) Full Text: DOI arXiv
Marsli, Rachid; Hall, Frank J. Equivalence classes of e-matrices and associated eigenvalue localization regions. (English) Zbl 1456.15009 Linear Multilinear Algebra 68, No. 5, 915-930 (2020); correction ibid. 70, No. 6, 1191 (2022). Reviewer: George Stoica (Saint John) MSC: 15A18 15B51 PDFBibTeX XMLCite \textit{R. Marsli} and \textit{F. J. Hall}, Linear Multilinear Algebra 68, No. 5, 915--930 (2020; Zbl 1456.15009) Full Text: DOI
Marsli, Rachid; Hall, Frank J. Inclusion regions and bounds for the eigenvalues of matrices with a known eigenpair. (English) Zbl 1456.15017 Spec. Matrices 8, 204-220 (2020). Reviewer: Antoine Mhanna (Kfardebian) MSC: 15A42 15A18 15A04 PDFBibTeX XMLCite \textit{R. Marsli} and \textit{F. J. Hall}, Spec. Matrices 8, 204--220 (2020; Zbl 1456.15017) Full Text: DOI arXiv
Marsli, Rachid; Hall, Frank J. On bounding the eigenvalues of matrices with constant row-sums. (English) Zbl 1412.15020 Linear Multilinear Algebra 67, No. 4, 672-684 (2019). Reviewer: John D. Dixon (Ottawa) MSC: 15A42 15A18 15B51 PDFBibTeX XMLCite \textit{R. Marsli} and \textit{F. J. Hall}, Linear Multilinear Algebra 67, No. 4, 672--684 (2019; Zbl 1412.15020) Full Text: DOI
Motlaghian, Sara M.; Armandnejad, Ali; Hall, Frank J. Strong linear preservers of dense matrices. (English) Zbl 1407.15003 Bull. Iran. Math. Soc. 44, No. 4, 969-976 (2018). MSC: 15A04 15A21 15A86 PDFBibTeX XMLCite \textit{S. M. Motlaghian} et al., Bull. Iran. Math. Soc. 44, No. 4, 969--976 (2018; Zbl 1407.15003) Full Text: DOI
Hall, Frank J.; Marsli, Rachid On the location of eigenvalues of real constant row-sum matrices. (English) Zbl 1406.15013 Bull. Korean Math. Soc. 55, No. 6, 1691-1701 (2018). Reviewer: Antoine Mhanna (Kfardebian) MSC: 15A18 15A42 15B51 PDFBibTeX XMLCite \textit{F. J. Hall} and \textit{R. Marsli}, Bull. Korean Math. Soc. 55, No. 6, 1691--1701 (2018; Zbl 1406.15013) Full Text: Link
Motlaghian, Sara M.; Armandnejad, Ali; Hall, Frank J. Topological properties of \(J\)-orthogonal matrices. (English) Zbl 1430.15023 Linear Multilinear Algebra 66, No. 12, 2524-2533 (2018). Reviewer: Julio Benítez (Valencia) MSC: 15B10 15A30 PDFBibTeX XMLCite \textit{S. M. Motlaghian} et al., Linear Multilinear Algebra 66, No. 12, 2524--2533 (2018; Zbl 1430.15023) Full Text: DOI
Hall, Frank J.; Stroev, Mikhail On discriminant matrices. (English) Zbl 1396.15008 Linear Algebra Appl. 554, 316-328 (2018). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A15 15A21 PDFBibTeX XMLCite \textit{F. J. Hall} and \textit{M. Stroev}, Linear Algebra Appl. 554, 316--328 (2018; Zbl 1396.15008) Full Text: DOI
Marsli, Rachid; Hall, Frank J. On the location of eigenvalues of real matrices. (English) Zbl 1375.15016 Electron. J. Linear Algebra 32, 357-364 (2017). MSC: 15A18 15A42 PDFBibTeX XMLCite \textit{R. Marsli} and \textit{F. J. Hall}, Electron. J. Linear Algebra 32, 357--364 (2017; Zbl 1375.15016) Full Text: DOI
Hall, Frank J.; Li, Zhongshan; Parnass, Caroline T.; Rozložník, Miroslav Sign patterns of \(J\)-orthogonal matrices. (English) Zbl 1392.15045 Spec. Matrices 5, 225-241 (2017). MSC: 15B35 15B10 PDFBibTeX XMLCite \textit{F. J. Hall} et al., Spec. Matrices 5, 225--241 (2017; Zbl 1392.15045) Full Text: DOI
Motlaghian, Sara M.; Armandnejad, Ali; Hall, Frank J. Linear preservers of row-dense matrices. (English) Zbl 1413.15051 Czech. Math. J. 66, No. 3, 847-858 (2016). Reviewer: Edgar Pereira (Natal) MSC: 15A86 PDFBibTeX XMLCite \textit{S. M. Motlaghian} et al., Czech. Math. J. 66, No. 3, 847--858 (2016; Zbl 1413.15051) Full Text: DOI Link
Hall, Frank J.; Rozložník, Miroslav G-matrices, \(J\)-orthogonal matrices, and their sign patterns. (English) Zbl 1413.15023 Czech. Math. J. 66, No. 3, 653-670 (2016). MSC: 15A23 15B10 15B35 PDFBibTeX XMLCite \textit{F. J. Hall} and \textit{M. Rozložník}, Czech. Math. J. 66, No. 3, 653--670 (2016; Zbl 1413.15023) Full Text: DOI Link
Motlaghian, Sara M.; Armandnejad, Ali; Hall, Frank J. Linear preservers of Hadamard majorization. (English) Zbl 1347.15005 Electron. J. Linear Algebra 31, 593-609 (2016). MSC: 15A04 15A21 PDFBibTeX XMLCite \textit{S. M. Motlaghian} et al., Electron. J. Linear Algebra 31, 593--609 (2016; Zbl 1347.15005) Full Text: DOI
Fiedler, Miroslav; Hall, Frank J. A note on strongly dense matrices. (English) Zbl 1331.15023 Eur. J. Math. 1, No. 4, 721-730 (2015). MSC: 15B34 15B48 15A23 PDFBibTeX XMLCite \textit{M. Fiedler} and \textit{F. J. Hall}, Eur. J. Math. 1, No. 4, 721--730 (2015; Zbl 1331.15023) Full Text: DOI
Arav, Marina; Hall, Frank; Li, Zhongshan; van der Holst, Hein; Sinkovic, John Henry; Zhang, Lihua Minimum ranks of sign patterns via sign vectors and duality. (English) Zbl 1326.15045 Electron. J. Linear Algebra 30, 360-371 (2015). MSC: 15B35 15A03 PDFBibTeX XMLCite \textit{M. Arav} et al., Electron. J. Linear Algebra 30, 360--371 (2015; Zbl 1326.15045) Full Text: DOI arXiv
Fiedler, Miroslav; Gao, Wei; Hall, Frank J.; Jing, Guangming; Li, Zhongshan; Stroev, Mikhail Ranks of dense alternating sign matrices and their sign patterns. (English) Zbl 1310.15057 Linear Algebra Appl. 471, 109-121 (2015). MSC: 15B35 15A03 15B36 PDFBibTeX XMLCite \textit{M. Fiedler} et al., Linear Algebra Appl. 471, 109--121 (2015; Zbl 1310.15057) Full Text: DOI
Fiedler, Miroslav; Hall, Frank J.; Stroev, Mikhail Permanents, determinants, and generalized complementary basic matrices. (English) Zbl 1314.15007 Oper. Matrices 8, No. 4, 1041-1051 (2014). Reviewer: John D. Dixon (Ottawa) MSC: 15A15 15A23 PDFBibTeX XMLCite \textit{M. Fiedler} et al., Oper. Matrices 8, No. 4, 1041--1051 (2014; Zbl 1314.15007) Full Text: DOI Link
Fiedler, Miroslav; Hall, Frank J. A new characterization of generalized complementary basic matrices. (English) Zbl 1310.15003 Spec. Matrices 2, 125-130 (2014). MSC: 15A03 15A99 PDFBibTeX XMLCite \textit{M. Fiedler} and \textit{F. J. Hall}, Spec. Matrices 2, 125--130 (2014; Zbl 1310.15003) Full Text: DOI
Fiedler, Miroslav; Hall, Frank J. MAX algebraic complementary basic matrices. (English) Zbl 1291.15068 Linear Algebra Appl. 457, 287-292 (2014). MSC: 15A80 15A15 15A23 PDFBibTeX XMLCite \textit{M. Fiedler} and \textit{F. J. Hall}, Linear Algebra Appl. 457, 287--292 (2014; Zbl 1291.15068) Full Text: DOI
Arav, Marina; Hall, Frank J.; Li, Zhongshan; van der Holst, Hein; Zhang, Lihua; Zhou, Wenyan The minimum rank of a sign pattern matrix with a 1-separation. (English) Zbl 1286.15038 Linear Algebra Appl. 448, 205-216 (2014). MSC: 15B35 15A03 PDFBibTeX XMLCite \textit{M. Arav} et al., Linear Algebra Appl. 448, 205--216 (2014; Zbl 1286.15038) Full Text: DOI arXiv
Fiedler, Miroslav; Hall, Frank J.; Stroev, Mikhail Dense alternating sign matrices and extensions. (English) Zbl 1286.15041 Linear Algebra Appl. 444, 219-226 (2014). MSC: 15B36 05B20 PDFBibTeX XMLCite \textit{M. Fiedler} et al., Linear Algebra Appl. 444, 219--226 (2014; Zbl 1286.15041) Full Text: DOI
Marsli, Rachid; Hall, Frank J. Some refinements of Geršgorin discs. (English) Zbl 1391.15067 Int. J. Algebra 7, No. 9-12, 573-580 (2013). MSC: 15A42 15A18 PDFBibTeX XMLCite \textit{R. Marsli} and \textit{F. J. Hall}, Int. J. Algebra 7, No. 9--12, 573--580 (2013; Zbl 1391.15067) Full Text: DOI
Fiedler, Miroslav; Hall, Frank J. Factorizable matrices. (English) Zbl 1291.15033 Spec. Matrices 1, 3-9 (2013). MSC: 15A23 15B57 15B48 PDFBibTeX XMLCite \textit{M. Fiedler} and \textit{F. J. Hall}, Spec. Matrices 1, 3--9 (2013; Zbl 1291.15033) Full Text: DOI
Fiedler, Miroslav; Hall, Frank J. Combinatorial aspects of generalized complementary basic matrices. (English) Zbl 1288.15038 Cent. Eur. J. Math. 11, No. 12, 2186-2196 (2013). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15B35 15B48 15A23 PDFBibTeX XMLCite \textit{M. Fiedler} and \textit{F. J. Hall}, Cent. Eur. J. Math. 11, No. 12, 2186--2196 (2013; Zbl 1288.15038) Full Text: DOI
Arav, Marina; Hall, Frank J.; Li, Zhongshan; van der Holst, Hein The inertia set of a signed graph. (English) Zbl 1282.05058 Linear Algebra Appl. 439, No. 5, 1506-1529 (2013). MSC: 05C22 15A18 PDFBibTeX XMLCite \textit{M. Arav} et al., Linear Algebra Appl. 439, No. 5, 1506--1529 (2013; Zbl 1282.05058) Full Text: DOI arXiv
Marsli, Rachid; Hall, Frank J. Further results on Geršgorin discs. (English) Zbl 1305.15028 Linear Algebra Appl. 439, No. 1, 189-195 (2013). MSC: 15A18 PDFBibTeX XMLCite \textit{R. Marsli} and \textit{F. J. Hall}, Linear Algebra Appl. 439, No. 1, 189--195 (2013; Zbl 1305.15028) Full Text: DOI
Li, Zhongshan; Gao, Yubin; Arav, Marina; Gong, Fei; Gao, Wei; Hall, Frank J.; van der Holst, Hein Sign patterns with minimum rank 2 and upper bounds on minimum ranks. (English) Zbl 1278.15033 Linear Multilinear Algebra 61, No. 7, 895-908 (2013). Reviewer: Adhemar Bultheel (Leuven) MSC: 15B35 15B36 15B48 15A03 15A23 PDFBibTeX XMLCite \textit{Z. Li} et al., Linear Multilinear Algebra 61, No. 7, 895--908 (2013; Zbl 1278.15033) Full Text: DOI
Marsli, Rachid; Hall, Frank J. Geometric multiplicities and Geršgorin discs. (English) Zbl 1273.15010 Am. Math. Mon. 120, No. 5, 452-455 (2013). MSC: 15A18 15A42 PDFBibTeX XMLCite \textit{R. Marsli} and \textit{F. J. Hall}, Am. Math. Mon. 120, No. 5, 452--455 (2013; Zbl 1273.15010) Full Text: DOI
Fiedler, Miroslav; Hall, Frank J. Some graph theoretic properties of generalized complementary basic matrices. (English) Zbl 1261.05055 Linear Algebra Appl. 438, No. 8, 3365-3374 (2013). MSC: 05C50 05C40 05C45 05C20 15A23 15B48 PDFBibTeX XMLCite \textit{M. Fiedler} and \textit{F. J. Hall}, Linear Algebra Appl. 438, No. 8, 3365--3374 (2013; Zbl 1261.05055) Full Text: DOI
Fiedler, Miroslav; Hall, Frank J.; Marsli, Rachid Geršgorin discs revisited. (English) Zbl 1255.15008 Linear Algebra Appl. 438, No. 1, 598-603 (2013). MSC: 15A18 PDFBibTeX XMLCite \textit{M. Fiedler} et al., Linear Algebra Appl. 438, No. 1, 598--603 (2013; Zbl 1255.15008) Full Text: DOI
Fiedler, Miroslav; Hall, Frank J. A note on permanents and generalized complementary basic matrices. (English) Zbl 1241.15005 Linear Algebra Appl. 436, No. 9, 3553-3561 (2012). Reviewer: Dmitri Artamonov (Moscow) MSC: 15A15 15A23 15B57 15B48 PDFBibTeX XMLCite \textit{M. Fiedler} and \textit{F. J. Hall}, Linear Algebra Appl. 436, No. 9, 3553--3561 (2012; Zbl 1241.15005) Full Text: DOI
Fiedler, Miroslav; Hall, Frank J. G-matrices. (English) Zbl 1237.15024 Linear Algebra Appl. 436, No. 3, 731-741 (2012). Reviewer: Kaiming Zhao (Waterloo) MSC: 15B05 15A23 15B10 15B35 PDFBibTeX XMLCite \textit{M. Fiedler} and \textit{F. J. Hall}, Linear Algebra Appl. 436, No. 3, 731--741 (2012; Zbl 1237.15024) Full Text: DOI
Arav, Marina; Hall, Frank; Li, Zhongshan; Kaphle, Krishna; Manzagol, Nilay Spectrally arbitrary tree sign patterns of order 4. (English) Zbl 1207.15033 Electron. J. Linear Algebra 20, 180-197 (2010). MSC: 15B35 15A18 05C05 05C50 13P10 PDFBibTeX XMLCite \textit{M. Arav} et al., Electron. J. Linear Algebra 20, 180--197 (2010; Zbl 1207.15033) Full Text: DOI EuDML EMIS
Fiedler, Miroslav; Hall, Frank J. Some inheritance properties for complementary basic matrices. (English) Zbl 1254.15020 Linear Algebra Appl. 433, No. 11-12, 2060-2069 (2010). Reviewer: Ali Reza Moghaddamfar (Tehran) MSC: 15A23 15B35 15B48 PDFBibTeX XMLCite \textit{M. Fiedler} and \textit{F. J. Hall}, Linear Algebra Appl. 433, No. 11--12, 2060--2069 (2010; Zbl 1254.15020) Full Text: DOI
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
Arav, Marina; Hall, Frank; Li, Zhongshan; Rao, Bhaskara Rational solutions of certain matrix equations. (English) Zbl 1166.15005 Linear Algebra Appl. 430, No. 2-3, 660-663 (2009). Reviewer: Edgar Pereira (Covilha) MSC: 15A24 15B36 15A03 15A04 11D09 11P21 05B20 05C50 PDFBibTeX XMLCite \textit{M. Arav} et al., Linear Algebra Appl. 430, No. 2--3, 660--663 (2009; Zbl 1166.15005) Full Text: DOI
Arav, Marina; Hall, Frank; Li, Zhongshan; Merid, Assefa; Gao, Yubin Sign patterns that require almost unique rank. (English) Zbl 1157.15020 Linear Algebra Appl. 430, No. 1, 7-16 (2009). Reviewer: Sheng Chen (Harbin) MSC: 15B36 15A03 15A21 15B48 PDFBibTeX XMLCite \textit{M. Arav} et al., Linear Algebra Appl. 430, No. 1, 7--16 (2009; Zbl 1157.15020) Full Text: DOI
Arav, Marina; Hall, Frank J.; Li, Zhongshan A Cauchy-Schwarz inequality for triples of vectors. (English) Zbl 1183.15018 Math. Inequal. Appl. 11, No. 4, 629-634 (2008). Reviewer: Wing-Sum Cheung (Hong Kong) MSC: 15A45 52B10 PDFBibTeX XMLCite \textit{M. Arav} et al., Math. Inequal. Appl. 11, No. 4, 629--634 (2008; Zbl 1183.15018) Full Text: DOI
Arav, Marina; Bevis, Jean; Hall, Frank J. Inherited \(LU\)-factorizations of matrices. (English) Zbl 1133.15011 Linear Algebra Appl. 427, No. 1, 26-41 (2007). Reviewer: Erich W. Ellers (Toronto) MSC: 15A23 15A24 15B33 05C50 PDFBibTeX XMLCite \textit{M. Arav} et al., Linear Algebra Appl. 427, No. 1, 26--41 (2007; Zbl 1133.15011) Full Text: DOI
Arav, Marina; Hall, Frank J.; Koyucu, Selcuk; Li, Zhongshan; Rao, Bhaskara Rational realizations of the minimum rank of a sign pattern matrix. (English) Zbl 1079.15001 Linear Algebra Appl. 409, 111-125 (2005). Reviewer: Ian M. Wanless (Victoria) MSC: 15A03 15B36 11D09 PDFBibTeX XMLCite \textit{M. Arav} et al., Linear Algebra Appl. 409, 111--125 (2005; Zbl 1079.15001) Full Text: DOI
Li, Zhongshan; Hall, Frank J.; Stuart, Jeffrey L. Reducible powerful ray pattern matrices. (English) Zbl 1070.15008 Linear Algebra Appl. 399, 125-140 (2005). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 15A21 15B48 15B57 PDFBibTeX XMLCite \textit{Z. Li} et al., Linear Algebra Appl. 399, 125--140 (2005; Zbl 1070.15008) Full Text: DOI
Chen, Guantao; Davis, George; Hall, Frank; Li, Zhongshan; Patel, Kinnari; Stewart, Michael An interlacing result on normalized Laplacians. (English) Zbl 1079.05054 SIAM J. Discrete Math. 18, No. 2, 353-361 (2004). Reviewer: Ludwig Elsner (Bielefeld) MSC: 05C50 15A18 15A42 PDFBibTeX XMLCite \textit{G. Chen} et al., SIAM J. Discrete Math. 18, No. 2, 353--361 (2004; Zbl 1079.05054) Full Text: DOI
Hall, Frank J.; Li, Zhongshan; Rao, Bhaskara From Boolean to sign pattern matrices. (English) Zbl 1062.15011 Linear Algebra Appl. 393, 233-251 (2004). Reviewer: Carlos Martins de Fonseca (Coimbra) MSC: 15B36 15A09 15B48 15A21 06E30 PDFBibTeX XMLCite \textit{F. J. Hall} et al., Linear Algebra Appl. 393, 233--251 (2004; Zbl 1062.15011) Full Text: DOI
Chen, Guantao; Hall, Frank J.; Li, Zhongshan; Wei, Bing On ranks of matrices associated with trees. (English) Zbl 1023.05093 Graphs Comb. 19, No. 3, 323-334 (2003). MSC: 05C50 15B48 PDFBibTeX XMLCite \textit{G. Chen} et al., Graphs Comb. 19, No. 3, 323--334 (2003; Zbl 1023.05093) Full Text: DOI
Li, Zhongshan; Hall, Frank J.; Stuart, Jeffrey L. Irreducible powerful ray pattern matrices. (English) Zbl 0994.15026 Linear Algebra Appl. 342, No. 1-3, 47-58 (2002). Reviewer: Rodica Covaci (Cluj-Napoca) MSC: 15B57 15B48 05B20 PDFBibTeX XMLCite \textit{Z. Li} et al., Linear Algebra Appl. 342, No. 1--3, 47--58 (2002; Zbl 0994.15026) Full Text: DOI Link
Hall, Frank J.; Li, Zhongshan Inertia sets of symmetric sign pattern matrices. (English) Zbl 0997.15010 Numer. Math., J. Chin. Univ. 10, No. 2, 226-240 (2001). Reviewer: Václav Burjan (Praha) MSC: 15A18 65F30 15B48 05B20 PDFBibTeX XMLCite \textit{F. J. Hall} and \textit{Z. Li}, Numer. Math., J. Chin. Univ. 10, No. 2, 226--240 (2001; Zbl 0997.15010)
Hall, Frank J.; Li, Zhongshan; Wang, Di Symmetric sign pattern matrices that require unique inertia. (English) Zbl 0994.15028 Linear Algebra Appl. 338, No. 1-3, 153-169 (2001). Reviewer: Jitka Drkošova (Praha) MSC: 15B57 15A21 05C50 15A18 PDFBibTeX XMLCite \textit{F. J. Hall} et al., Linear Algebra Appl. 338, No. 1--3, 153--169 (2001; Zbl 0994.15028) Full Text: DOI
Eschenbach, Carolyn A.; Hall, Frank J.; Li, Zhongshan Eigenvalue distribution of certain ray patterns. (English) Zbl 1079.15504 Czech. Math. J. 50, No. 4, 749-762 (2000). MSC: 15A18 15B57 PDFBibTeX XMLCite \textit{C. A. Eschenbach} et al., Czech. Math. J. 50, No. 4, 749--762 (2000; Zbl 1079.15504) Full Text: DOI EuDML
Eschenbach, Carolyn; Hall, Frank; Hemasinha, Rohan; Kirkland, Stephen; Li, Zhongshan Properties of tournaments among well-matched players. (English) Zbl 0981.05053 Am. Math. Mon. 107, No. 10, 881-892 (2000). Reviewer: J.W.Moon (Edmonton) MSC: 05C20 05C50 15A15 15A18 PDFBibTeX XMLCite \textit{C. Eschenbach} et al., Am. Math. Mon. 107, No. 10, 881--892 (2000; Zbl 0981.05053) Full Text: DOI
Eschenbach, Carolyn; Hall, Frank; Hemasinha, Rohan; Kirkland, Stephen J.; Li, Zhongshan; Shader, Bryan L.; Stuart, Jeffrey L.; Weaver, James R. On almost regular tournament matrices. (English) Zbl 0947.05040 Linear Algebra Appl. 306, No. 1-3, 103-121 (2000). Reviewer: J.W.Moon (Edmonton) MSC: 05C20 05C50 15A15 15A18 PDFBibTeX XMLCite \textit{C. Eschenbach} et al., Linear Algebra Appl. 306, No. 1--3, 103--121 (2000; Zbl 0947.05040) Full Text: DOI
Eschenbach, Carolyn A.; Hall, Frank J.; Harrell, Deborah L.; Li, Zhongshan When does the inverse have the same sign pattern as the transpose? (English) Zbl 0954.15013 Czech. Math. J. 49, No. 2, 255-275 (1999). MSC: 15B33 05B20 PDFBibTeX XMLCite \textit{C. A. Eschenbach} et al., Czech. Math. J. 49, No. 2, 255--275 (1999; Zbl 0954.15013) Full Text: DOI EuDML
Hall, Frank J.; Li, Zhongshan Sign patterns of idempotent matrices. (English) Zbl 0937.15012 J. Korean Math. Soc. 36, No. 3, 469-487 (1999). Reviewer: Robert Guralnick (Los Angeles) MSC: 15B36 15A21 15A24 PDFBibTeX XMLCite \textit{F. J. Hall} and \textit{Z. Li}, J. Korean Math. Soc. 36, No. 3, 469--487 (1999; Zbl 0937.15012)
Eschenbach, Carolyn A.; Hall, Frank J.; Li, Zhongshan From real to complex sign pattern matrices. (English) Zbl 0951.15021 Bull. Aust. Math. Soc. 57, No. 1, 159-172 (1998). MSC: 15B57 15A15 05C38 PDFBibTeX XMLCite \textit{C. A. Eschenbach} et al., Bull. Aust. Math. Soc. 57, No. 1, 159--172 (1998; Zbl 0951.15021) Full Text: DOI
Eschenbach, Carolyn A.; Hall, Frank J.; Li, Zhongshan Some sign patterns that allow a real inverse pair \(B\) and \(B^{-1}\). (English) Zbl 0881.15027 Linear Algebra Appl. 252, 299-321 (1997). Reviewer: T.Nôno (Hiroshima) MSC: 15B57 15A09 65F30 PDFBibTeX XMLCite \textit{C. A. Eschenbach} et al., Linear Algebra Appl. 252, 299--321 (1997; Zbl 0881.15027) Full Text: DOI
Li, Zhongshan; Hall, Frank; Zhang, Fuzhen Sign patterns of nonnegative normal matrices. (English) Zbl 0871.15019 Linear Algebra Appl. 254, 335-354 (1997). Reviewer: G.Bonanno (Davis) MSC: 15B48 05B20 PDFBibTeX XMLCite \textit{Z. Li} et al., Linear Algebra Appl. 254, 335--354 (1997; Zbl 0871.15019) Full Text: DOI
Hall, Frank (ed.); Pothen, Alex (ed.); Uhlig, Frank (ed.); Van Dooren, Paul (ed.) Proceedings of the 5th conference of the International Linear Algebra Society, Atlanta, GA, USA, August 16–19, 1995. (English) Zbl 0865.00040 Linear Algebra Appl. 254, 554 p. (1997). MSC: 00B25 15-06 PDFBibTeX XML
Li, Zhongshan; Eschenbach, Carolyn A.; Hall, Frank J. The structure of nonnegative cyclic matrices. (English) Zbl 0874.15018 Linear Multilinear Algebra 41, No. 1, 23-33 (1996). Reviewer: K.Burian (Havířov) MSC: 15B48 05B20 PDFBibTeX XMLCite \textit{Z. Li} et al., Linear Multilinear Algebra 41, No. 1, 23--33 (1996; Zbl 0874.15018) Full Text: DOI
Eschenbach, Carolyn A.; Hall, Frank J.; Li, Zhongshan Eigenvalue frequency and consistent sign pattern matrices. (English) Zbl 0813.15014 Czech. Math. J. 44, No. 3, 461-479 (1994). Reviewer: K.H.Kim (Montgomery) MSC: 15A42 15A18 PDFBibTeX XMLCite \textit{C. A. Eschenbach} et al., Czech. Math. J. 44, No. 3, 461--479 (1994; Zbl 0813.15014) Full Text: EuDML
Li, Zhongshan; Hall, Frank; Eschenbach, Carolyn On the period and base of a sign pattern matrix. (English) Zbl 0821.15017 Linear Algebra Appl. 212-213, 101-120 (1994). Reviewer: S.E.Payne (Denver) MSC: 15B57 05C20 05C50 PDFBibTeX XMLCite \textit{Z. Li} et al., Linear Algebra Appl. 212--213, 101--120 (1994; Zbl 0821.15017) Full Text: DOI
Eschenbach, Carolyn A.; Hall, Frank J.; Li, Zhongshan Sign pattern matrices and generalized inverses. (English) Zbl 0811.15005 Linear Algebra Appl. 211, 53-66 (1994). Reviewer: G.Bonanno (Davis) MSC: 15A09 15B36 05B20 PDFBibTeX XMLCite \textit{C. A. Eschenbach} et al., Linear Algebra Appl. 211, 53--66 (1994; Zbl 0811.15005) Full Text: DOI
Eschenbach, Carolyn A.; Hall, Frank J.; Johnson, Charles R. Self-inverse sign patterns. (English) Zbl 0792.15008 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, 245-256 (1993). Reviewer: G.Bonanno (Davis) MSC: 15B36 05B20 PDFBibTeX XMLCite \textit{C. A. Eschenbach} et al., IMA Vol. Math. Appl. 50, 245--256 (1993; Zbl 0792.15008)
Bevis, Jean H.; Hall, Frank J. Nested range conditions for LU factorizations of integer matrices. (English) Zbl 0754.65027 Linear Algebra Appl. 172, 97-108 (1992). Reviewer: A.Ruhe (Göteborg) MSC: 65F05 15B36 15A23 PDFBibTeX XMLCite \textit{J. H. Bevis} and \textit{F. J. Hall}, Linear Algebra Appl. 172, 97--108 (1992; Zbl 0754.65027) Full Text: DOI
Bevis, Jean H.; Hall, Frank J. \(LDL^ T\) factorizations of adjacency matrices where \(D\) is block diagonal. (English) Zbl 0748.15013 Linear Algebra Appl. 162-164, 651-662 (1992). Reviewer: D.Kershaw (Lancaster) MSC: 15A23 05C50 15B36 05C30 PDFBibTeX XMLCite \textit{J. H. Bevis} and \textit{F. J. Hall}, Linear Algebra Appl. 162--164, 651--662 (1992; Zbl 0748.15013) Full Text: DOI
Bevis, Jean H.; Hall, Frank J. Integer LU-factorizations. (English) Zbl 0723.15012 Linear Algebra Appl. 150, 267-285 (1991). Reviewer: E.W.Ellers (Toronto) MSC: 15B36 15A23 65F05 05C50 PDFBibTeX XMLCite \textit{J. H. Bevis} and \textit{F. J. Hall}, Linear Algebra Appl. 150, 267--285 (1991; Zbl 0723.15012) Full Text: DOI
Bevis, Jean H.; Hall, Frank J.; Hartwig, Robert E. Conpseudosimilarity and consemisimilarity over a division ring. (English) Zbl 0701.15005 Linear Algebra Appl. 136, 181-188 (1990). Reviewer: W.Wiȩsław (Wrocław) MSC: 15A21 15B33 PDFBibTeX XMLCite \textit{J. H. Bevis} et al., Linear Algebra Appl. 136, 181--188 (1990; Zbl 0701.15005) Full Text: DOI
Bevis, Jean H.; Hall, Frank J.; Hartwig, Robert E. The matrix equation \(A\bar X-AB=C\) and its special cases. (English) Zbl 0655.15013 SIAM J. Matrix Anal. Appl. 9, No. 3, 348-359 (1988). Reviewer: J.de Graaf MSC: 15A24 PDFBibTeX XMLCite \textit{J. H. Bevis} et al., SIAM J. Matrix Anal. Appl. 9, No. 3, 348--359 (1988; Zbl 0655.15013) Full Text: DOI
Bevis, Jean H.; Hall, Frank J.; Hartwig, Robert E. Consimilarity and the matrix equation \(A\bar X-XB=C\). (English) Zbl 0655.15012 Current trends in matrix theory, Proc. 3rd Conf., Auburn/Ala. 1986, 51-64 (1987). Reviewer: J.de Graaf MSC: 15A24 PDFBibTeX XML
Bevis, Jean H.; Hall, Frank J.; Hartwig, Robert E. The Drazin inverse of a semilinear transformation and its matrix representation. (English) Zbl 0632.15002 Linear Algebra Appl. 97, 229-242 (1987). Reviewer: S.L.Campbell MSC: 15A09 15A04 PDFBibTeX XMLCite \textit{J. H. Bevis} et al., Linear Algebra Appl. 97, 229--242 (1987; Zbl 0632.15002) Full Text: DOI
Bevis, Jean H.; Hall, Frank J.; Hartwig, Robert E. Pseudo-consimilarity and semi-consimilarity of complex matrices. (English) Zbl 0629.15005 Linear Algebra Appl. 90, 73-80 (1987). Reviewer: P.Rudra MSC: 15A21 PDFBibTeX XMLCite \textit{J. H. Bevis} et al., Linear Algebra Appl. 90, 73--80 (1987; Zbl 0629.15005) Full Text: DOI
Hartwig, R. E.; Hall, F. J.; Katz, I. J. Block striped and block nested matrices. (English) Zbl 0592.15005 Linear algebra and its role in systems theory, Proc. AMS-IMS-SIAM Conf., Brunswick/Maine 1984, Contemp. Math. 47, 177-201 (1985). Reviewer: L.Bakule MSC: 15A24 15B57 15A27 15A06 93B17 PDFBibTeX XML
Hall, Frank J.; Hartwig, Robert E.; Katz, Irving J.; Newman, Morris Pseudo-similarity and partial unit regularity. (English) Zbl 0544.15005 Czech. Math. J. 33(108), 361-372 (1983). Reviewer: G.P.Barker MSC: 15B33 15A21 15A09 PDFBibTeX XMLCite \textit{F. J. Hall} et al., Czech. Math. J. 33(108), 361--372 (1983; Zbl 0544.15005) Full Text: EuDML
Bevis, Jean H.; Hall, Frank J. Monotonicity of integral matrices. (English) Zbl 0533.15013 Math. Jap. 28, 501-508 (1983). Reviewer: Sanjo Zlobec (Montreal) MSC: 15B48 15A09 PDFBibTeX XMLCite \textit{J. H. Bevis} and \textit{F. J. Hall}, Math. Japon. 28, 501--508 (1983; Zbl 0533.15013)
Bevis, Jean H.; Hall, Frank J. Some classes of integral matrices. (English) Zbl 0507.15012 Linear Algebra Appl. 48, 473-483 (1982). MSC: 15B36 15A06 11D04 PDFBibTeX XMLCite \textit{J. H. Bevis} and \textit{F. J. Hall}, Linear Algebra Appl. 48, 473--483 (1982; Zbl 0507.15012) Full Text: DOI
Hartwig, R. E.; Hall, F. J. Applications of the Drazin inverse to Cesaro-Neumann iterations. (English) Zbl 0506.65016 Recent applications of generalized inverses, Res. Notes Math. 66, 145-195 (1982). MSC: 65F20 15A09 40G05 15A24 PDFBibTeX XML
Hall, Frank J.; Hartwig, Robert E. Algebraic properties of governing matrices used in Cesaro-Neumann iterations. (English) Zbl 0468.65019 Rev. Roum. Math. Pures Appl. 26, 959-978 (1981). MSC: 65F10 65F20 15A09 PDFBibTeX XMLCite \textit{F. J. Hall} and \textit{R. E. Hartwig}, Rev. Roum. Math. Pures Appl. 26, 959--978 (1981; Zbl 0468.65019)
Hall, Frank J.; Katz, Irving J. Nonnegative integral generalized inverses. (English) Zbl 0464.15002 Linear Algebra Appl. 39, 23-39 (1981). MSC: 15A09 15B36 15B48 PDFBibTeX XMLCite \textit{F. J. Hall} and \textit{I. J. Katz}, Linear Algebra Appl. 39, 23--39 (1981; Zbl 0464.15002) Full Text: DOI
Bevis, Jean H.; Hall, Frank J.; Katz, Irving J. Integer generalized inverses of incidence matrices. (English) Zbl 0463.15009 Linear Algebra Appl. 39, 247-258 (1981). MSC: 15A09 15A21 05B20 15B33 05C50 PDFBibTeX XMLCite \textit{J. H. Bevis} et al., Linear Algebra Appl. 39, 247--258 (1981; Zbl 0463.15009) Full Text: DOI
Hall, Frank J.; Katz, Irving J. More on integral generalized inverses of integral matrices. (English) Zbl 0452.15005 Linear Multilinear Algebra 9, 201-209 (1980). MSC: 15A09 PDFBibTeX XMLCite \textit{F. J. Hall} and \textit{I. J. Katz}, Linear Multilinear Algebra 9, 201--209 (1980; Zbl 0452.15005) Full Text: DOI
Hall, Frank J. The Moore-Penrose inverse of particular bordered matrices. (English) Zbl 0412.15004 J. Aust. Math. Soc., Ser. A 27, 467-478 (1979). MSC: 15A09 PDFBibTeX XMLCite \textit{F. J. Hall}, J. Aust. Math. Soc., Ser. A 27, 467--478 (1979; Zbl 0412.15004)
Hall, Frank J.; Katz, Irving J. On ranks of integral generalized inverses of integral matrices. (English) Zbl 0398.15003 Linear Multilinear Algebra 7, 73-85 (1979). MSC: 15A09 15B36 PDFBibTeX XMLCite \textit{F. J. Hall} and \textit{I. J. Katz}, Linear Multilinear Algebra 7, 73--85 (1979; Zbl 0398.15003) Full Text: DOI
Hall, Frank J. On general bordered matrices. (English) Zbl 0439.15002 Bull. Calcutta Math. Soc. 70, 395-403 (1978). MSC: 15A09 PDFBibTeX XMLCite \textit{F. J. Hall}, Bull. Calcutta Math. Soc. 70, 395--403 (1978; Zbl 0439.15002)
Hall, Frank J.; Meyer, Carl D. jun. Generalized inverses of the fundamental bordered matrix used in linear estimation. (English) Zbl 0416.62053 Sankhyā, Ser. A 40, 399 (1978). MSC: 62J10 62J15 65F05 15A09 PDFBibTeX XMLCite \textit{F. J. Hall} and \textit{C. D. Meyer jun.}, Sankhyā, Ser. A 40, 399 (1978; Zbl 0416.62053)
Hall, Frank J.; Hartwig, Robert E.; Katz, Irving J. A note on pseudo-similarity of matrices. (English) Zbl 0398.15009 Ind. Math. 28, 25-36 (1978). MSC: 15A21 15A09 PDFBibTeX XMLCite \textit{F. J. Hall} et al., Ind. Math. 28, 25--36 (1978; Zbl 0398.15009)
Batigne, Daniel R.; Hall, Frank J.; Katz, Irving J. Further results on integral generalized inverses of integral matrices. (English) Zbl 0392.15009 Linear Multilinear Algebra 6, 233-241 (1978). MSC: 15B36 15A09 PDFBibTeX XMLCite \textit{D. R. Batigne} et al., Linear Multilinear Algebra 6, 233--241 (1978; Zbl 0392.15009) Full Text: DOI
Hartwig, R. E.; Hall, F. J. Pseudo-similarity for matrices over a field. (English) Zbl 0386.15013 Proc. Am. Math. Soc. 71, 6-10 (1978). MSC: 15A24 15A09 PDFBibTeX XMLCite \textit{R. E. Hartwig} and \textit{F. J. Hall}, Proc. Am. Math. Soc. 71, 6--10 (1978; Zbl 0386.15013) Full Text: DOI
Hall, Frank J.; Hartwig, Robert E. Further results on generalized inverses of partitioned matrices. (English) Zbl 0345.15005 SIAM J. appl. Math. 30, 617-624 (1976). MSC: 15A09 15A21 PDFBibTeX XMLCite \textit{F. J. Hall} and \textit{R. E. Hartwig}, SIAM J. Appl. Math. 30, 617--624 (1976; Zbl 0345.15005) Full Text: DOI
Hall, Frank J. On the independence of blocks of generalized inverses of bordered matrices. (English) Zbl 0345.15004 Linear Algebra Appl. 14, 53-61 (1976). MSC: 15A09 15A21 PDFBibTeX XMLCite \textit{F. J. Hall}, Linear Algebra Appl. 14, 53--61 (1976; Zbl 0345.15004) Full Text: DOI
Hall, Frank J. Generalized inverses of a bordered matrix of operators. (English) Zbl 0324.47007 SIAM J. appl. Math. 29, 152-163 (1975). MSC: 47A50 47A10 15A09 PDFBibTeX XMLCite \textit{F. J. Hall}, SIAM J. Appl. Math. 29, 152--163 (1975; Zbl 0324.47007) Full Text: DOI