Furtado, Susana; Johnson, Charles Efficient vectors for block perturbed consistent matrices. (English) Zbl 07805918 SIAM J. Matrix Anal. Appl. 45, No. 1, 601-618 (2024). MSC: 90Cxx 90B50 91B06 05C20 15B48 15A18 PDFBibTeX XMLCite \textit{S. Furtado} and \textit{C. Johnson}, SIAM J. Matrix Anal. Appl. 45, No. 1, 601--618 (2024; Zbl 07805918) Full Text: DOI arXiv
Furtado, Susana; Johnson, Charles R. Efficiency of any weighted geometric mean of the columns of a reciprocal matrix. (English) Zbl 1527.15036 Linear Algebra Appl. 680, 83-92 (2024). MSC: 15B48 05C20 90B50 91B06 PDFBibTeX XMLCite \textit{S. Furtado} and \textit{C. R. Johnson}, Linear Algebra Appl. 680, 83--92 (2024; Zbl 1527.15036) Full Text: DOI
Johnson, Charles Royal; Marijuán, Carlos; Pisonero, Miriam Diagonal dominance and invertibility of matrices. (English) Zbl 1523.15005 Spec. Matrices 11, Article ID 2022-0181, 4 p. (2023). MSC: 15A09 05B20 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Spec. Matrices 11, Article ID 2022--0181, 4 p. (2023; Zbl 1523.15005) Full Text: DOI
Johnson, Charles; Newman, Stephen; Spitkovsky, Ilya New views of the doubly stochastic single eigenvalue problem. (English) Zbl 1518.15012 Linear Multilinear Algebra 71, No. 9, 1462-1469 (2023). MSC: 15A18 15B51 PDFBibTeX XMLCite \textit{C. Johnson} et al., Linear Multilinear Algebra 71, No. 9, 1462--1469 (2023; Zbl 1518.15012) Full Text: DOI
Ding, Wenxuan; Ingwersen, Matthew; Johnson, Charles R. The minimum number of multiplicity 1 eigenvalues among real symmetric matrices whose graph is a 2-linear tree. (English) Zbl 1514.15014 Linear Multilinear Algebra 71, No. 6, 945-960 (2023). MSC: 15A18 05C50 05C05 PDFBibTeX XMLCite \textit{W. Ding} et al., Linear Multilinear Algebra 71, No. 6, 945--960 (2023; Zbl 1514.15014) Full Text: DOI
Ding, Wenxuan; Johnson, Charles R. The minimum number of multiplicity 1 eigenvalues among real symmetric matrices whose graph is a linear tree. (English) Zbl 1517.15005 Linear Algebra Appl. 665, 315-338 (2023). Reviewer: Juan Ramón Torregrosa Sánchez (Valencia) MSC: 15A18 05C07 05C05 05C50 05B20 PDFBibTeX XMLCite \textit{W. Ding} and \textit{C. R. Johnson}, Linear Algebra Appl. 665, 315--338 (2023; Zbl 1517.15005) Full Text: DOI
Furtado, Susana; Johnson, Charles The complete set of efficient vectors for a reciprocal matrix. arXiv:2305.05307 Preprint, arXiv:2305.05307 [math.CO] (2023). MSC: 90B50 91B06 05C20 15B48 BibTeX Cite \textit{S. Furtado} and \textit{C. Johnson}, ``The complete set of efficient vectors for a reciprocal matrix'', Preprint, arXiv:2305.05307 [math.CO] (2023) Full Text: arXiv OA License
Furtado, Susana; Johnson, Charles Efficient vectors in priority setting methodology. arXiv:2305.04886 Preprint, arXiv:2305.04886 [math.OC] (2023). MSC: 90B50 91B06 15A60 05C20 15B48 BibTeX Cite \textit{S. Furtado} and \textit{C. Johnson}, ``Efficient vectors in priority setting methodology'', Preprint, arXiv:2305.04886 [math.OC] (2023) Full Text: arXiv OA License
Cinzori, Isaac; Johnson, Charles R.; Lang, Hannah An explicit upper bound on disparity for trees of a given diameter. (English) Zbl 1511.05133 Linear Multilinear Algebra 70, No. 19, 4584-4596 (2022). MSC: 05C50 05C05 15A18 15A42 PDFBibTeX XMLCite \textit{I. Cinzori} et al., Linear Multilinear Algebra 70, No. 19, 4584--4596 (2022; Zbl 1511.05133) Full Text: DOI
Furtado, Susana; Johnson, Charles R. Power normal matrices. (English) Zbl 1509.15008 Linear Multilinear Algebra 70, No. 20, 5423-5432 (2022). Reviewer: Janko Marovt (Maribor) MSC: 15A23 15B57 PDFBibTeX XMLCite \textit{S. Furtado} and \textit{C. R. Johnson}, Linear Multilinear Algebra 70, No. 20, 5423--5432 (2022; Zbl 1509.15008) Full Text: DOI
Harlev, Amit; Johnson, Charles R.; Lim, Derek The doubly stochastic single eigenvalue problem: a computational approach. (English) Zbl 1501.15024 Exp. Math. 31, No. 3, 936-945 (2022). Reviewer: P. Shakila Banu (Erode) MSC: 15B51 15A18 15A29 05B20 PDFBibTeX XMLCite \textit{A. Harlev} et al., Exp. Math. 31, No. 3, 936--945 (2022; Zbl 1501.15024) Full Text: DOI arXiv
Johnson, Charles; Waugh, M.; Zhang, Yulin Tree sign pattern that permit eventual positivity. (English) Zbl 1507.15019 Linear Algebra Appl. 650, 162-168 (2022). Reviewer: Sanming Zhou (Parkville) MSC: 15B48 15B35 PDFBibTeX XMLCite \textit{C. Johnson} et al., Linear Algebra Appl. 650, 162--168 (2022; Zbl 1507.15019) Full Text: DOI
Ding, Wenxuan; Johnson, Charles R. The minimum number of multiplicity 1 eigenvalues among real symmetric matrices whose graph is a nonlinear tree. (English) Zbl 1489.15017 Spec. Matrices 10, 203-218 (2022). Reviewer: Rosário Fernandes (Lisboa) MSC: 15A18 05C50 05C05 15B57 PDFBibTeX XMLCite \textit{W. Ding} and \textit{C. R. Johnson}, Spec. Matrices 10, 203--218 (2022; Zbl 1489.15017) Full Text: DOI
Johnson, Charles R.; Wakhare, Tanay The inverse eigenvalue problem for linear trees. (English) Zbl 1483.15008 Discrete Math. 345, No. 4, Article ID 112737, 17 p. (2022). MSC: 15A29 15A18 05C50 05C05 PDFBibTeX XMLCite \textit{C. R. Johnson} and \textit{T. Wakhare}, Discrete Math. 345, No. 4, Article ID 112737, 17 p. (2022; Zbl 1483.15008) Full Text: DOI arXiv
Johnson, Charles R.; Tsoukalas, George; Wesley, Greyson C.; Zhao, Zachary \(k\)-NIM trees: Characterization and Enumeration. arXiv:2208.05450 Preprint, arXiv:2208.05450 [math.CO] (2022). MSC: 05C50 05C50 15B57 15A18 BibTeX Cite \textit{C. R. Johnson} et al., ``$k$-NIM trees: Characterization and Enumeration'', Preprint, arXiv:2208.05450 [math.CO] (2022) Full Text: arXiv OA License
Carter, Daniel; Johnson, Charles An Atomic Viewpoint of the TP Completion Problem. arXiv:2203.04484 Preprint, arXiv:2203.04484 [math.CO] (2022). MSC: 15A83 15B48 BibTeX Cite \textit{D. Carter} and \textit{C. Johnson}, ``An Atomic Viewpoint of the TP Completion Problem'', Preprint, arXiv:2203.04484 [math.CO] (2022) Full Text: arXiv OA License
Carter, D.; DiMarco, K. E.; Johnson, C. R.; Wedemeyer, L.; Yu, Z. The totally positive completion problem: the 3-by-n case. (English) Zbl 1479.15031 Spec. Matrices 9, 226-239 (2021). MSC: 15A83 15B48 PDFBibTeX XMLCite \textit{D. Carter} et al., Spec. Matrices 9, 226--239 (2021; Zbl 1479.15031) Full Text: DOI
Toyonaga, Kenji; Johnson, Charles R. Classification of edges in a general graph associated with the change in multiplicity of an eigenvalue. (English) Zbl 1473.15017 Linear Multilinear Algebra 69, No. 10, 1803-1812 (2021). Reviewer: Vladimir Mityushev (Kraków) MSC: 15A18 05C50 15B57 13H15 PDFBibTeX XMLCite \textit{K. Toyonaga} and \textit{C. R. Johnson}, Linear Multilinear Algebra 69, No. 10, 1803--1812 (2021; Zbl 1473.15017) Full Text: DOI
Furtado, Susana; Johnson, C. R.; Zhang, Yulin Linear preservers of copositive matrices. (English) Zbl 1472.15040 Linear Multilinear Algebra 69, No. 10, 1779-1788 (2021). MSC: 15A86 15A04 15B48 PDFBibTeX XMLCite \textit{S. Furtado} et al., Linear Multilinear Algebra 69, No. 10, 1779--1788 (2021; Zbl 1472.15040) Full Text: DOI Link
Johnson, Charles R.; Gruner, Emma The inverse characteristic polynomial problem for trees. (English) Zbl 1475.15020 Bastos, M. Amélia (ed.) et al., Operator theory, functional analysis and applications. Proceedings of the 30th international workshop on operator theory and its applications, IWOTA 2019, Lisbon, Portugal, July 22–26, 2019. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 282, 329-351 (2021). Reviewer: Dragan Stevanović (Niš) MSC: 15A29 05C50 05C05 PDFBibTeX XMLCite \textit{C. R. Johnson} and \textit{E. Gruner}, Oper. Theory: Adv. Appl. 282, 329--351 (2021; Zbl 1475.15020) Full Text: DOI
Jankowski, Eric; Johnson, Charles R. Eigenvalue paths arising from matrix paths. (English) Zbl 1475.15009 J. Math. Anal. Appl. 501, No. 2, Article ID 125207, 19 p. (2021). Reviewer: Kui Ji (Shijiazhuang) MSC: 15A18 47A55 PDFBibTeX XMLCite \textit{E. Jankowski} and \textit{C. R. Johnson}, J. Math. Anal. Appl. 501, No. 2, Article ID 125207, 19 p. (2021; Zbl 1475.15009) Full Text: DOI arXiv
Cinzori, Isaac; Johnson, Charles R.; Lang, Hannah; Saiago, Carlos M. Further generalization of symmetric multiplicity theory to the geometric case over a field. (English) Zbl 1457.05056 Spec. Matrices 9, 31-35 (2021). MSC: 05C38 05C50 05C05 15A18 PDFBibTeX XMLCite \textit{I. Cinzori} et al., Spec. Matrices 9, 31--35 (2021; Zbl 1457.05056) Full Text: DOI
Toyonaga, Kenji; Johnson, Charles R. The effect of perturbation of an off-diagonal entry pair on the geometric multiplicity of an eigenvalue. (English) Zbl 1469.15015 Linear Algebra Appl. 615, 112-142 (2021). Reviewer: Dean Crnković (Rijeka) MSC: 15A18 05C50 05B20 47A55 PDFBibTeX XMLCite \textit{K. Toyonaga} and \textit{C. R. Johnson}, Linear Algebra Appl. 615, 112--142 (2021; Zbl 1469.15015) Full Text: DOI
Fallat, Shaun; Johnson, Charles R.; Sokal, Alan D. Corrigendum to: “Total positivity of sums, Hadamard products and Hadamard powers: results and counterexamples”. (English) Zbl 1475.15041 Linear Algebra Appl. 613, 393-396 (2021). Reviewer: Luyining Gan (Reno) MSC: 15B48 15B05 44A60 PDFBibTeX XMLCite \textit{S. Fallat} et al., Linear Algebra Appl. 613, 393--396 (2021; Zbl 1475.15041) Full Text: DOI
Johnson, Charles R.; Saiago, Carlos M.; Toyonaga, Kenji Change in vertex status after removal of another vertex in the general setting. (English) Zbl 1476.15015 Linear Algebra Appl. 612, 128-145 (2021). Reviewer: Shariefuddin Pirzada (Srinagar) MSC: 15A18 05B20 05C50 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Linear Algebra Appl. 612, 128--145 (2021; Zbl 1476.15015) Full Text: DOI
Johnson, C. R.; Marijuán, C.; Pisonero, M. Ruling out certain 5-spectra with one repeated eigenvalue for the symmetric NIEP. (English) Zbl 1458.15018 Linear Algebra Appl. 612, 75-98 (2021). MSC: 15A18 15A29 15A42 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Linear Algebra Appl. 612, 75--98 (2021; Zbl 1458.15018) Full Text: DOI
Carter, Daniel; Johnson, Charles The Complexity of Checking Partial Total Positivity. arXiv:2103.08742 Preprint, arXiv:2103.08742 [cs.CC] (2021). MSC: 68Q17 15B48 68Q25 15A83 BibTeX Cite \textit{D. Carter} and \textit{C. Johnson}, ``The Complexity of Checking Partial Total Positivity'', Preprint, arXiv:2103.08742 [cs.CC] (2021) Full Text: arXiv OA License
Chang, Haoge; Johnson, C. R. Completion of TP and TN border patterns. (English) Zbl 1450.15027 Linear Multilinear Algebra 68, No. 9, 1753-1766 (2020). MSC: 15A83 15A15 15B48 PDFBibTeX XMLCite \textit{H. Chang} and \textit{C. R. Johnson}, Linear Multilinear Algebra 68, No. 9, 1753--1766 (2020; Zbl 1450.15027) Full Text: DOI
Johnson, Charles R.; Smith, Ronald L.; Tsatsomeros, Michael J. Matrix positivity. (English) Zbl 1469.15002 Cambridge Tracts in Mathematics 221. Cambridge: Cambridge University Press (ISBN 978-1-108-47871-7/hbk; 978-1-108-77861-9/ebook). xiv, 208 p. (2020). Reviewer: Frank Uhlig (Auburn) MSC: 15-01 15B48 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Matrix positivity. Cambridge: Cambridge University Press (2020; Zbl 1469.15002) Full Text: DOI
Johnson, Ch. R.; Peña, J. M.; Szulc, T. Rank of linear and quadratic combinations of matrices. (English) Zbl 1454.15002 Electron. J. Linear Algebra 36, 169-176 (2020). Reviewer: Janko Marovt (Maribor) MSC: 15A03 15A15 15A10 47A55 PDFBibTeX XMLCite \textit{Ch. R. Johnson} et al., Electron. J. Linear Algebra 36, 169--176 (2020; Zbl 1454.15002) Full Text: Link
Johnson, Charles R.; Julio, Ana I.; Soto, Ricardo L. Nonnegative realizability with Jordan structure. (English) Zbl 1475.15012 Linear Algebra Appl. 587, 302-313 (2020). MSC: 15A20 15A18 15A29 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Linear Algebra Appl. 587, 302--313 (2020; Zbl 1475.15012) Full Text: DOI
Bechtold, B. K.; Johnson, C. R. Monotonicity, path product matrices, and principal submatrices. (English) Zbl 1437.15043 Linear Algebra Appl. 593, 269-275 (2020). Reviewer: John D. Dixon (Ottawa) MSC: 15B48 15A21 15A09 15A15 PDFBibTeX XMLCite \textit{B. K. Bechtold} and \textit{C. R. Johnson}, Linear Algebra Appl. 593, 269--275 (2020; Zbl 1437.15043) Full Text: DOI
Jankowski, Eric; Johnson, Charles R.; Lim, Derek Spectra of convex hulls of matrix groups. (English) Zbl 1437.15013 Linear Algebra Appl. 593, 74-89 (2020). Reviewer: Sarah Plosker (Brandon) MSC: 15A18 15A29 15B51 20G20 47A67 47A75 PDFBibTeX XMLCite \textit{E. Jankowski} et al., Linear Algebra Appl. 593, 74--89 (2020; Zbl 1437.15013) Full Text: DOI arXiv
Johnson, Charles; Qu, Yaoxian; Wang, Duo; Wilkes, John Structured sequences and matrix ranks. (English) Zbl 1432.15030 Involve 13, No. 1, 1-8 (2020). MSC: 15B33 15A03 11B25 11B37 PDFBibTeX XMLCite \textit{C. Johnson} et al., Involve 13, No. 1, 1--8 (2020; Zbl 1432.15030) Full Text: DOI
Johnson, Charles R.; Paparella, Pietro Matricial proofs of some classical results about critical point location. (English) Zbl 1429.26024 Am. Math. Mon. 127, No. 1, 45-53 (2020). MSC: 26C10 15A60 30C15 PDFBibTeX XMLCite \textit{C. R. Johnson} and \textit{P. Paparella}, Am. Math. Mon. 127, No. 1, 45--53 (2020; Zbl 1429.26024) Full Text: DOI arXiv
Johnson, Charles; Morais, Gonçalo Bounded domains of negative multipliers. (English) Zbl 1417.37110 J. Math. Anal. Appl. 479, No. 1, 926-940 (2019). MSC: 37C60 34C15 34D06 15B57 PDFBibTeX XMLCite \textit{C. Johnson} and \textit{G. Morais}, J. Math. Anal. Appl. 479, No. 1, 926--940 (2019; Zbl 1417.37110) Full Text: DOI
Johnson, Charles R.; Saiago, Carlos M.; Toyonaga, Kenji The change in multiplicity of an eigenvalue due to adding or removing edges. (English) Zbl 1403.15007 Linear Algebra Appl. 560, 86-99 (2019). Reviewer: Janko Marovt (Maribor) MSC: 15A18 05C50 15B57 13H15 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Linear Algebra Appl. 560, 86--99 (2019; Zbl 1403.15007) Full Text: DOI
Johnson, Charles R.; Marijuán, Carlos; Paparella, Pietro; Pisonero, Miriam The NIEP. (English) Zbl 1427.15001 André, Carlos (ed.) et al., Operator theory, operator algebras, and matrix theory. Based on the presentations at the international workshop on operator theory and operator algebras, WOAT 2016, Lisbon, Portugal, July 5–8, 2016. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 267, 199-220 (2018). Reviewer: Tin Yau Tam (Reno) MSC: 15-02 15A29 15A18 15A42 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Oper. Theory: Adv. Appl. 267, 199--220 (2018; Zbl 1427.15001) Full Text: DOI arXiv Link
Johnson, Charles R.; Leal-Duarte, António; Saiago, Carlos M. The minimum number of eigenvalues of multiplicity one in a diagonalizable matrix, over a field, whose graph is a tree. (English) Zbl 1403.15006 Linear Algebra Appl. 559, 1-10 (2018). Reviewer: Dragan Stevanović (Niš) MSC: 15A18 05C05 05C50 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Linear Algebra Appl. 559, 1--10 (2018; Zbl 1403.15006) Full Text: DOI
Johnson, Charles R.; Saiago, Carlos M.; Toyonaga, Kenji Classification of vertices and edges with respect to the geometric multiplicity of an eigenvalue in a matrix, with a given graph, over a field. (English) Zbl 1406.15014 Linear Multilinear Algebra 66, No. 11, 2168-2182 (2018). MSC: 15A18 05C50 13H15 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Linear Multilinear Algebra 66, No. 11, 2168--2182 (2018; Zbl 1406.15014) Full Text: DOI
Collao, Macarena; Johnson, Charles R.; Soto, Ricardo L. Universal realizability of spectra with two positive eigenvalues. (English) Zbl 1391.15037 Linear Algebra Appl. 545, 226-239 (2018). MSC: 15A18 15A21 15A29 PDFBibTeX XMLCite \textit{M. Collao} et al., Linear Algebra Appl. 545, 226--239 (2018; Zbl 1391.15037) Full Text: DOI
Johnson, Charles R.; Saiago, Carlos M. Eigenvalues, multiplicities and graphs. (English) Zbl 1433.05002 Cambridge Tracts in Mathematics 211. Cambridge: Cambridge University Press (ISBN 978-1-107-09545-8/hbk; 978-1-316-15515-8/ebook). xxii, 291 p. (2018). Reviewer: Xiaogang Liu (Xi’an) MSC: 05-02 05C50 05C12 15A18 PDFBibTeX XMLCite \textit{C. R. Johnson} and \textit{C. M. Saiago}, Eigenvalues, multiplicities and graphs. Cambridge: Cambridge University Press (2018; Zbl 1433.05002) Full Text: DOI Link
Johnson, Charles R.; Zhang, Yulin Multiplicity lists for symmetric matrices whose graphs have few missing edges. (English) Zbl 1380.15009 Linear Algebra Appl. 540, 221-233 (2018). MSC: 15A18 15B57 05C50 PDFBibTeX XMLCite \textit{C. R. Johnson} and \textit{Y. Zhang}, Linear Algebra Appl. 540, 221--233 (2018; Zbl 1380.15009) Full Text: DOI Link
Johnson, Charles R.; Saiago, Carlos M. Geometric Parter-Wiener, etc. theory. (English) Zbl 1376.15030 Linear Algebra Appl. 537, 332-347 (2018). MSC: 15B57 15A18 05C05 05C50 PDFBibTeX XMLCite \textit{C. R. Johnson} and \textit{C. M. Saiago}, Linear Algebra Appl. 537, 332--347 (2018; Zbl 1376.15030) Full Text: DOI
Costas-Santos, R. S.; Johnson, C. R. Spectra of Tridiagonal Matrices over a Field. arXiv:1807.08877 Preprint, arXiv:1807.08877 [math.CA] (2018). MSC: 15A18 15B05 05C05 42C05 BibTeX Cite \textit{R. S. Costas-Santos} and \textit{C. R. Johnson}, ``Spectra of Tridiagonal Matrices over a Field'', Preprint, arXiv:1807.08877 [math.CA] (2018) Full Text: arXiv OA License
Johnson, Charles R.; Paparella, Pietro Row cones, Perron similarities, and nonnegative spectra. (English) Zbl 1387.15010 Linear Multilinear Algebra 65, No. 10, 2124-2130 (2017). MSC: 15A18 15A29 15B48 PDFBibTeX XMLCite \textit{C. R. Johnson} and \textit{P. Paparella}, Linear Multilinear Algebra 65, No. 10, 2124--2130 (2017; Zbl 1387.15010) Full Text: DOI arXiv
Johnson, Charles R.; Turnansky, Morrison Normal matrices subordinate to a graph. (English) Zbl 1489.15034 Linear Algebra Appl. 531, 54-63 (2017). MSC: 15A60 05C05 05C50 PDFBibTeX XMLCite \textit{C. R. Johnson} and \textit{M. Turnansky}, Linear Algebra Appl. 531, 54--63 (2017; Zbl 1489.15034) Full Text: DOI Link
Johnson, C. R.; Marijuán, C.; Pisonero, M. Symmetric nonnegative realizability via partitioned majorization. (English) Zbl 1375.15015 Linear Multilinear Algebra 65, No. 7, 1417-1426 (2017). Reviewer: C. M. da Fonseca (Safat) MSC: 15A18 15A29 15A42 65F18 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Linear Multilinear Algebra 65, No. 7, 1417--1426 (2017; Zbl 1375.15015) Full Text: DOI
Han, Xuchen; Johnson, Charles R.; Paparella, Pietro The critical exponent for generalized doubly nonnegative matrices. (English) Zbl 1360.15038 Linear Multilinear Algebra 65, No. 5, 1035-1044 (2017). MSC: 15B48 PDFBibTeX XMLCite \textit{X. Han} et al., Linear Multilinear Algebra 65, No. 5, 1035--1044 (2017; Zbl 1360.15038) Full Text: DOI arXiv
Toyonaga, Kenji; Johnson, Charles R. The classification of edges and the change in multiplicity of an eigenvalue of a real symmetric matrix resulting from the change in an edge value. (English) Zbl 1360.15014 Spec. Matrices 5, 51-60 (2017). MSC: 15A18 05C50 05C05 15B57 PDFBibTeX XMLCite \textit{K. Toyonaga} and \textit{C. R. Johnson}, Spec. Matrices 5, 51--60 (2017; Zbl 1360.15014) Full Text: DOI
Fallat, Shaun; Johnson, Charles R.; Sokal, Alan D. Total positivity of sums, Hadamard products and Hadamard powers: results and counterexamples. (English) Zbl 1359.15027 Linear Algebra Appl. 520, 242-259 (2017); corrigendum ibid. 613, 393-396 (2021). MSC: 15B48 15B05 44A60 PDFBibTeX XMLCite \textit{S. Fallat} et al., Linear Algebra Appl. 520, 242--259 (2017; Zbl 1359.15027) Full Text: DOI arXiv
Johnson, Charles R.; Paparella, Pietro A matricial view of the Karpelevič theorem. (English) Zbl 1359.15029 Linear Algebra Appl. 520, 1-15 (2017). MSC: 15B51 15A18 15A29 PDFBibTeX XMLCite \textit{C. R. Johnson} and \textit{P. Paparella}, Linear Algebra Appl. 520, 1--15 (2017; Zbl 1359.15029) Full Text: DOI arXiv
Johnson, Charles R.; Duarte, António Leal; Saiago, Carlos M. The number of distinct eigenvalues for which an index decreases multiplicity. (English) Zbl 1352.15013 Linear Algebra Appl. 516, 8-23 (2017). MSC: 15A18 05C05 05C50 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Linear Algebra Appl. 516, 8--23 (2017; Zbl 1352.15013) Full Text: DOI
Johnson, Charles R.; Leal-Duarte, António On the solvability of derived matrix problems, including completions and duals. (English) Zbl 1349.14180 Linear Algebra Appl. 514, 165-173 (2017). MSC: 14P10 15A99 PDFBibTeX XMLCite \textit{C. R. Johnson} and \textit{A. Leal-Duarte}, Linear Algebra Appl. 514, 165--173 (2017; Zbl 1349.14180) Full Text: DOI
Johnson, C. R.; Marijuán, C.; Pisonero, M. Ruling out certain 5-spectra for the symmetric nonnegative inverse eigenvalue problem. (English) Zbl 1353.15008 Linear Algebra Appl. 512, 129-135 (2017). MSC: 15A18 15A29 15A42 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Linear Algebra Appl. 512, 129--135 (2017; Zbl 1353.15008) Full Text: DOI
Johnson, Charles R.; Peña, J. M.; Szulc, Tomasz Optimal Gersgorin-style estimation of the largest singular value. II. (English) Zbl 1367.65055 Electron. J. Linear Algebra 31, 679-685 (2016). MSC: 65F15 15A18 15A42 15B48 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Electron. J. Linear Algebra 31, 679--685 (2016; Zbl 1367.65055) Full Text: DOI Link
Johnson, Charles R.; Marijuán, Carlos; Pisonero, Miriam; Yeh, Michael Exponential polynomial inequalities and monomial sum inequalities in \(\text{p}\)-Newton sequences. (English) Zbl 1413.11053 Czech. Math. J. 66, No. 3, 793-819 (2016). Reviewer: Jorma K. Merikoski (Tampere) MSC: 11B83 11C20 15A15 15A45 26D20 15A18 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Czech. Math. J. 66, No. 3, 793--819 (2016; Zbl 1413.11053) Full Text: DOI Link
Dorsey, Jonathan; Gannon, Tom; Johnson, Charles R.; Turnansky, Morrison New results about semi-positive matrices. (English) Zbl 1413.15021 Czech. Math. J. 66, No. 3, 621-632 (2016). MSC: 15A23 15A39 15A86 15B48 15B52 PDFBibTeX XMLCite \textit{J. Dorsey} et al., Czech. Math. J. 66, No. 3, 621--632 (2016; Zbl 1413.15021) Full Text: DOI Link
Buckley, Shannon P.; Corliss, Joseph G.; Johnson, Charles R.; Araúz Lombardía, Cristina; Saiago, Carlos M. Questions, conjectures, and data about multiplicity lists for trees. (English) Zbl 1350.05092 Linear Algebra Appl. 511, 72-109 (2016). MSC: 05C50 05C05 15A18 PDFBibTeX XMLCite \textit{S. P. Buckley} et al., Linear Algebra Appl. 511, 72--109 (2016; Zbl 1350.05092) Full Text: DOI
Johnson, Charles R.; Spitkovsky, Ilya M.; Stevanovic, Mirjana; Turnansky, Morrison Normal matrices subordinate to a tree and flat portions of the field of values. (English) Zbl 1343.05093 Linear Algebra Appl. 507, 198-207 (2016). MSC: 05C50 05B20 05C05 15A60 15B57 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Linear Algebra Appl. 507, 198--207 (2016; Zbl 1343.05093) Full Text: DOI
Dorsey, Jonathan; Gannon, Tom; Jacobson, Nathaniel; Johnson, Charles R.; Turnansky, Morrison Linear preservers of semi-positive matrices. (English) Zbl 1388.15026 Linear Multilinear Algebra 64, No. 9, 1853-1862 (2016). Reviewer: Abdellatif Bourhim (Syracuse) MSC: 15A86 15B48 15A39 PDFBibTeX XMLCite \textit{J. Dorsey} et al., Linear Multilinear Algebra 64, No. 9, 1853--1862 (2016; Zbl 1388.15026) Full Text: DOI
Hu, Xiaonan; Johnson, Charles R.; Davis, Caroline E.; Zhang, Yimeng Ranks of permutative matrices. (English) Zbl 1338.05030 Spec. Matrices 4, 233-246 (2016). MSC: 05B20 15A03 15A15 15B48 PDFBibTeX XMLCite \textit{X. Hu} et al., Spec. Matrices 4, 233--246 (2016; Zbl 1338.05030) Full Text: DOI
Costas-Santos, R. S.; Johnson, C. R. Matrices totally positive relative to a tree. II. (English) Zbl 1337.15025 Linear Algebra Appl. 505, 1-10 (2016). MSC: 15B48 05C50 15A18 PDFBibTeX XMLCite \textit{R. S. Costas-Santos} and \textit{C. R. Johnson}, Linear Algebra Appl. 505, 1--10 (2016; Zbl 1337.15025) Full Text: DOI arXiv
Johnson, Charles R.; Saiago, Carlos M. Diameter minimal trees. (English) Zbl 1338.05160 Linear Multilinear Algebra 64, No. 3, 557-571 (2016). Reviewer: Vilmar Trevisan (Porto Alegre) MSC: 05C50 05C12 05C35 05C05 15A18 PDFBibTeX XMLCite \textit{C. R. Johnson} and \textit{C. M. Saiago}, Linear Multilinear Algebra 64, No. 3, 557--571 (2016; Zbl 1338.05160) Full Text: DOI
Johnson, Charles R.; Reams, Robert B. Sufficient conditions to be exceptional. (English) Zbl 1338.15025 Spec. Matrices 4, 67-72 (2016). MSC: 15A18 15B48 15B57 15A63 PDFBibTeX XMLCite \textit{C. R. Johnson} and \textit{R. B. Reams}, Spec. Matrices 4, 67--72 (2016; Zbl 1338.15025) Full Text: DOI
Johnson, Charles R.; Paparella, Pietro Perron spectratopes and the real nonnegative inverse eigenvalue problem. (English) Zbl 1329.15028 Linear Algebra Appl. 493, 281-300 (2016). MSC: 15A18 15B48 15A29 05B20 05E30 PDFBibTeX XMLCite \textit{C. R. Johnson} and \textit{P. Paparella}, Linear Algebra Appl. 493, 281--300 (2016; Zbl 1329.15028) Full Text: DOI arXiv
Johnson, Charles R.; Zhang, Yulin TP perturbation of TN matrices and totally positive directions. (English) Zbl 1329.15065 Linear Algebra Appl. 490, 66-76 (2016). MSC: 15B48 15A83 PDFBibTeX XMLCite \textit{C. R. Johnson} and \textit{Y. Zhang}, Linear Algebra Appl. 490, 66--76 (2016; Zbl 1329.15065) Full Text: DOI
Higgins, Vijay; Johnson, Charles Inverse spectral problems for collections of leading principal submatrices of tridiagonal matrices. (English) Zbl 1325.15032 Linear Algebra Appl. 489, 104-122 (2016). MSC: 15B57 15A18 15A42 PDFBibTeX XMLCite \textit{V. Higgins} and \textit{C. Johnson}, Linear Algebra Appl. 489, 104--122 (2016; Zbl 1325.15032) Full Text: DOI
Hauke, Jan; Johnson, Charles R.; Ostrowski, Tadeusz Applications of saddle-point determinants. (English) Zbl 1463.15020 Discuss. Math., Gen. Algebra Appl. 35, No. 2, 213-220 (2015). MSC: 15A15 15B99 91A05 PDFBibTeX XMLCite \textit{J. Hauke} et al., Discuss. Math., Gen. Algebra Appl. 35, No. 2, 213--220 (2015; Zbl 1463.15020) Full Text: DOI
Toyonaga, Kenji; Johnson, Charles R. Application of an identity for subtrees with a given eigenvalue. (English) Zbl 1330.05042 Electron. J. Linear Algebra 30, 964-973 (2015). MSC: 05C05 05C50 15A18 13H15 PDFBibTeX XMLCite \textit{K. Toyonaga} and \textit{C. R. Johnson}, Electron. J. Linear Algebra 30, 964--973 (2015; Zbl 1330.05042) Full Text: DOI
Farber, Miriam; Johnson, Charles; Zhang, Leon The number of interlacing equalities resulting from removal of a vertex from a tree. (English) Zbl 1320.15005 SIAM J. Discrete Math. 29, No. 3, 1245-1258 (2015). MSC: 15A18 15B57 05C05 05C50 PDFBibTeX XMLCite \textit{M. Farber} et al., SIAM J. Discrete Math. 29, No. 3, 1245--1258 (2015; Zbl 1320.15005) Full Text: DOI Link
Johnson, Charles R.; Lins, Brian; Luo, Victor; Meehan, Sean Ordering graphs in a normalized singular value measure. (English) Zbl 1309.05062 Involve 8, No. 2, 263-273 (2015). MSC: 05C12 05C82 05C40 15A18 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Involve 8, No. 2, 263--273 (2015; Zbl 1309.05062) Full Text: DOI
Farber, Miriam; Johnson, Charles R. The structure of Schur complements in hollow, symmetric nonnegative matrices with two nonpositive eigenvalues. (English) Zbl 1369.15021 Linear Multilinear Algebra 63, No. 2, 423-438 (2015). MSC: 15B48 15B57 15A18 05C50 PDFBibTeX XMLCite \textit{M. Farber} and \textit{C. R. Johnson}, Linear Multilinear Algebra 63, No. 2, 423--438 (2015; Zbl 1369.15021) Full Text: DOI
Farber, Miriam; Faulk, Mitchell; Johnson, Charles R.; Marzion, Evan Exact results for perturbation to total positivity and to total nonsingularity. (English) Zbl 1327.15067 Electron. J. Linear Algebra 27, 779-797 (2014). MSC: 15B48 15B34 51E15 05C50 05C75 PDFBibTeX XMLCite \textit{M. Farber} et al., Electron. J. Linear Algebra 27, 779--797 (2014; Zbl 1327.15067) Full Text: DOI
Akin, V.; Johnson, C. R.; Nasserasr, S. TP\(_k\) completions of partial matrices with one unspecified entry. (English) Zbl 1327.15059 Electron. J. Linear Algebra 27, 426-443 (2014). MSC: 15A83 15B48 PDFBibTeX XMLCite \textit{V. Akin} et al., Electron. J. Linear Algebra 27, 426--443 (2014; Zbl 1327.15059) Full Text: DOI
Dorsey, J.; Johnson, C. R.; Wei, Z. Patterns with several multiple eigenvalues. (English) Zbl 1310.15052 Spec. Matrices 2, 200-205 (2014). MSC: 15B05 15A18 15B57 PDFBibTeX XMLCite \textit{J. Dorsey} et al., Spec. Matrices 2, 200--205 (2014; Zbl 1310.15052) Full Text: DOI
Johnson, Charles R.; Narayan, Sivaram K. The Koteljanskii inequalities for mixed matrices. (English) Zbl 1303.15023 Linear Multilinear Algebra 62, No. 12, 1583-1590 (2014). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A45 15A15 15A21 15B57 15B48 PDFBibTeX XMLCite \textit{C. R. Johnson} and \textit{S. K. Narayan}, Linear Multilinear Algebra 62, No. 12, 1583--1590 (2014; Zbl 1303.15023) Full Text: DOI
Johnson, Charles R.; Šmigoc, Helena; Yang, Dian Solution theory for systems of bilinear equations. (English) Zbl 1307.15040 Linear Multilinear Algebra 62, No. 12, 1553-1566 (2014). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A83 15A63 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Linear Multilinear Algebra 62, No. 12, 1553--1566 (2014; Zbl 1307.15040) Full Text: DOI arXiv
Johnson, C. R.; Nasserasr, S. Complete solution to the \(TP_{2}\) completion problem. (English) Zbl 1307.15039 Linear Multilinear Algebra 62, No. 10, 1403-1420 (2014). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A83 15B35 15B48 06A06 PDFBibTeX XMLCite \textit{C. R. Johnson} and \textit{S. Nasserasr}, Linear Multilinear Algebra 62, No. 10, 1403--1420 (2014; Zbl 1307.15039) Full Text: DOI
Furtado, Susana; Johnson, C. R.; Marijuán, C.; Pisonero, M. Submatrix monotonicity of the Perron root. II. (English) Zbl 1294.15009 Linear Algebra Appl. 458, 679-688 (2014). MSC: 15A18 15A42 15B48 18B35 PDFBibTeX XMLCite \textit{S. Furtado} et al., Linear Algebra Appl. 458, 679--688 (2014; Zbl 1294.15009) Full Text: DOI
Chen, Zhao; Grimm, Matthew; McMichael, Paul; Johnson, Charles R. Undirected graphs of Hermitian matrices that admit only two distinct eigenvalues. (English) Zbl 1295.05141 Linear Algebra Appl. 458, 403-428 (2014). MSC: 05C50 15B57 15A18 15A63 PDFBibTeX XMLCite \textit{Z. Chen} et al., Linear Algebra Appl. 458, 403--428 (2014; Zbl 1295.05141) Full Text: DOI
Farber, Miriam; Faulk, Mitchell; Johnson, Charles R.; Marzion, Evan Equal entries in totally positive matrices. (English) Zbl 1291.15077 Linear Algebra Appl. 454, 91-106 (2014). MSC: 15B48 15A83 05C50 05A05 PDFBibTeX XMLCite \textit{M. Farber} et al., Linear Algebra Appl. 454, 91--106 (2014; Zbl 1291.15077) Full Text: DOI arXiv
Furtado, Susana; Johnson, Charles R. On the similarity classes among products of \(m\) nonsingular matrices in various orders. (English) Zbl 1302.15015 Linear Algebra Appl. 450, 217-242 (2014). MSC: 15A23 15A18 PDFBibTeX XMLCite \textit{S. Furtado} and \textit{C. R. Johnson}, Linear Algebra Appl. 450, 217--242 (2014; Zbl 1302.15015) Full Text: DOI
Farber, Miriam; Johnson, Charles R.; Zhen, Wei Eigenvalue pairing in the response matrix for a class of network models with circular symmetry. (English) Zbl 1295.05143 Electron. J. Comb. 20, No. 3, Research Paper P17, 10 p. (2013). MSC: 05C50 15A18 90B10 05C10 PDFBibTeX XMLCite \textit{M. Farber} et al., Electron. J. Comb. 20, No. 3, Research Paper P17, 10 p. (2013; Zbl 1295.05143) Full Text: Link
Johnson, Charles R.; Price, Zachary; Spitkovsky, Ilya M. The distribution of eigenvalues of doubly cyclic \(Z^+\)-matrices. (English) Zbl 1283.15059 Linear Algebra Appl. 439, No. 11, 3576-3580 (2013). MSC: 15A42 15B05 15A15 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Linear Algebra Appl. 439, No. 11, 3576--3580 (2013; Zbl 1283.15059) Full Text: DOI
Johnson, Charles R.; Narayan, Sivaram K. When the positivity of the leading principal minors implies the positivity of all principal minors of a matrix. (English) Zbl 1283.15107 Linear Algebra Appl. 439, No. 10, 2934-2947 (2013). MSC: 15B48 15A18 15A21 PDFBibTeX XMLCite \textit{C. R. Johnson} and \textit{S. K. Narayan}, Linear Algebra Appl. 439, No. 10, 2934--2947 (2013; Zbl 1283.15107) Full Text: DOI
Johnson, C. R.; Marijuán, C.; Pisonero, M. Inequalities for linear combinations of monomials in p-Newton sequences. (English) Zbl 1305.15022 Linear Algebra Appl. 439, No. 7, 2038-2056 (2013). MSC: 15A15 26D20 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Linear Algebra Appl. 439, No. 7, 2038--2056 (2013; Zbl 1305.15022) Full Text: DOI
Corey, Dan; Johnson, Charles R.; Kirk, Ryan; Lins, Brian; Spitkovsky, Ilya Continuity properties of vectors realizing points in the classical field of values. (English) Zbl 1290.15012 Linear Multilinear Algebra 61, No. 10, 1329-1338 (2013). Reviewer: Wai-Shun Cheung (Hong Kong) MSC: 15A60 47A12 54C08 54C60 PDFBibTeX XMLCite \textit{D. Corey} et al., Linear Multilinear Algebra 61, No. 10, 1329--1338 (2013; Zbl 1290.15012) Full Text: DOI arXiv
Charles, Zachary B.; Farber, Miriam; Johnson, Charles R.; Kennedy-Shaffer, Lee Nonpositive eigenvalues of hollow, symmetric, nonnegative matrices. (English) Zbl 1282.15016 SIAM J. Matrix Anal. Appl. 34, No. 3, 1384-1400 (2013). Reviewer: Fozi Dannan (Damascus) MSC: 15A42 15B48 05C69 05C50 05D10 PDFBibTeX XMLCite \textit{Z. B. Charles} et al., SIAM J. Matrix Anal. Appl. 34, No. 3, 1384--1400 (2013; Zbl 1282.15016) Full Text: DOI
Johnson, Charles R.; Šmigoc, Helena A matricial proof of the symmetric exchange axiom for eigenvalues of principal submatrices of a complex Hermitian matrix. (English) Zbl 1277.15008 Linear Algebra Appl. 438, No. 9, 3719-3722 (2013). Reviewer: Frank Uhlig (Auburn) MSC: 15A18 15A29 15A83 15B57 PDFBibTeX XMLCite \textit{C. R. Johnson} and \textit{H. Šmigoc}, Linear Algebra Appl. 438, No. 9, 3719--3722 (2013; Zbl 1277.15008) Full Text: DOI
Corey, Daniel; Johnson, Charles R.; Kirk, Ryan; Lins, Brian; Spitkovsky, Ilya The product field of values. (English) Zbl 1272.15015 Linear Algebra Appl. 438, No. 5, 2155-2173 (2013). Reviewer: Wai-Shun Cheung (Hong Kong) MSC: 15A60 15B57 PDFBibTeX XMLCite \textit{D. Corey} et al., Linear Algebra Appl. 438, No. 5, 2155--2173 (2013; Zbl 1272.15015) Full Text: DOI
Johnson, Charles R.; Wei, Zhen Asymmetric TP and TN completion problems. (English) Zbl 1261.15035 Linear Algebra Appl. 438, No. 5, 2127-2135 (2013). Reviewer: Costică Moroşanu (Iaşi) MSC: 15A83 15B35 PDFBibTeX XMLCite \textit{C. R. Johnson} and \textit{Z. Wei}, Linear Algebra Appl. 438, No. 5, 2127--2135 (2013; Zbl 1261.15035) Full Text: DOI
Johnson, Charles R.; Nuckols, Jonathan; Spicer, Calum The implicit construction of multiplicity lists for classes of trees and verification of some conjectures. (English) Zbl 1258.05070 Linear Algebra Appl. 438, No. 5, 1990-2003 (2013). MSC: 05C50 05C05 05C07 15A18 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Linear Algebra Appl. 438, No. 5, 1990--2003 (2013; Zbl 1258.05070) Full Text: DOI
Charles, Zachary B.; Farber, Miriam; Johnson, Charles R.; Kennedy-Shaffer, Lee The relation between the diagonal entries and the eigenvalues of a symmetric matrix, based upon the sign pattern of its off-diagonal entries. (English) Zbl 1264.15046 Linear Algebra Appl. 438, No. 3, 1427-1445 (2013). Reviewer: Dimitris P. Vartziotis (Ioannina) MSC: 15B57 15A18 15B35 PDFBibTeX XMLCite \textit{Z. B. Charles} et al., Linear Algebra Appl. 438, No. 3, 1427--1445 (2013; Zbl 1264.15046) Full Text: DOI
Horn, Roger A.; Johnson, Charles R. Matrix analysis. 2nd ed. (English) Zbl 1267.15001 Cambridge: Cambridge University Press (ISBN 978-0-521-54823-6/pbk; 978-0-521-83940-2/hbk). xviii, 643 p. (2013). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15-01 15A18 15A21 15A23 15A42 15A45 15A60 15B48 15B57 15A63 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{C. R. Johnson}, Matrix analysis. 2nd ed. Cambridge: Cambridge University Press (2013; Zbl 1267.15001)
Johnson, Charles R.; Lewis, Drew; Zhang, YuLin Arbitrariness of Jordan structure in factorization: the geometric multiplicity restriction and the \(3 \times 3\) case. (English) Zbl 1261.15015 Asian-Eur. J. Math. 5, No. 3, Paper No. 1250036, 6 p. (2012). Reviewer: John D. Dixon (Ottawa) MSC: 15A21 15A23 15A18 15A15 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Asian-Eur. J. Math. 5, No. 3, Paper No. 1250036, 6 p. (2012; Zbl 1261.15015) Full Text: DOI
Johnson, C. R.; Marijuán, C.; Pisonero, M. Submatrix monotonicity of the Perron root. (English) Zbl 1255.15040 Linear Algebra Appl. 437, No. 10, 2429-2435 (2012). Reviewer: Igor Klep (Auckland) MSC: 15B48 15A18 15A42 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Linear Algebra Appl. 437, No. 10, 2429--2435 (2012; Zbl 1255.15040) Full Text: DOI
Johnson, Charles R.; Walch, Olivia Commuting pairs of patterns and symmetric realizations. (English) Zbl 1251.15021 Electron. J. Linear Algebra 25, 84-91 (2012). MSC: 15A27 05C50 PDFBibTeX XMLCite \textit{C. R. Johnson} and \textit{O. Walch}, Electron. J. Linear Algebra 25, 84--91 (2012; Zbl 1251.15021) Full Text: Link
Johnson, Charles R.; Walch, Olivia Critical exponents: old and new. (English) Zbl 1251.15011 Electron. J. Linear Algebra 25, 72-83 (2012). MSC: 15A16 15A99 PDFBibTeX XMLCite \textit{C. R. Johnson} and \textit{O. Walch}, Electron. J. Linear Algebra 25, 72--83 (2012; Zbl 1251.15011) Full Text: Link
Johnson, Ch. R.; Pena, J. M.; Szulc, T. Optimal Gersgorin-style estimation of the singular value. (English) Zbl 1250.65054 Electron. J. Linear Algebra 25, 48-59 (2012). MSC: 65F15 15A18 15A42 15B48 PDFBibTeX XMLCite \textit{Ch. R. Johnson} et al., Electron. J. Linear Algebra 25, 48--59 (2012; Zbl 1250.65054) Full Text: Link