Edit Profile (opens in new tab) Johnson, Charles Royal Co-Author Distance Author ID: johnson.charles-royal Published as: Johnson, Charles R.; Johnson, C. R.; Johnson, Charles; Johnson, Ch. R.; Johnson, Charles Royal; Johnson, C. more...less Homepage: https://www.wm.edu/as/mathematics/faculty-directory/johnson_c.php External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 484 Publications since 1970, including 10 Books and 11 Additional arXiv Preprints 5 Contributions as Editor · 1 Further Contribution Co-Authors: 240 Co-Authors with 413 Joint Publications 4,388 Co-Co-Authors all top 5 Co-Authors 52 single-authored 22 Furtado, Susana 21 Olesky, D. Dale 20 van den Driessche, Pauline 19 Saiago, Carlos M. 18 Fallat, Shaun M. 16 Smith, Ronald Lee 15 Leal-Duarte, António 13 Barrett, Wayne W. 13 Marijuán, Carlos 13 Pisonero, Miriam 11 Lundquist, Michael E. 11 Spitkovsky, Ilya Matvey 10 Drew, John H. 9 Horn, Roger Alan 9 Kroschel, Brenda K. 9 Loewy, Raphael 9 Nylen, Peter M. 8 Farber, Miriam 8 Reams, Robert B. 8 Stanford, David P. 8 Toyonaga, Kenji 8 Zhang, Yulin 7 Pierce, Stephen J. 7 Rodman, Leiba X. 7 Tarazaga, Pablo A. 7 Wolkowicz, Henry 6 Elsner, Ludwig F. 6 Hillar, Christopher J. 6 Paparella, Pietro 5 Bakonyi, Mihály 5 Carlson, David Hilding 5 Eschenbach, Carolyn A. 5 Howe, Eric C. 5 Lins, Brian 5 Narayan, Sivaram K. 5 Newman, Morris 5 Sutton, Brian D. 5 Szulc, Tomasz 5 Tsatsomeros, Michael J. 4 Dopico, Froilán M. 4 Gekhtman, Mikhaèl I. 4 Grone, Robert D. 4 Li, Chi-Kwong 4 Markham, Thomas L. 4 Marques de Sá, Eduardo 4 Maybee, John S. 4 Nasserasr, Shahla 4 Neumann, Michael 4 Peña, Juan Manuel 4 Schreiner, Erik A. 4 Turnansky, Morrison 4 Walch, Olivia 3 Bru, Rafael 3 Charles, Zachary B. 3 Costas-Santos, Roberto S. 3 Ding, Wenxuan 3 Dorsey, Jonathan 3 Graves-Morris, Peter R. 3 Hauke, Jan 3 Hershkowitz, Daniel 3 Kellogg, Bruce 3 Kennedy-Shaffer, Lee 3 McMichael, Paul R. 3 Perdigão Dias da Silva, José António 3 Soto, Ricardo Lorenzo 3 Wakhare, Tanay V. 2 Barnett, Stephen 2 Booth, Matthew 2 Carter, Daniel 2 Cinzori, Isaac 2 DeAlba, Luz Maria 2 Faulk, Mitchell 2 Fiedler, Miroslav 2 Gannon, Tom 2 Gelonch, José 2 Hackney, Philip 2 Hall, Frank J. 2 Hall, H. Tracy 2 Harris, Benjamin 2 Hogben, Leslie 2 Jankowski, Eric 2 Julio, Ana I. 2 Kirk, Ryan 2 Laffey, Thomas J. 2 Lang, Hannah 2 Lay, David Clark 2 Lay, Margaret 2 Leighton, Frank Thomson 2 Lenker, Terry D. 2 Lewis, Drew 2 Lim, Derek 2 Link, Joshua A. 2 Marzion, Evan 2 Mitchell, Lon Howard 2 Nævdal, Geir 2 Nath Datta, Biswa 2 Okubo, Kazuyoshi 2 Pascoe Streib, Amanda 2 Plemmons, Robert James 2 Porter, A. Duane ...and 175 more Co-Authors all top 5 Serials 173 Linear Algebra and its Applications 91 Linear and Multilinear Algebra 26 SIAM Journal on Matrix Analysis and Applications 20 ELA. The Electronic Journal of Linear Algebra 13 Discrete Mathematics 13 Journal of Research of the National Bureau of Standards 8 Proceedings of the American Mathematical Society 8 Special Matrices 7 SIAM Journal on Algebraic and Discrete Methods 4 American Mathematical Monthly 4 Discrete Applied Mathematics 4 Journal of Mathematical Analysis and Applications 4 Czechoslovak Mathematical Journal 3 Positivity 3 Involve 3 Asian-European Journal of Mathematics 2 Journal of Research of the National Bureau of Standards 2 Rocky Mountain Journal of Mathematics 2 Journal of the London Mathematical Society. Second Series 2 Computational Optimization and Applications 2 Numerical Linear Algebra with Applications 2 Mathematical Inequalities & Applications 2 Cambridge Tracts in Mathematics 2 MAA Notes 1 International Journal of Control 1 Journal of Statistical Physics 1 Mathematics of Computation 1 The Arabian Journal for Science and Engineering 1 Automatica 1 Canadian Mathematical Bulletin 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series B 1 Journal of Functional Analysis 1 Journal of Mathematical Economics 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Networks 1 Pacific Journal of Mathematics 1 Portugaliae Mathematica 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Circuits, Systems, and Signal Processing 1 Journal of Theoretical Probability 1 SIAM Journal on Discrete Mathematics 1 Aequationes Mathematicae 1 Experimental Mathematics 1 Economic Theory 1 The Electronic Journal of Combinatorics 1 Reliable Computing 1 Taiwanese Journal of Mathematics 1 Mathematical Proceedings of the Royal Irish Academy 1 Discussiones Mathematicae. General Algebra and Applications 1 Portugaliae Mathematica. Nova Série 1 Proyecciones 1 Contemporary Mathematics 1 Proceedings of Symposia in Applied Mathematics 1 Regional Conference Series in Mathematics 1 Operators and Matrices 1 The College Mathematics Journal 1 Discrete Mathematics, Algorithms and Applications 1 Princeton Series in Applied Mathematics all top 5 Fields 439 Linear and multilinear algebra; matrix theory (15-XX) 141 Combinatorics (05-XX) 35 Numerical analysis (65-XX) 20 Systems theory; control (93-XX) 19 Operator theory (47-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Operations research, mathematical programming (90-XX) 7 Group theory and generalizations (20-XX) 6 Computer science (68-XX) 5 General and overarching topics; collections (00-XX) 5 Number theory (11-XX) 5 Real functions (26-XX) 5 Probability theory and stochastic processes (60-XX) 4 History and biography (01-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Commutative algebra (13-XX) 4 Geometry (51-XX) 4 Convex and discrete geometry (52-XX) 4 Statistics (62-XX) 3 Mathematical logic and foundations (03-XX) 3 Ordinary differential equations (34-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 2 Quantum theory (81-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 392 Publications have been cited 12,897 times in 10,345 Documents Cited by ▼ Year ▼ Matrix analysis. Zbl 0576.15001 Horn, Roger A.; Johnson, Charles R. 4,130 1985 Topics in matrix analysis. Zbl 0729.15001 Horn, Roger A.; Johnson, Charles R. 2,246 1991 Matrix analysis. 2nd ed. Zbl 1267.15001 Horn, Roger A.; Johnson, Charles R. 1,333 2013 Matrix analysis. Reprinted with corrections. Zbl 0704.15002 Horn, Roger A.; Johnson, Charles R. 1,108 1990 Topics in matrix analysis. 1st paperback ed. with corrections. 1st pbk with corr. Zbl 0801.15001 Horn, Roger A.; Johnson, Charles R. 449 1994 Positive definite completions of partial Hermitian matrices. Zbl 0547.15011 Grone, Robert; Johnson, Charles R.; Marques de Sá, Eduardo; Wolkowicz, Henry 177 1984 Totally nonnegative matrices. Zbl 1390.15001 Fallat, Shaun M.; Johnson, Charles R. 145 2011 Row stochastic matrices similar to doubly stochastic matrices. Zbl 0455.15019 Johnson, Charles R. 92 1981 Inverse M-matrices. Zbl 0488.15011 Johnson, Charles R. 84 1982 The Parter–Wiener theorem: Refinement and generalization. Zbl 1067.15003 Johnson, Charles R.; Duarte, António Leal; Saiago, Carlos M. 77 2003 The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree. Zbl 0929.15005 Johnson, C. R.; Duarte, António Leal 71 1999 Normal matrices. Zbl 0613.15021 Grone, Robert; Johnson, Charles R.; Marques de Sá, Eduardo; Wolkowicz, Henry 64 1987 Numerical determination of the field of values of a general complex matrix. Zbl 0389.65018 Johnson, Charles R. 55 1978 Spectrally arbitrary patterns. Zbl 0957.15012 Drew, J. H.; Johnson, C. R.; Olesky, D. D.; van den Driessche, P. 52 2000 Hermitian matrices, eigenvalue multiplicities, and eigenvector components. Zbl 1083.15015 Johnson, Charles R.; Sutton, Brian D. 48 2004 The real and the symmetric nonnegative inverse eigenvalue problems are different. Zbl 0861.15007 Johnson, Charles R.; Laffey, Thomas J.; Loewy, Raphael 42 1996 On the minimum number of distinct eigenvalues for a symmetric matrix whose graph is a given tree. Zbl 1002.15010 Leal-Duarte, António; Johnson, Charles R. 42 2002 The Perron root of a weighted geometric mean of nonnegative matrices. Zbl 0684.15007 Elsner, L.; Johnson, Charles R.; Dias da Silva, J. A. 41 1988 Completely positive matrices associated with \(M\)-matrices. Zbl 0815.15019 Drew, John H.; Johnson, Charles R.; Loewy, Raphael 41 1994 A Gershgorin-type lower bound for the smallest singular value. Zbl 0723.15013 Johnson, Charles R. 41 1989 Inverse eigenvalue problems and lists of multiplicities of eigenvalues for matrices whose graph is a tree: The case of generalized stars and double generalized stars. Zbl 1035.15010 Johnson, Charles R.; Leal Duarte, António; Saiago, Carlos M. 38 2003 A note on cospectral graphs. Zbl 0431.05021 Johnson, Charles R.; Newman, Morris 38 1980 Lower bounds for the spread of a matrix. Zbl 0578.15013 Johnson, Charles R.; Kumar, Ravinder; Wolkowicz, Henry 37 1985 On the possible multiplicities of the eigenvalues of a Hermitian matrix whose graph is a tree. Zbl 1001.15004 Johnson, Charles R.; Leal Duarte, António 34 2002 The range of \(A^{-1} A^*\) in GL(n,C). Zbl 0292.15007 DePrima, C. R.; Johnson, C. R. 33 1974 On the minimum rank among positive semidefinite matrices with a given graph. Zbl 1226.05151 Booth, Matthew; Hackney, Philip; Harris, Benjamin; Johnson, Charles R.; Lay, Margaret; Mitchell, Lon H.; Narayan, Sivaram K.; Pascoe, Amanda; Steinmetz, Kelly; Sutton, Brian D.; Wang, Wendy 33 2008 The singular values of a Hadamard product: a basic inequality. Zbl 0633.15011 Ando, T.; Horn, Roger A.; Johnson, Charles R. 30 1987 Convex sets of nonsingular and \(P\)-matrices. Zbl 0824.15021 Johnson, Charles R.; Tsatsomeros, Michael J. 29 1995 Further lower bounds for the smallest singular value. Zbl 0891.15013 Johnson, Charles R.; Szulc, Tomasz 29 1998 Operator theory, analytic functions, matrices, and electrical engineering. Zbl 0639.47001 Helton, J. William 28 1987 Determinantal formulae for matrix completions associated with chordal graphs. Zbl 0681.15003 Barrett, Wayne W.; Johnson, Charles R.; Lundquist, Michael 28 1989 Inertia possibilities for completions of partial Hermitian matrices. Zbl 0548.15020 Johnson, Charles R.; Rodman, Leiba 28 1984 Normality and the numerical range. Zbl 0337.15019 Johnson, Charles R. 26 1976 Positive definite matrices. Zbl 0261.15012 Johnson, C. R. 26 1970 The real positive definite completion problem for a simple cycle. Zbl 0786.15027 Barrett, Wayne; Johnson, Charles R.; Tarazaga, Pablo 26 1993 The Euclidean distance matrix completion problem. Zbl 0823.15012 Bakonyi, Mihály; Johnson, Charles R. 25 1995 The real positive definite completion problem: Cycle completability. Zbl 0857.05068 Barrett, Wayne W.; Johnson, Charles R.; Loewy, Raphael 25 1996 The completion problem for \(M\)-matrices and inverse \(M\)-matrices. Zbl 0979.15009 Johnson, Charles R.; Smith, Ronald L. 25 1996 On the relative position of multiple eigenvalues in the spectrum of an Hermitian matrix with a given graph. Zbl 1022.15030 Johnson, Charles R.; Duarte, António Leal; Saiago, Carlos M.; Sutton, Brian D.; Witt, Andrew J. 25 2003 A generalization of Sylvester’s law of inertia. Zbl 0993.15011 Johnson, Charles R.; Furtado, Susana 24 2001 On matrices with Perron–Frobenius properties and some negative entries. Zbl 1078.15018 Johnson, Charles R.; Tarazaga, Pablo 24 2004 Sign patterns that require real, nonreal or pure imaginary eigenvalues. Zbl 0764.05015 Eschenbach, Carolyn A.; Johnson, Charles R. 24 1991 Connections between the real positive semidefinite and distance matrix completion problems. Zbl 0827.15032 Johnson, Charles R.; Tarazaga, Pablo 23 1995 Sub-direct sums and positivity classes of matrices. Zbl 0973.15013 Fallat, Shaun M.; Johnson, Charles R. 22 1999 A trace inequality for M-matrices and the symmetrizability of a real matrix by a positive diagonal matrix. Zbl 0597.15016 Fiedler, Miroslav; Johnson, Charles R.; Markham, Thomas L.; Neumann, Michael 22 1985 Eigenvalues, multiplicities and graphs. Zbl 1433.05002 Johnson, Charles R.; Saiago, Carlos M. 21 2018 Semipositivity of matrices. Zbl 0815.15018 Johnson, Charles R.; Kerr, M. Kathleen; Stanford, David P. 21 1994 Spanning-tree extensions of the Hadamard-Fischer inequalities. Zbl 0619.05021 Johnson, Charles R.; Barrett, Wayne W. 21 1985 Sign patterns of inverse-positive matrices. Zbl 0404.15007 Johnson, Charles R.; Leighton, Frank Thomson; Robinson, Herbert A. 21 1979 Linear maps on Hermitian matrices: The stabilizer of an inertia class. II. Zbl 0593.15021 Johnson, Charles R.; Pierce, Stephen 20 1986 Mathematical aspects of the relative gain array \((A\circ A^{-T})\). Zbl 0607.15013 Johnson, Charles R.; Shapiro, Helene M. 20 1986 Completion of partial matrices to contractions. Zbl 0626.47015 Johnson, Charles R.; Rodman, Leiba 19 1986 On the minimum semidefinite rank of a simple graph. Zbl 1223.05170 Booth, Matthew; Hackney, Philip; Harris, Benjamin; Johnson, Charles R.; Lay, Margaret; Lenker, Terry D.; Mitchell, Lon H.; Narayan, Sivaram K.; Pascoe, Amanda; Sutton, Brian D. 19 2011 Total positivity of sums, Hadamard products and Hadamard powers: results and counterexamples. Zbl 1359.15027 Fallat, Shaun; Johnson, Charles R.; Sokal, Alan D. 19 2017 Hadamard and conventional submultiplicativity for unitarily invariant norms on matrices. Zbl 0605.15017 Horn, Roger A.; Johnson, Charles R. 18 1987 The NIEP. Zbl 1427.15001 Johnson, Charles R.; Marijuán, Carlos; Paparella, Pietro; Pisonero, Miriam 18 2018 Determinantal formulae for matrices with sparse inverses. Zbl 0523.15008 Barrett, Wayne W.; Johnson, Charles R. 17 1984 A semi-definite Lyapunov theorem and the characterization of tridiagonal D-stable matrices. Zbl 0541.15008 Carlson, David; Datta, B. N.; Johnson, Charles R. 17 1982 The graphs for which the maximum multiplicity of an eigenvalue is two. Zbl 1225.05167 Johnson, Charles R.; Loewy, Raphael; Smith, Paul Anthony 17 2009 The combinatorially symmetric \(P\)-matrix completion problem. Zbl 0889.15007 Johnson, Charles R.; Kroschel, Brenda K. 17 1996 Monotonicity properties of norms. Zbl 0717.15015 Johnson, Charles R.; Nylen, Peter 17 1991 Matrix analysis. Transl. from the English by Kh. D. Ikramov, A. V. Knyazev and E. E. Tyrtyshnikov. Transl. ed. and with a foreword by Ikramov. (Матричный анализ.) Zbl 0734.15002 Horn, Roger A.; Johnson, Charles R. 17 1989 Sign patterns that require repeated eigenvalues. Zbl 0795.15008 Eschenbach, Carolyn A.; Johnson, Charles R. 17 1993 Some sign patterns that preclude matrix stability. Zbl 0676.15004 Jeffries, Clark; Johnson, Charles R. 16 1988 Inverse \(M\)-matrices. II. Zbl 1218.15015 Johnson, Charles R.; Smith, Ronald L. 16 2011 Uniqueness of matrix square roots and an application. Zbl 0976.15009 Johnson, Charles R.; Okubo, Kazuyoshi; Reams, Robert 16 2001 Spectral variation under congruence. Zbl 0998.15013 Furtado, Susana; Johnson, Charles R. 16 2001 Second, third, and fourth order D-stability. Zbl 0283.15005 Johnson, Charles R. 16 1974 The potentially stable tree sign patterns for dimensions less than five. Zbl 0723.05047 Johnson, Charles R.; Summers, Tracy A. 16 1989 Nested sequences of principal minors and potential stability. Zbl 0880.15025 Johnson, Charles R.; Maybee, John S.; Olesky, D. D.; van den Driessche, P. 16 1997 Perron spectratopes and the real nonnegative inverse eigenvalue problem. Zbl 1329.15028 Johnson, Charles R.; Paparella, Pietro 16 2016 Sign patterns of inverse nonnegative matrices. Zbl 0519.15008 Johnson, Charles R. 15 1983 Eigenvalues of words in two positive definite letters. Zbl 1007.68139 Johnson, Charles R.; Hillar, Christopher J. 15 2002 On the reduction of pairs of Hermitian or symmetric matrices to diagonal form by congruence. Zbl 0593.15005 Yoo Pyo Hong; Horn, Roger A.; Johnson, Charles R. 15 1986 Spectral theory of copositive matrices. Zbl 1064.15007 Johnson, Charles R.; Reams, Robert 15 2005 Linear transformations on \(M_ n({\mathbb{R}})\) that preserve the Ky Fan k- norm and a remarkable special case when \((n,k)=(4,2)\). Zbl 0658.15029 Johnson, Charles R.; Laffey, Thomas; Li, Chi-Kwong 14 1988 Convex sets of Hermitian matrices with constant inertia. Zbl 0577.15007 Johnson, Charles R.; Rodman, Leiba 14 1985 The general totally positive matrix completion problem with few unspecified entries. Zbl 0941.15009 Fallat, Shaun M.; Johnson, Charles R.; Smith, Ronald L. 13 2000 Estimation of the maximum multiplicity of an eigenvalue in terms of the vertex degrees of the graph of a matrix. Zbl 0999.15005 Johnson, Charles R.; Saiago, Carlos M. 13 2002 The relationship between \(AB\) and \(BA\). Zbl 0865.15010 Johnson, Charles R.; Schreiner, Erik A. 13 1996 Matrices with chordal inverse zero-patterns. Zbl 0787.15007 Johnson, Charles R.; Lundquist, Michael 13 1993 Hadamard powers and totally positive matrices. Zbl 1123.15014 Fallat, Shaun M.; Johnson, Charles R. 12 2007 Constructing copositive matrices from interior matrices. Zbl 1143.15023 Johnson, Charles R.; Reams, Robert 12 2008 The no long odd cycle theorem for completely positive matrices. Zbl 0838.15011 Drew, John H.; Johnson, Charles R. 12 1996 A combinatorial converse to the Perron-Frobenius theorem. Zbl 0739.15004 Eschenbach, Carolyn A.; Johnson, Charles R. 12 1990 Eigenvalue inequalities for principal submatrices. Zbl 0458.15013 Johnson, Charles R.; Robinson, Herbert A. 12 1981 Ranks of completions of partial matrices. Zbl 0676.15001 Cohen, Nir; Johnson, Charles R.; Rodman, Leiba; Woerdeman, Hugo J. 11 1989 Some outstanding problems in the theory of matrices. Zbl 0494.15002 Johnson, Charles R. 11 1982 On the effect of the perturbation of a nonnegative matrix on its Perron eigenvector. Zbl 0501.15010 Elsner, L.; Johnson, C. R.; Neumann, M. 11 1982 Olga, matrix theory and the Taussky unification problem. Zbl 0946.15001 Johnson, Charles R.; Fallat, Shaun 11 1998 The completely positive and doubly nonnegative completion problems. Zbl 0911.15012 Drew, John H.; Johnson, Charles R. 11 1998 A simple estimate of the condition number of a linear system. Zbl 1291.15022 Guggenheimer, Heinrich W.; Edelman, Alan S.; Johnson, Charles R. 11 1995 Spectra of matrices with P-matrix powers. Zbl 0612.15013 Hershkowitz, Daniel; Johnson, Charles R. 11 1986 Matrix completion problems: A survey. Zbl 0706.15024 Johnson, Charles R. 11 1990 Ordered multiplicity lists for eigenvalues of symmetric matrices whose graph is a linear tree. Zbl 1298.05068 Johnson, Charles R.; Li, Andrew A.; Walker, Andrew J. 11 2014 Inverse spectral problems for collections of leading principal submatrices of tridiagonal matrices. Zbl 1325.15032 Higgins, Vijay; Johnson, Charles 11 2016 Inequalities relating unitarily invariant norms and the numerical radius. Zbl 0644.15018 Johnson, Charles R.; Li, Chi-Kwong 10 1988 \(P\)-matrix completions under weak symmetry assumptions. Zbl 0963.15021 Fallat, Shaun M.; Johnson, Charles R.; Torregrosa, Juan R.; Urbano, Ana M. 10 2000 Completing a block diagonal matrix with a partially prescribed inverse. Zbl 0831.15010 Barrett, Wayne W.; Lundquist, Michael E.; Johnson, Charles R.; Woerdeman, Hugo J. 10 1995 Complementary bases in symplectic matrices and a proof that their determinant is one. Zbl 1112.15002 Dopico, Froilán M.; Johnson, Charles R. 10 2006 Efficiency of any weighted geometric mean of the columns of a reciprocal matrix. Zbl 1527.15036 Furtado, Susana; Johnson, Charles R. 1 2024 The inverse eigenvalue problem for linear trees. Zbl 1483.15008 Johnson, Charles R.; Wakhare, Tanay 4 2022 The doubly stochastic single eigenvalue problem: a computational approach. Zbl 1501.15024 Harlev, Amit; Johnson, Charles R.; Lim, Derek 1 2022 Classification of edges in a general graph associated with the change in multiplicity of an eigenvalue. Zbl 1473.15017 Toyonaga, Kenji; Johnson, Charles R. 2 2021 Corrigendum to: “The proportion of trees that are linear”. Zbl 1469.05082 Wakhare, Tanay; Wityk, Eric; Johnson, Charles R. 1 2021 Linear preservers of copositive matrices. Zbl 1472.15040 Furtado, Susana; Johnson, C. R.; Zhang, Yulin 1 2021 Ruling out certain 5-spectra with one repeated eigenvalue for the symmetric NIEP. Zbl 1458.15018 Johnson, C. R.; Marijuán, C.; Pisonero, M. 1 2021 Change in vertex status after removal of another vertex in the general setting. Zbl 1476.15015 Johnson, Charles R.; Saiago, Carlos M.; Toyonaga, Kenji 1 2021 Corrigendum to: “Total positivity of sums, Hadamard products and Hadamard powers: results and counterexamples”. Zbl 1475.15041 Fallat, Shaun; Johnson, Charles R.; Sokal, Alan D. 1 2021 Nonnegative realizability with Jordan structure. Zbl 1475.15012 Johnson, Charles R.; Julio, Ana I.; Soto, Ricardo L. 9 2020 Matrix positivity. Zbl 1469.15002 Johnson, Charles R.; Smith, Ronald L.; Tsatsomeros, Michael J. 5 2020 Branch duplication in trees: uniqueness of sedes and enumeration of sedes. Zbl 1451.05117 Johnson, Charles R.; Lettie, Jacob; Mack-Crane, Sander; Szabelska-Beręsewicz, Alicja 3 2020 The proportion of trees that are linear. Zbl 1445.05051 Wakhare, Tanay; Wityk, Eric; Johnson, Charles R. 2 2020 Spectra of convex hulls of matrix groups. Zbl 1437.15013 Jankowski, Eric; Johnson, Charles R.; Lim, Derek 1 2020 Target control and source estimation metrics for dynamical networks. Zbl 1415.93055 Vosughi, Amirkhosro; Johnson, Charles; Xue, Mengran; Roy, Sandip; Warnick, Sean 3 2019 The change in multiplicity of an eigenvalue due to adding or removing edges. Zbl 1403.15007 Johnson, Charles R.; Saiago, Carlos M.; Toyonaga, Kenji 2 2019 Eigenvalues, multiplicities and graphs. Zbl 1433.05002 Johnson, Charles R.; Saiago, Carlos M. 21 2018 The NIEP. Zbl 1427.15001 Johnson, Charles R.; Marijuán, Carlos; Paparella, Pietro; Pisonero, Miriam 18 2018 Universal realizability of spectra with two positive eigenvalues. Zbl 1391.15037 Collao, Macarena; Johnson, Charles R.; Soto, Ricardo L. 9 2018 Geometric Parter-Wiener, etc. theory. Zbl 1376.15030 Johnson, Charles R.; Saiago, Carlos M. 7 2018 Classification of vertices and edges with respect to the geometric multiplicity of an eigenvalue in a matrix, with a given graph, over a field. Zbl 1406.15014 Johnson, Charles R.; Saiago, Carlos M.; Toyonaga, Kenji 4 2018 The minimum number of eigenvalues of multiplicity one in a diagonalizable matrix, over a field, whose graph is a tree. Zbl 1403.15006 Johnson, Charles R.; Leal-Duarte, António; Saiago, Carlos M. 2 2018 Multiplicity lists for symmetric matrices whose graphs have few missing edges. Zbl 1380.15009 Johnson, Charles R.; Zhang, Yulin 1 2018 Total positivity of sums, Hadamard products and Hadamard powers: results and counterexamples. Zbl 1359.15027 Fallat, Shaun; Johnson, Charles R.; Sokal, Alan D. 19 2017 A matricial view of the Karpelevič theorem. Zbl 1359.15029 Johnson, Charles R.; Paparella, Pietro 9 2017 Ruling out certain 5-spectra for the symmetric nonnegative inverse eigenvalue problem. Zbl 1353.15008 Johnson, C. R.; Marijuán, C.; Pisonero, M. 8 2017 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. Zbl 1360.15014 Toyonaga, Kenji; Johnson, Charles R. 7 2017 On the solvability of derived matrix problems, including completions and duals. Zbl 1349.14180 Johnson, Charles R.; Leal-Duarte, António 3 2017 Symmetric nonnegative realizability via partitioned majorization. Zbl 1375.15015 Johnson, C. R.; Marijuán, C.; Pisonero, M. 3 2017 Changes in vertex status and the fundamental decomposition of a tree relative to a multiple (parter) eigenvalue. Zbl 1372.05172 Johnson, Charles R.; Leal-Duarte, António; McMichael, Paul R. 2 2017 Row cones, Perron similarities, and nonnegative spectra. Zbl 1387.15010 Johnson, Charles R.; Paparella, Pietro 1 2017 Perron spectratopes and the real nonnegative inverse eigenvalue problem. Zbl 1329.15028 Johnson, Charles R.; Paparella, Pietro 16 2016 Inverse spectral problems for collections of leading principal submatrices of tridiagonal matrices. Zbl 1325.15032 Higgins, Vijay; Johnson, Charles 11 2016 Diameter minimal trees. Zbl 1338.05160 Johnson, Charles R.; Saiago, Carlos M. 8 2016 New results about semi-positive matrices. Zbl 1413.15021 Dorsey, Jonathan; Gannon, Tom; Johnson, Charles R.; Turnansky, Morrison 6 2016 Ranks of permutative matrices. Zbl 1338.05030 Hu, Xiaonan; Johnson, Charles R.; Davis, Caroline E.; Zhang, Yimeng 5 2016 Linear preservers of semi-positive matrices. Zbl 1388.15026 Dorsey, Jonathan; Gannon, Tom; Jacobson, Nathaniel; Johnson, Charles R.; Turnansky, Morrison 5 2016 Questions, conjectures, and data about multiplicity lists for trees. Zbl 1350.05092 Buckley, Shannon P.; Corliss, Joseph G.; Johnson, Charles R.; Araúz Lombardía, Cristina; Saiago, Carlos M. 4 2016 Sufficient conditions to be exceptional. Zbl 1338.15025 Johnson, Charles R.; Reams, Robert B. 2 2016 Normal matrices subordinate to a tree and flat portions of the field of values. Zbl 1343.05093 Johnson, Charles R.; Spitkovsky, Ilya M.; Stevanovic, Mirjana; Turnansky, Morrison 2 2016 Optimal Gersgorin-style estimation of the largest singular value. II. Zbl 1367.65055 Johnson, Charles R.; Peña, J. M.; Szulc, Tomasz 1 2016 The structure of Schur complements in hollow, symmetric nonnegative matrices with two nonpositive eigenvalues. Zbl 1369.15021 Farber, Miriam; Johnson, Charles R. 1 2015 The number of interlacing equalities resulting from removal of a vertex from a tree. Zbl 1320.15005 Farber, Miriam; Johnson, Charles; Zhang, Leon 1 2015 Ordered multiplicity lists for eigenvalues of symmetric matrices whose graph is a linear tree. Zbl 1298.05068 Johnson, Charles R.; Li, Andrew A.; Walker, Andrew J. 11 2014 Undirected graphs of Hermitian matrices that admit only two distinct eigenvalues. Zbl 1295.05141 Chen, Zhao; Grimm, Matthew; McMichael, Paul; Johnson, Charles R. 6 2014 Equal entries in totally positive matrices. Zbl 1291.15077 Farber, Miriam; Faulk, Mitchell; Johnson, Charles R.; Marzion, Evan 3 2014 Complete solution to the \(TP_{2}\) completion problem. Zbl 1307.15039 Johnson, C. R.; Nasserasr, S. 2 2014 Submatrix monotonicity of the Perron root. II. Zbl 1294.15009 Furtado, Susana; Johnson, C. R.; Marijuán, C.; Pisonero, M. 1 2014 The sock matching problem. Zbl 1297.05019 Gilliand, Sarah; Johnson, Charles; Rush, Sam; Wood, Deborah 1 2014 The Koteljanskii inequalities for mixed matrices. Zbl 1303.15023 Johnson, Charles R.; Narayan, Sivaram K. 1 2014 TP\(_k\) completions of partial matrices with one unspecified entry. Zbl 1327.15059 Akin, V.; Johnson, C. R.; Nasserasr, S. 1 2014 Exact results for perturbation to total positivity and to total nonsingularity. Zbl 1327.15067 Farber, Miriam; Faulk, Mitchell; Johnson, Charles R.; Marzion, Evan 1 2014 On the similarity classes among products of \(m\) nonsingular matrices in various orders. Zbl 1302.15015 Furtado, Susana; Johnson, Charles R. 1 2014 Matrix analysis. 2nd ed. Zbl 1267.15001 Horn, Roger A.; Johnson, Charles R. 1,333 2013 The implicit construction of multiplicity lists for classes of trees and verification of some conjectures. Zbl 1258.05070 Johnson, Charles R.; Nuckols, Jonathan; Spicer, Calum 7 2013 Nonpositive eigenvalues of hollow, symmetric, nonnegative matrices. Zbl 1282.15016 Charles, Zachary B.; Farber, Miriam; Johnson, Charles R.; Kennedy-Shaffer, Lee 6 2013 Continuity properties of vectors realizing points in the classical field of values. Zbl 1290.15012 Corey, Dan; Johnson, Charles R.; Kirk, Ryan; Lins, Brian; Spitkovsky, Ilya 6 2013 Asymmetric TP and TN completion problems. Zbl 1261.15035 Johnson, Charles R.; Wei, Zhen 4 2013 The relation between the diagonal entries and the eigenvalues of a symmetric matrix, based upon the sign pattern of its off-diagonal entries. Zbl 1264.15046 Charles, Zachary B.; Farber, Miriam; Johnson, Charles R.; Kennedy-Shaffer, Lee 2 2013 The product field of values. Zbl 1272.15015 Corey, Daniel; Johnson, Charles R.; Kirk, Ryan; Lins, Brian; Spitkovsky, Ilya 2 2013 Nonpositive eigenvalues of the adjacency matrix and lower bounds for Laplacian eigenvalues. Zbl 1279.05046 Charles, Zachary B.; Farber, Miriam; Johnson, Charles R.; Kennedy-Shaffer, Lee 2 2013 Eigenvalue pairing in the response matrix for a class of network models with circular symmetry. Zbl 1295.05143 Farber, Miriam; Johnson, Charles R.; Zhen, Wei 1 2013 Inequalities for linear combinations of monomials in p-Newton sequences. Zbl 1305.15022 Johnson, C. R.; Marijuán, C.; Pisonero, M. 1 2013 When the positivity of the leading principal minors implies the positivity of all principal minors of a matrix. Zbl 1283.15107 Johnson, Charles R.; Narayan, Sivaram K. 1 2013 The distribution of eigenvalues of doubly cyclic \(Z^+\)-matrices. Zbl 1283.15059 Johnson, Charles R.; Price, Zachary; Spitkovsky, Ilya M. 1 2013 The change in eigenvalue multiplicity associated with perturbation of a diagonal entry. Zbl 1247.15007 Johnson, Charles R.; Leal-Duarte, António; Saiago, Carlos M. 7 2012 Critical exponents: old and new. Zbl 1251.15011 Johnson, Charles R.; Walch, Olivia 5 2012 Submatrix monotonicity of the Perron root. Zbl 1255.15040 Johnson, C. R.; Marijuán, C.; Pisonero, M. 2 2012 Totally positive shapes and \(TP_{k}\)-completable patterns. Zbl 1242.15023 Hoff, D.; Johnson, C. R.; Nasserasr, S. 1 2012 Minimizing the least eigenvalue of graphs with fixed order and size. Zbl 1245.05086 Johnson, Charles R.; Sawikowska, Aneta 1 2012 Optimal Gersgorin-style estimation of the singular value. Zbl 1250.65054 Johnson, Ch. R.; Pena, J. M.; Szulc, T. 1 2012 Totally nonnegative matrices. Zbl 1390.15001 Fallat, Shaun M.; Johnson, Charles R. 145 2011 On the minimum semidefinite rank of a simple graph. Zbl 1223.05170 Booth, Matthew; Hackney, Philip; Harris, Benjamin; Johnson, Charles R.; Lay, Margaret; Lenker, Terry D.; Mitchell, Lon H.; Narayan, Sivaram K.; Pascoe, Amanda; Sutton, Brian D. 19 2011 Inverse \(M\)-matrices. II. Zbl 1218.15015 Johnson, Charles R.; Smith, Ronald L. 16 2011 The change in multiplicity of an eigenvalue of a Hermitian matrix associated with the removal of an edge from its graph. Zbl 1225.05168 Johnson, Charles R.; McMichael, Paul R. 9 2011 The ratio field of values. Zbl 1209.15024 Einstein, Eduard; Johnson, Charles R.; Lins, Brian; Spitkovsky, Ilya 5 2011 The critical exponent for continuous conventional powers of doubly nonnegative matrices. Zbl 1221.15046 Johnson, Charles R.; Lins, Brian; Walch, Olivia 4 2011 Equilibrants, semipositive matrices, calculation and scaling. Zbl 1211.15045 Johnson, Charles R.; Tong, Zheng 3 2011 Monomial inequalities for Newton coefficients and determinantal inequalities for \(p\)-Newton matrices. Zbl 1250.15025 Johnson, C. R.; Marijuán, C.; Pisonero, M.; Walch, O. 2 2011 Conditions for a totally positive completion in the case of a symmetrically placed cycle. Zbl 1226.05157 Johnson, Charles R.; Kroschel, Brenda K. 1 2011 Eigenvalue assignments and the two largest multiplicities in a Hermitian matrix whose graph is a tree. Zbl 1225.05166 Johnson, Charles R.; Jordan-Squire, Christopher; Sher, David A. 7 2010 On the possible ranks among matrices with a given pattern. Zbl 1210.15002 Johnson, Charles R.; Zhang, Yulin 4 2010 TP\(_2\) = Bruhat. Zbl 1225.05009 Johnson, C. R.; Nasserasr, S. 2 2010 Order invariant spectral properties for several matrices. Zbl 1187.15011 Furtado, Susana; Johnson, Charles R. 2 2010 The Jordan form problem for \(C = AB\): the balanced, diagonalizable case. Zbl 1213.15010 Johnson, Charles R.; Zhang, YuLin 2 2010 Spectra that are Newton after extension or translation. Zbl 1205.15018 Johnson, C. R.; Marijuán, C.; Pisonero, M. 1 2010 Gangster operators and invincibility of positive semidefinite matrices. Zbl 1216.15023 Ferguson, Timothy; Johnson, Charles 1 2010 The graphs for which the maximum multiplicity of an eigenvalue is two. Zbl 1225.05167 Johnson, Charles R.; Loewy, Raphael; Smith, Paul Anthony 17 2009 Parametrization of the matrix symplectic group and applications. Zbl 1193.15011 Dopico, Froilán M.; Johnson, Charles R. 8 2009 Matrices and spectra satisfying the Newton inequalities. Zbl 1189.15009 Johnson, C. R.; Marijuán, C.; Pisonero, M. 7 2009 Implicit construction of multiple eigenvalues for trees. Zbl 1176.15011 Johnson, Charles R.; Sutton, Brian D.; Witt, Andrew J. 7 2009 Scaling of symmetric matrices by positive diagonal congruence. Zbl 1166.15011 Johnson, Charles R.; Reams, Robert 7 2009 Solution theory for complete bilinear systems of equations. Zbl 1224.15047 Johnson, Charles R.; Link, Joshua A. 4 2009 General resolution of a convergence question of L. Krukier. Zbl 1224.15044 Johnson, Charles; Krukier, Lev 4 2009 Totally positive completions for monotonically labeled block clique graphs. Zbl 1171.05360 Johnson, Charles R.; Negron, Cris 3 2009 Matrices totally positive relative to a tree. Zbl 1171.15021 Johnson, Charles R.; Costas-Santos, Roberto S.; Tadchiev, Boris 1 2009 Variation in Jordan structure under congruence: the nonsingular case. Zbl 1171.15009 Furtado, Susana; Johnson, Charles R. 1 2009 On the minimum rank among positive semidefinite matrices with a given graph. Zbl 1226.05151 Booth, Matthew; Hackney, Philip; Harris, Benjamin; Johnson, Charles R.; Lay, Margaret; Mitchell, Lon H.; Narayan, Sivaram K.; Pascoe, Amanda; Steinmetz, Kelly; Sutton, Brian D.; Wang, Wendy 33 2008 Constructing copositive matrices from interior matrices. Zbl 1143.15023 Johnson, Charles R.; Reams, Robert 12 2008 The structure of matrices with a maximum multiplicity eigenvalue. Zbl 1143.15005 Johnson, Charles R.; Leal Duarte, António; Saiago, Carlos M. 9 2008 ...and 292 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 12,426 Authors 280 Johnson, Charles Royal 109 Li, Chi-Kwong 80 Ikramov, Saidkhakim Dododshanovich 75 van den Driessche, Pauline 50 Fallat, Shaun M. 47 Huang, Ting-Zhu 47 Olesky, D. Dale 44 Peña, Juan Manuel 40 Kirkland, Stephen J. 40 Tsatsomeros, Michael J. 38 Horn, Roger Alan 35 Cao, Jinde 35 Spitkovsky, Ilya Matvey 34 Hogben, Leslie 33 Kittaneh, Fuad 33 Soto, Ricardo Lorenzo 31 Wei, Yimin 30 Liu, Jianzhou 29 Rodman, Leiba X. 28 Furtado, Susana 28 Loewy, Raphael 28 Neumann, Michael 27 Gau, Hwa-Long 27 Psarrakos, Panayiotis J. 27 Shader, Bryan L. 26 Hall, Frank J. 26 Li, Zhongshan 26 Sergeichuk, Vladimir Vasil’evich 26 Šmigoc, Helena 26 Tam, Tin-Yau 26 Xu, Daoyi 26 Zhang, Fuzhen 25 Chen, Guanrong 25 da Fonseca, Carlos Martins 25 Rojo, Oscar L. 25 Wu, Peiyuan 24 Bebiano, Natália Isabel Quadros 24 Dopico, Froilán M. 23 Barrett, Wayne W. 23 Chien, Mao-Ting 23 Mcdonald, Judith Joanne 22 Bapat, Ravindra Bhalchandra 22 Li, Wen 22 Lu, Jianquan 22 Marijuán, Carlos 22 Merino, Dennis I. 22 Tian, Yongge 21 Benzi, Michele 21 Berman, Abraham S. 21 Elsner, Ludwig F. 21 Nakazato, Hiroshi 21 Narayan, Sivaram K. 21 Pisonero, Miriam 20 Gao, Yubin 20 Nikiforov, Vladimir S. 20 Paras, Agnes T. 20 Pirzada, Shariefuddin 20 Sze, Nung-Sing 19 Ganie, Hilal Ahmad 19 Hershkowitz, Daniel 19 Mehrmann, Volker 19 Poon, Yiu-Tung 19 Reichel, Lothar 19 Tsing, Nam-Kiu 19 Wolkowicz, Henry 18 Cheng, Cheman 18 De La Cruz, Ralph John Lamadrid 18 Higham, Nicholas J. 18 Lewkowicz, Izchak 18 Li, Rencang 18 Merikoski, Jorma Kaarlo 18 Smith, Ronald Lee 18 Uhlig, Frank 17 de Terán, Fernando 17 Fan, Yizheng 17 Laffey, Thomas J. 17 Lin, Minghua 17 Paparella, Pietro 17 Shorten, Robert N. 17 Simoncini, Valeria 17 Sivakumar, Koratti Chengalrayan 17 Tam, Bit-Shun 17 Vander Meulen, Kevin N. 16 Bhatia, Rajendra 16 da Providência Santarém e Costa, João 16 Das, Kinkar Chandra 16 Drury, Stephen William 16 Garcia, Stephan Ramon 16 Kim, Sejong 16 Li, Hanyu 16 Lim, Yongdo 16 Pérez, Teresa E. 16 Rather, Bilal Ahmad 16 Saiago, Carlos M. 16 Urbano, Ana María 16 Wu, Aiguo 15 Benner, Peter 15 Du, Zhibin 15 Friedland, Shmuel 15 Gowda, Muddappa Seetharama ...and 12,326 more Authors all top 5 Cited in 850 Serials 2,211 Linear Algebra and its Applications 438 Linear and Multilinear Algebra 305 Automatica 226 Applied Mathematics and Computation 170 Journal of Computational and Applied Mathematics 136 Journal of Mathematical Analysis and Applications 125 SIAM Journal on Matrix Analysis and Applications 116 Journal of the Franklin Institute 112 Systems & Control Letters 97 ELA. 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Series A: Theory and Methods 22 Physica D 22 Mathematical and Computer Modelling 21 Mathematical Notes 21 Journal of Algebra 21 Doklady Mathematics 21 Chaos 21 Journal of Systems Science and Complexity 20 Rocky Mountain Journal of Mathematics 20 Calcolo 20 Signal Processing 20 Computational Statistics and Data Analysis 20 Optimization Letters 20 Asian Journal of Control 19 International Journal of Systems Science 19 The Annals of Probability 19 Journal of Mathematical Economics ...and 750 more Serials all top 5 Cited in 62 Fields 4,455 Linear and multilinear algebra; matrix theory (15-XX) 1,829 Numerical analysis (65-XX) 1,433 Combinatorics (05-XX) 1,363 Systems theory; control (93-XX) 827 Operations research, mathematical programming (90-XX) 776 Operator theory (47-XX) 679 Statistics (62-XX) 671 Probability theory and stochastic processes (60-XX) 556 Computer science (68-XX) 510 Ordinary differential equations (34-XX) 367 Biology and other natural sciences (92-XX) 361 Quantum theory (81-XX) 353 Partial differential equations (35-XX) 324 Information and communication theory, circuits (94-XX) 311 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 264 Dynamical systems and ergodic theory (37-XX) 206 Number theory (11-XX) 203 Functional analysis (46-XX) 202 Calculus of variations and optimal control; optimization (49-XX) 200 Harmonic analysis on Euclidean spaces (42-XX) 159 Real functions (26-XX) 145 Statistical mechanics, structure of matter (82-XX) 129 Functions of a complex variable (30-XX) 113 Special functions (33-XX) 113 Fluid mechanics (76-XX) 112 Difference and functional equations (39-XX) 107 Convex and discrete geometry (52-XX) 91 Group theory and generalizations (20-XX) 91 Approximations and expansions (41-XX) 90 Mechanics of deformable solids (74-XX) 87 Differential geometry (53-XX) 86 Algebraic geometry (14-XX) 72 Mechanics of particles and systems (70-XX) 70 Associative rings and algebras (16-XX) 59 Commutative algebra (13-XX) 54 Geometry (51-XX) 53 Topological groups, Lie groups (22-XX) 52 Nonassociative rings and algebras (17-XX) 52 Several complex variables and analytic spaces (32-XX) 50 Global analysis, analysis on manifolds (58-XX) 49 Field theory and polynomials (12-XX) 43 Integral transforms, operational calculus (44-XX) 40 Abstract harmonic analysis (43-XX) 37 Measure and integration (28-XX) 35 Integral equations (45-XX) 34 Optics, electromagnetic theory (78-XX) 29 Order, lattices, ordered algebraic structures (06-XX) 26 Manifolds and cell complexes (57-XX) 24 Relativity and gravitational theory (83-XX) 23 Geophysics (86-XX) 20 General topology (54-XX) 19 Potential theory (31-XX) 17 Mathematical logic and foundations (03-XX) 16 Classical thermodynamics, heat transfer (80-XX) 13 General and overarching topics; collections (00-XX) 9 Category theory; homological algebra (18-XX) 8 Algebraic topology (55-XX) 8 Mathematics education (97-XX) 7 Sequences, series, summability (40-XX) 6 History and biography (01-XX) 3 General algebraic systems (08-XX) 2 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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