Edit Profile (opens in new tab) Johnson, Charles Royal Compute Distance To: Compute Author ID: johnson.charles-royal Published as: Johnson, Charles R.; Johnson, C. R.; Johnson, Charles; Johnson, Ch. R.; 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: 469 Publications since 1970, including 10 Books 5 Contributions as Editor · 1 Further Contribution Co-Authors: 241 Co-Authors with 403 Joint Publications 4,075 Co-Co-Authors all top 5 Co-Authors 52 single-authored 21 Olesky, D. Dale 20 van den Driessche, Pauline 19 Saiago, Carlos M. 18 Fallat, Shaun M. 17 Furtado, Susana 16 Smith, Ronald L. 15 Leal-Duarte, António 13 Barrett, Wayne W. 12 Marijuán, Carlos 12 Pisonero, Miriam 11 Lundquist, Michael E. 10 Drew, John H. 10 Spitkovsky, Ilya Matvey 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 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 Wakhare, Tanay V. 2 Barnett, Stephen 2 Booth, Matthew 2 Cinzori, Isaac 2 Costas-Santos, Roberto S. 2 DeAlba, Luz Maria 2 Faulk, Mitchell 2 Fiedler, Miroslav 2 Gannon, Tom 2 Gelonch, José 2 Hackney, Philip 2 Hall, Frank J. 2 Harris, Benjamin 2 Hogben, Leslie 2 Jankowski, Eric 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 2 Robinson, Herbert A. 2 Shalom, Tamir 2 Sher, David A. 2 Šmigoc, Helena ...and 169 more Co-Authors all top 5 Serials 172 Linear Algebra and its Applications 90 Linear and Multilinear Algebra 25 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 7 SIAM Journal on Algebraic and Discrete Methods 7 Special Matrices 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 428 Linear and multilinear algebra; matrix theory (15-XX) 133 Combinatorics (05-XX) 35 Numerical analysis (65-XX) 20 Systems theory; control (93-XX) 19 Operator theory (47-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Group theory and generalizations (20-XX) 6 Operations research, mathematical programming (90-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) 5 Computer science (68-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 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 Harmonic analysis on Euclidean spaces (42-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 382 Publications have been cited 11,781 times in 9,412 Documents Cited by ▼ Year ▼ Matrix analysis. Zbl 0576.15001Horn, Roger A.; Johnson, Charles R. 3,899 1985 Topics in matrix analysis. Zbl 0729.15001Horn, Roger A.; Johnson, Charles R. 2,060 1991 Matrix analysis. 2nd ed. Zbl 1267.15001Horn, Roger A.; Johnson, Charles R. 1,049 2013 Matrix analysis. Reprinted with corrections. Zbl 0704.15002Horn, Roger A.; Johnson, Charles R. 1,009 1990 Topics in matrix analysis. 1st paperback ed. with corrections. 1st pbk with corr. Zbl 0801.15001Horn, Roger A.; Johnson, Charles R. 368 1994 Positive definite completions of partial Hermitian matrices. Zbl 0547.15011Grone, Robert; Johnson, Charles R.; Marques de Sá, Eduardo; Wolkowicz, Henry 169 1984 Totally nonnegative matrices. Zbl 1390.15001Fallat, Shaun M.; Johnson, Charles R. 119 2011 Row stochastic matrices similar to doubly stochastic matrices. Zbl 0455.15019Johnson, Charles R. 87 1981 Inverse M-matrices. Zbl 0488.15011Johnson, Charles R. 82 1982 The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree. Zbl 0929.15005Johnson, C. R.; Duarte, António Leal 71 1999 The Parter–Wiener theorem: Refinement and generalization. Zbl 1067.15003Johnson, Charles R.; Duarte, António Leal; Saiago, Carlos M. 69 2003 Normal matrices. Zbl 0613.15021Grone, Robert; Johnson, Charles R.; Marques de Sá, Eduardo; Wolkowicz, Henry 62 1987 Numerical determination of the field of values of a general complex matrix. Zbl 0389.65018Johnson, Charles R. 53 1978 Spectrally arbitrary patterns. Zbl 0957.15012Drew, J. H.; Johnson, C. R.; Olesky, D. D.; van den Driessche, P. 51 2000 Hermitian matrices, eigenvalue multiplicities, and eigenvector components. Zbl 1083.15015Johnson, Charles R.; Sutton, Brian D. 42 2004 The real and the symmetric nonnegative inverse eigenvalue problems are different. Zbl 0861.15007Johnson, Charles R.; Laffey, Thomas J.; Loewy, Raphael 41 1996 The Perron root of a weighted geometric mean of nonnegative matrices. Zbl 0684.15007Elsner, L.; Johnson, Charles R.; Dias da Silva, J. A. 40 1988 Completely positive matrices associated with \(M\)-matrices. Zbl 0815.15019Drew, John H.; Johnson, Charles R.; Loewy, Raphael 39 1994 On the minimum number of distinct eigenvalues for a symmetric matrix whose graph is a given tree. Zbl 1002.15010Leal-Duarte, António; Johnson, Charles R. 39 2002 A Gershgorin-type lower bound for the smallest singular value. Zbl 0723.15013Johnson, Charles R. 38 1989 A note on cospectral graphs. Zbl 0431.05021Johnson, Charles R.; Newman, Morris 37 1980 Lower bounds for the spread of a matrix. Zbl 0578.15013Johnson, Charles R.; Kumar, Ravinder; Wolkowicz, Henry 36 1985 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 1035.15010Johnson, Charles R.; Leal Duarte, António; Saiago, Carlos M. 33 2003 The range of \(A^{-1} A^*\) in GL(n,C). Zbl 0292.15007DePrima, C. R.; Johnson, C. R. 32 1974 On the possible multiplicities of the eigenvalues of a Hermitian matrix whose graph is a tree. Zbl 1001.15004Johnson, Charles R.; Leal Duarte, António 31 2002 On the minimum rank among positive semidefinite matrices with a given graph. Zbl 1226.05151Booth, 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 31 2008 The singular values of a Hadamard product: a basic inequality. Zbl 0633.15011Ando, T.; Horn, Roger A.; Johnson, Charles R. 29 1987 Inertia possibilities for completions of partial Hermitian matrices. Zbl 0548.15020Johnson, Charles R.; Rodman, Leiba 28 1984 Determinantal formulae for matrix completions associated with chordal graphs. Zbl 0681.15003Barrett, Wayne W.; Johnson, Charles R.; Lundquist, Michael 28 1989 Further lower bounds for the smallest singular value. Zbl 0891.15013Johnson, Charles R.; Szulc, Tomasz 27 1998 Normality and the numerical range. Zbl 0337.15019Johnson, Charles R. 26 1976 Convex sets of nonsingular and \(P\)-matrices. Zbl 0824.15021Johnson, Charles R.; Tsatsomeros, Michael J. 26 1995 The completion problem for \(M\)-matrices and inverse \(M\)-matrices. Zbl 0979.15009Johnson, 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 1022.15030Johnson, Charles R.; Duarte, António Leal; Saiago, Carlos M.; Sutton, Brian D.; Witt, Andrew J. 25 2003 The real positive definite completion problem for a simple cycle. Zbl 0786.15027Barrett, Wayne; Johnson, Charles R.; Tarazaga, Pablo 25 1993 Operator theory, analytic functions, matrices, and electrical engineering. Zbl 0639.47001Helton, J. William 25 1987 The Euclidean distance matrix completion problem. Zbl 0823.15012Bakonyi, Mihály; Johnson, Charles R. 24 1995 Sign patterns that require real, nonreal or pure imaginary eigenvalues. Zbl 0764.05015Eschenbach, Carolyn A.; Johnson, Charles R. 23 1991 On matrices with Perron–Frobenius properties and some negative entries. Zbl 1078.15018Johnson, Charles R.; Tarazaga, Pablo 23 2004 Connections between the real positive semidefinite and distance matrix completion problems. Zbl 0827.15032Johnson, Charles R.; Tarazaga, Pablo 22 1995 The real positive definite completion problem: Cycle completability. Zbl 0857.05068Barrett, Wayne W.; Johnson, Charles R.; Loewy, Raphael 22 1996 Positive definite matrices. Zbl 0261.15012Johnson, C. R. 22 1970 A generalization of Sylvester’s law of inertia. Zbl 0993.15011Johnson, Charles R.; Furtado, Susana 22 2001 Sub-direct sums and positivity classes of matrices. Zbl 0973.15013Fallat, 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 0597.15016Fiedler, Miroslav; Johnson, Charles R.; Markham, Thomas L.; Neumann, Michael 21 1985 Sign patterns of inverse-positive matrices. Zbl 0404.15007Johnson, Charles R.; Leighton, Frank Thomson; Robinson, Herbert A. 21 1979 Spanning-tree extensions of the Hadamard-Fischer inequalities. Zbl 0619.05021Johnson, Charles R.; Barrett, Wayne W. 21 1985 Linear maps on Hermitian matrices: The stabilizer of an inertia class. II. Zbl 0593.15021Johnson, Charles R.; Pierce, Stephen 20 1986 Semipositivity of matrices. Zbl 0815.15018Johnson, Charles R.; Kerr, M. Kathleen; Stanford, David P. 19 1994 On the minimum semidefinite rank of a simple graph. Zbl 1223.05170Booth, 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 Hadamard and conventional submultiplicativity for unitarily invariant norms on matrices. Zbl 0605.15017Horn, Roger A.; Johnson, Charles R. 18 1987 Mathematical aspects of the relative gain array \((A\circ A^{-T})\). Zbl 0607.15013Johnson, Charles R.; Shapiro, Helene M. 18 1986 Completion of partial matrices to contractions. Zbl 0626.47015Johnson, Charles R.; Rodman, Leiba 18 1986 Determinantal formulae for matrices with sparse inverses. Zbl 0523.15008Barrett, Wayne W.; Johnson, Charles R. 17 1984 The combinatorially symmetric \(P\)-matrix completion problem. Zbl 0889.15007Johnson, Charles R.; Kroschel, Brenda K. 17 1996 A semi-definite Lyapunov theorem and the characterization of tridiagonal D-stable matrices. Zbl 0541.15008Carlson, David; Datta, B. N.; Johnson, Charles R. 17 1982 The potentially stable tree sign patterns for dimensions less than five. Zbl 0723.05047Johnson, Charles R.; Summers, Tracy A. 16 1989 Some sign patterns that preclude matrix stability. Zbl 0676.15004Jeffries, Clark; Johnson, Charles R. 16 1988 Nested sequences of principal minors and potential stability. Zbl 0880.15025Johnson, Charles R.; Maybee, John S.; Olesky, D. D.; van den Driessche, P. 16 1997 Monotonicity properties of norms. Zbl 0717.15015Johnson, Charles R.; Nylen, Peter 16 1991 The graphs for which the maximum multiplicity of an eigenvalue is two. Zbl 1225.05167Johnson, Charles R.; Loewy, Raphael; Smith, Paul Anthony 16 2009 Second, third, and fourth order D-stability. Zbl 0283.15005Johnson, Charles R. 16 1974 Uniqueness of matrix square roots and an application. Zbl 0976.15009Johnson, Charles R.; Okubo, Kazuyoshi; Reams, Robert 16 2001 On the reduction of pairs of Hermitian or symmetric matrices to diagonal form by congruence. Zbl 0593.15005Yoo Pyo Hong; Horn, Roger A.; Johnson, Charles R. 15 1986 Perron spectratopes and the real nonnegative inverse eigenvalue problem. Zbl 1329.15028Johnson, Charles R.; Paparella, Pietro 15 2016 Sign patterns that require repeated eigenvalues. Zbl 0795.15008Eschenbach, Carolyn A.; Johnson, Charles R. 15 1993 Eigenvalues of words in two positive definite letters. Zbl 1007.68139Johnson, Charles R.; Hillar, Christopher J. 15 2002 Total positivity of sums, Hadamard products and Hadamard powers: results and counterexamples. Zbl 1359.15027Fallat, Shaun; Johnson, Charles R.; Sokal, Alan D. 15 2017 Eigenvalues, multiplicities and graphs. Zbl 1433.05002Johnson, Charles R.; Saiago, Carlos M. 14 2018 Sign patterns of inverse nonnegative matrices. Zbl 0519.15008Johnson, Charles R. 14 1983 Spectral theory of copositive matrices. Zbl 1064.15007Johnson, Charles R.; Reams, Robert 14 2005 Inverse \(M\)-matrices. II. Zbl 1218.15015Johnson, Charles R.; Smith, Ronald L. 14 2011 Estimation of the maximum multiplicity of an eigenvalue in terms of the vertex degrees of the graph of a matrix. Zbl 0999.15005Johnson, Charles R.; Saiago, Carlos M. 13 2002 Convex sets of Hermitian matrices with constant inertia. Zbl 0577.15007Johnson, Charles R.; Rodman, Leiba 13 1985 Matrices with chordal inverse zero-patterns. Zbl 0787.15007Johnson, Charles R.; Lundquist, Michael 13 1993 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 0658.15029Johnson, Charles R.; Laffey, Thomas; Li, Chi-Kwong 13 1988 A combinatorial converse to the Perron-Frobenius theorem. Zbl 0739.15004Eschenbach, Carolyn A.; Johnson, Charles R. 12 1990 Eigenvalue inequalities for principal submatrices. Zbl 0458.15013Johnson, Charles R.; Robinson, Herbert A. 12 1981 Spectral variation under congruence. Zbl 0998.15013Furtado, Susana; Johnson, Charles R. 12 2001 The relationship between \(AB\) and \(BA\). Zbl 0865.15010Johnson, Charles R.; Schreiner, Erik A. 12 1996 Spectra of matrices with P-matrix powers. Zbl 0612.15013Hershkowitz, Daniel; Johnson, Charles R. 11 1986 Ordered multiplicity lists for eigenvalues of symmetric matrices whose graph is a linear tree. Zbl 1298.05068Johnson, Charles R.; Li, Andrew A.; Walker, Andrew J. 11 2014 Inverse spectral problems for collections of leading principal submatrices of tridiagonal matrices. Zbl 1325.15032Higgins, Vijay; Johnson, Charles 11 2016 The no long odd cycle theorem for completely positive matrices. Zbl 0838.15011Drew, John H.; Johnson, Charles R. 11 1996 Hadamard powers and totally positive matrices. Zbl 1123.15014Fallat, Shaun M.; Johnson, Charles R. 11 2007 A simple estimate of the condition number of a linear system. Zbl 1291.15022Guggenheimer, Heinrich W.; Edelman, Alan S.; Johnson, Charles R. 11 1995 Some outstanding problems in the theory of matrices. Zbl 0494.15002Johnson, Charles R. 11 1982 On the effect of the perturbation of a nonnegative matrix on its Perron eigenvector. Zbl 0501.15010Elsner, L.; Johnson, C. R.; Neumann, M. 11 1982 Constructing copositive matrices from interior matrices. Zbl 1143.15023Johnson, Charles R.; Reams, Robert 11 2008 The general totally positive matrix completion problem with few unspecified entries. Zbl 0941.15009Fallat, Shaun M.; Johnson, Charles R.; Smith, Ronald L. 11 2000 An inclusion region for the field of values of a doubly stochastic matrix based on its graph. Zbl 0384.15006Johnson, Charles R. 10 1978 Notes on inverse M-matrices. Zbl 0618.15012Fiedler, M.; Johnson, Charles R.; Markham, T. L. 10 1987 Completing a block diagonal matrix with a partially prescribed inverse. Zbl 0831.15010Barrett, 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 1112.15002Dopico, Froilán M.; Johnson, Charles R. 10 2006 The spectral radius of a product of nonnegative matrices. Zbl 0712.15013Johnson, Charles R.; Bru, Rafael 10 1990 \(P\)-matrix completions under weak symmetry assumptions. Zbl 0963.15021Fallat, Shaun M.; Johnson, Charles R.; Torregrosa, Juan R.; Urbano, Ana M. 10 2000 The completely positive and doubly nonnegative completion problems. Zbl 0911.15012Drew, John H.; Johnson, Charles R. 10 1998 Olga, matrix theory and the Taussky unification problem. Zbl 0946.15001Johnson, Charles R.; Fallat, Shaun 10 1998 Minimum rank completions. Zbl 0775.15001Johnson, Charles R.; Whitney, Glen T. 9 1991 Linear maps on Hermitian matrices: the stabilizer of an inertia class. Zbl 0577.15008Johnson, Charles R.; Pierce, Stephen 9 1985 The inverse eigenvalue problem for linear trees. Zbl 1483.15008Johnson, Charles R.; Wakhare, Tanay 2 2022 Corrigendum to: “Total positivity of sums, Hadamard products and Hadamard powers: results and counterexamples”. Zbl 1475.15041Fallat, Shaun; Johnson, Charles R.; Sokal, Alan D. 1 2021 Linear preservers of copositive matrices. Zbl 1472.15040Furtado, Susana; Johnson, C. R.; Zhang, Yulin 1 2021 Nonnegative realizability with Jordan structure. Zbl 1475.15012Johnson, Charles R.; Julio, Ana I.; Soto, Ricardo L. 7 2020 Matrix positivity. Zbl 1469.15002Johnson, Charles R.; Smith, Ronald L.; Tsatsomeros, Michael J. 2 2020 The proportion of trees that are linear. Zbl 1445.05051Wakhare, Tanay; Wityk, Eric; Johnson, Charles R. 2 2020 Spectra of convex hulls of matrix groups. Zbl 1437.15013Jankowski, Eric; Johnson, Charles R.; Lim, Derek 1 2020 Branch duplication in trees: uniqueness of sedes and enumeration of sedes. Zbl 1451.05117Johnson, Charles R.; Lettie, Jacob; Mack-Crane, Sander; Szabelska-Beręsewicz, Alicja 1 2020 Target control and source estimation metrics for dynamical networks. Zbl 1415.93055Vosughi, 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 1403.15007Johnson, Charles R.; Saiago, Carlos M.; Toyonaga, Kenji 1 2019 Eigenvalues, multiplicities and graphs. Zbl 1433.05002Johnson, Charles R.; Saiago, Carlos M. 14 2018 Universal realizability of spectra with two positive eigenvalues. Zbl 1391.15037Collao, Macarena; Johnson, Charles R.; Soto, Ricardo L. 9 2018 The NIEP. Zbl 1427.15001Johnson, Charles R.; Marijuán, Carlos; Paparella, Pietro; Pisonero, Miriam 8 2018 Geometric Parter-Wiener, etc. theory. Zbl 1376.15030Johnson, 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 1406.15014Johnson, Charles R.; Saiago, Carlos M.; Toyonaga, Kenji 3 2018 The minimum number of eigenvalues of multiplicity one in a diagonalizable matrix, over a field, whose graph is a tree. Zbl 1403.15006Johnson, Charles R.; Leal-Duarte, António; Saiago, Carlos M. 2 2018 Multiplicity lists for symmetric matrices whose graphs have few missing edges. Zbl 1380.15009Johnson, Charles R.; Zhang, Yulin 1 2018 Total positivity of sums, Hadamard products and Hadamard powers: results and counterexamples. Zbl 1359.15027Fallat, Shaun; Johnson, Charles R.; Sokal, Alan D. 15 2017 A matricial view of the Karpelevič theorem. Zbl 1359.15029Johnson, Charles R.; Paparella, Pietro 8 2017 Ruling out certain 5-spectra for the symmetric nonnegative inverse eigenvalue problem. Zbl 1353.15008Johnson, C. R.; Marijuán, C.; Pisonero, M. 7 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 1360.15014Toyonaga, Kenji; Johnson, Charles R. 6 2017 On the solvability of derived matrix problems, including completions and duals. Zbl 1349.14180Johnson, Charles R.; Leal-Duarte, António 3 2017 Symmetric nonnegative realizability via partitioned majorization. Zbl 1375.15015Johnson, 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 1372.05172Johnson, Charles R.; Leal-Duarte, António; McMichael, Paul R. 2 2017 Row cones, Perron similarities, and nonnegative spectra. Zbl 1387.15010Johnson, Charles R.; Paparella, Pietro 1 2017 Perron spectratopes and the real nonnegative inverse eigenvalue problem. Zbl 1329.15028Johnson, Charles R.; Paparella, Pietro 15 2016 Inverse spectral problems for collections of leading principal submatrices of tridiagonal matrices. Zbl 1325.15032Higgins, Vijay; Johnson, Charles 11 2016 Diameter minimal trees. Zbl 1338.05160Johnson, Charles R.; Saiago, Carlos M. 8 2016 Ranks of permutative matrices. Zbl 1338.05030Hu, Xiaonan; Johnson, Charles R.; Davis, Caroline E.; Zhang, Yimeng 5 2016 Linear preservers of semi-positive matrices. Zbl 1388.15026Dorsey, Jonathan; Gannon, Tom; Jacobson, Nathaniel; Johnson, Charles R.; Turnansky, Morrison 5 2016 Questions, conjectures, and data about multiplicity lists for trees. Zbl 1350.05092Buckley, Shannon P.; Corliss, Joseph G.; Johnson, Charles R.; Araúz Lombardía, Cristina; Saiago, Carlos M. 4 2016 New results about semi-positive matrices. Zbl 1413.15021Dorsey, Jonathan; Gannon, Tom; Johnson, Charles R.; Turnansky, Morrison 4 2016 Normal matrices subordinate to a tree and flat portions of the field of values. Zbl 1343.05093Johnson, Charles R.; Spitkovsky, Ilya M.; Stevanovic, Mirjana; Turnansky, Morrison 2 2016 Sufficient conditions to be exceptional. Zbl 1338.15025Johnson, Charles R.; Reams, Robert B. 1 2016 The number of interlacing equalities resulting from removal of a vertex from a tree. Zbl 1320.15005Farber, Miriam; Johnson, Charles; Zhang, Leon 1 2015 The structure of Schur complements in hollow, symmetric nonnegative matrices with two nonpositive eigenvalues. Zbl 1369.15021Farber, Miriam; Johnson, Charles R. 1 2015 Ordered multiplicity lists for eigenvalues of symmetric matrices whose graph is a linear tree. Zbl 1298.05068Johnson, Charles R.; Li, Andrew A.; Walker, Andrew J. 11 2014 Undirected graphs of Hermitian matrices that admit only two distinct eigenvalues. Zbl 1295.05141Chen, Zhao; Grimm, Matthew; McMichael, Paul; Johnson, Charles R. 6 2014 Equal entries in totally positive matrices. Zbl 1291.15077Farber, Miriam; Faulk, Mitchell; Johnson, Charles R.; Marzion, Evan 3 2014 Complete solution to the \(TP_{2}\) completion problem. Zbl 1307.15039Johnson, C. R.; Nasserasr, S. 2 2014 On the similarity classes among products of \(m\) nonsingular matrices in various orders. Zbl 1302.15015Furtado, Susana; Johnson, Charles R. 1 2014 Submatrix monotonicity of the Perron root. II. Zbl 1294.15009Furtado, Susana; Johnson, C. R.; Marijuán, C.; Pisonero, M. 1 2014 The sock matching problem. Zbl 1297.05019Gilliand, Sarah; Johnson, Charles; Rush, Sam; Wood, Deborah 1 2014 The Koteljanskii inequalities for mixed matrices. Zbl 1303.15023Johnson, Charles R.; Narayan, Sivaram K. 1 2014 TP\(_k\) completions of partial matrices with one unspecified entry. Zbl 1327.15059Akin, V.; Johnson, C. R.; Nasserasr, S. 1 2014 Exact results for perturbation to total positivity and to total nonsingularity. Zbl 1327.15067Farber, Miriam; Faulk, Mitchell; Johnson, Charles R.; Marzion, Evan 1 2014 Matrix analysis. 2nd ed. Zbl 1267.15001Horn, Roger A.; Johnson, Charles R. 1,049 2013 The implicit construction of multiplicity lists for classes of trees and verification of some conjectures. Zbl 1258.05070Johnson, Charles R.; Nuckols, Jonathan; Spicer, Calum 7 2013 Continuity properties of vectors realizing points in the classical field of values. Zbl 1290.15012Corey, Dan; Johnson, Charles R.; Kirk, Ryan; Lins, Brian; Spitkovsky, Ilya 6 2013 Nonpositive eigenvalues of hollow, symmetric, nonnegative matrices. Zbl 1282.15016Charles, Zachary B.; Farber, Miriam; Johnson, Charles R.; Kennedy-Shaffer, Lee 4 2013 Asymmetric TP and TN completion problems. Zbl 1261.15035Johnson, Charles R.; Wei, Zhen 3 2013 The product field of values. Zbl 1272.15015Corey, 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 1279.05046Charles, 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 1295.05143Farber, Miriam; Johnson, Charles R.; Zhen, Wei 1 2013 Inequalities for linear combinations of monomials in p-Newton sequences. Zbl 1305.15022Johnson, 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 1283.15107Johnson, Charles R.; Narayan, Sivaram K. 1 2013 The distribution of eigenvalues of doubly cyclic \(Z^+\)-matrices. Zbl 1283.15059Johnson, Charles R.; Price, Zachary; Spitkovsky, Ilya M. 1 2013 The change in eigenvalue multiplicity associated with perturbation of a diagonal entry. Zbl 1247.15007Johnson, Charles R.; Leal-Duarte, António; Saiago, Carlos M. 7 2012 Critical exponents: old and new. Zbl 1251.15011Johnson, Charles R.; Walch, Olivia 4 2012 Submatrix monotonicity of the Perron root. Zbl 1255.15040Johnson, C. R.; Marijuán, C.; Pisonero, M. 2 2012 Optimal Gersgorin-style estimation of the singular value. Zbl 1250.65054Johnson, Ch. R.; Pena, J. M.; Szulc, T. 1 2012 Totally positive shapes and \(TP_{k}\)-completable patterns. Zbl 1242.15023Hoff, D.; Johnson, C. R.; Nasserasr, S. 1 2012 Minimizing the least eigenvalue of graphs with fixed order and size. Zbl 1245.05086Johnson, Charles R.; Sawikowska, Aneta 1 2012 Totally nonnegative matrices. Zbl 1390.15001Fallat, Shaun M.; Johnson, Charles R. 119 2011 On the minimum semidefinite rank of a simple graph. Zbl 1223.05170Booth, 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 1218.15015Johnson, Charles R.; Smith, Ronald L. 14 2011 The change in multiplicity of an eigenvalue of a Hermitian matrix associated with the removal of an edge from its graph. Zbl 1225.05168Johnson, Charles R.; McMichael, Paul R. 8 2011 The ratio field of values. Zbl 1209.15024Einstein, Eduard; Johnson, Charles R.; Lins, Brian; Spitkovsky, Ilya 5 2011 The critical exponent for continuous conventional powers of doubly nonnegative matrices. Zbl 1221.15046Johnson, Charles R.; Lins, Brian; Walch, Olivia 4 2011 Equilibrants, semipositive matrices, calculation and scaling. Zbl 1211.15045Johnson, Charles R.; Tong, Zheng 3 2011 Monomial inequalities for Newton coefficients and determinantal inequalities for \(p\)-Newton matrices. Zbl 1250.15025Johnson, 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 1226.05157Johnson, Charles R.; Kroschel, Brenda K. 1 2011 Eigenvalue assignments and the two largest multiplicities in a Hermitian matrix whose graph is a tree. Zbl 1225.05166Johnson, Charles R.; Jordan-Squire, Christopher; Sher, David A. 6 2010 On the possible ranks among matrices with a given pattern. Zbl 1210.15002Johnson, Charles R.; Zhang, Yulin 4 2010 The Jordan form problem for \(C = AB\): the balanced, diagonalizable case. Zbl 1213.15010Johnson, Charles R.; Zhang, YuLin 2 2010 TP\(_2\) = Bruhat. Zbl 1225.05009Johnson, C. R.; Nasserasr, S. 2 2010 Order invariant spectral properties for several matrices. Zbl 1187.15011Furtado, Susana; Johnson, Charles R. 2 2010 Gangster operators and invincibility of positive semidefinite matrices. Zbl 1216.15023Ferguson, Timothy; Johnson, Charles 1 2010 The graphs for which the maximum multiplicity of an eigenvalue is two. Zbl 1225.05167Johnson, Charles R.; Loewy, Raphael; Smith, Paul Anthony 16 2009 Implicit construction of multiple eigenvalues for trees. Zbl 1176.15011Johnson, Charles R.; Sutton, Brian D.; Witt, Andrew J. 7 2009 Scaling of symmetric matrices by positive diagonal congruence. Zbl 1166.15011Johnson, Charles R.; Reams, Robert 6 2009 Matrices and spectra satisfying the Newton inequalities. Zbl 1189.15009Johnson, C. R.; Marijuán, C.; Pisonero, M. 6 2009 Parametrization of the matrix symplectic group and applications. Zbl 1193.15011Dopico, Froilán M.; Johnson, Charles R. 4 2009 General resolution of a convergence question of L. Krukier. Zbl 1224.15044Johnson, Charles; Krukier, Lev 4 2009 Totally positive completions for monotonically labeled block clique graphs. Zbl 1171.05360Johnson, Charles R.; Negron, Cris 3 2009 Solution theory for complete bilinear systems of equations. Zbl 1224.15047Johnson, Charles R.; Link, Joshua A. 3 2009 Matrices totally positive relative to a tree. Zbl 1171.15021Johnson, Charles R.; Costas-Santos, Roberto S.; Tadchiev, Boris 1 2009 Variation in Jordan structure under congruence: the nonsingular case. Zbl 1171.15009Furtado, Susana; Johnson, Charles R. 1 2009 On the minimum rank among positive semidefinite matrices with a given graph. Zbl 1226.05151Booth, 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 31 2008 Constructing copositive matrices from interior matrices. Zbl 1143.15023Johnson, Charles R.; Reams, Robert 11 2008 The structure of matrices with a maximum multiplicity eigenvalue. Zbl 1143.15005Johnson, Charles R.; Leal Duarte, António; Saiago, Carlos M. 9 2008 Branch duplication for the construction of multiple eigenvalues in an Hermitian matrix whose graph is a tree. Zbl 1149.15007Johnson, Charles R.; Saiago, Carlos M. 9 2008 The extent to which triangular sub-patterns explain minimum rank. Zbl 1152.05312Johnson, Charles R.; Link, Joshua A. 3 2008 Schur-type stability properties and complex diagonal scaling. Zbl 1155.15005Johnson, Charles R.; Lenker, Terry D.; Narayan, Sivaram K. 2 2008 Adjacent edge conditions for the totally nonnegative completion problem. Zbl 1144.15011Dryden, Emily B.; Johnson, Charles R.; Kroschel, Brenda K. 1 2008 Matrices with orthogonal groups admitting only determinant one. Zbl 1136.15008Coakley, Edward S.; Dopico, Froilán M.; Johnson, Charles R. 1 2008 Hadamard powers and totally positive matrices. Zbl 1123.15014Fallat, Shaun M.; Johnson, Charles R. 11 2007 Unitarily achievable zero patterns and traces of words in \(A\) and \(A\). Zbl 1122.15014Đoković, Dragomir Ž.; Johnson, Charles R. 5 2007 Path product matrices and eventually inverse \(M\)-matrices. Zbl 1141.15020Johnson, Charles R.; Smith, Ronald L. 5 2007 Positive, path product, and inverse \(M\)-matrices. Zbl 1124.15018Johnson, Charles R.; Smith, Ronald L. 3 2007 ...and 282 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 11,279 Authors 275 Johnson, Charles Royal 104 Li, Chi-Kwong 75 Ikramov, Saidkhakim Dododshanovich 73 van den Driessche, Pauline 47 Huang, Ting-Zhu 46 Olesky, D. Dale 45 Fallat, Shaun M. 38 Kirkland, Stephen J. 38 Tsatsomeros, Michael J. 37 Horn, Roger Alan 35 Peña, Juan Manuel 34 Cao, Jinde 33 Spitkovsky, Ilya Matvey 32 Hogben, Leslie 30 Soto, Ricardo Lorenzo 30 Wei, Yimin 29 Rodman, Leiba X. 28 Liu, Jianzhou 28 Neumann, Michael 27 Loewy, Raphael 26 Kittaneh, Fuad 26 Psarrakos, Panayiotis J. 26 Sergeichuk, Vladimir Vasil’evich 26 Shader, Bryan L. 26 Xu, Daoyi 25 Gau, Hwa-Long 25 Hall, Frank J. 25 Li, Zhongshan 25 Zhang, Fuzhen 24 Chen, Guanrong 24 Furtado, Susana 24 Rojo, Oscar L. 24 Šmigoc, Helena 24 Tam, Tin-Yau 24 Wu, Peiyuan 22 Bebiano, Natália Isabel Quadros 22 Li, Wen 22 Lu, Jianquan 22 Mcdonald, Judith Joanne 22 Merino, Dennis I. 22 Tian, Yongge 21 Barrett, Wayne W. 21 Chien, Mao-Ting 21 da Fonseca, Carlos Martins 21 Dopico, Froilán M. 21 Elsner, Ludwig F. 21 Narayan, Sivaram K. 20 Berman, Abraham S. 20 Sze, Nung-Sing 19 Bapat, Ravindra Bhalchandra 19 Benzi, Michele 19 Gao, Yubin 19 Hershkowitz, Daniel 19 Marijuán, Carlos 19 Nakazato, Hiroshi 19 Paras, Agnes T. 19 Tsing, Nam-Kiu 18 Cheng, Cheman 18 De La Cruz, Ralph John Lamadrid 18 Mehrmann, Volker 18 Pisonero, Miriam 18 Poon, Yiu-Tung 18 Smith, Ronald L. 17 Fan, Yizheng 17 Ganie, Hilal Ahmad 17 Higham, Nicholas J. 17 Laffey, Thomas J. 17 Lin, Minghua 17 Paparella, Pietro 17 Reichel, Lothar 17 Shorten, Robert N. 17 Uhlig, Frank 17 Wolkowicz, Henry 16 da Providência Santarém e Costa, João 16 Das, Kinkar Chandra 16 Drury, Stephen William 16 Lewkowicz, Izchak 16 Li, Hanyu 16 Merikoski, Jorma Kaarlo 16 Pérez, Teresa E. 16 Saiago, Carlos M. 16 Simoncini, Valeria 16 Sivakumar, Koratti Chengalrayan 16 Tam, Bit-Shun 16 Urbano, Ana María 16 Wu, Aiguo 15 Bhatia, Rajendra 15 de Terán, Fernando 15 Kolotilina, Lily Yu. 15 Li, Rencang 15 Mehl, Christian 15 Shao, Yanling 15 Tarazaga, Pablo A. 15 Vander Meulen, Kevin N. 14 Benner, Peter 14 Eschenbach, Carolyn A. 14 Garcia, Stephan Ramon 14 Huhtanen, Marko 14 Jiang, Haijun 14 Kim, Sejong ...and 11,179 more Authors all top 5 Cited in 785 Serials 2,149 Linear Algebra and its Applications 388 Linear and Multilinear Algebra 286 Automatica 218 Applied Mathematics and Computation 163 Journal of Computational and Applied Mathematics 132 Journal of Mathematical Analysis and Applications 113 Journal of the Franklin Institute 112 SIAM Journal on Matrix Analysis and Applications 105 Systems & Control Letters 92 International Journal of Control 78 ELA. The Electronic Journal of Linear Algebra 77 Computers & Mathematics with Applications 68 Proceedings of the American Mathematical Society 67 Discrete Mathematics 67 Journal of Mathematical Physics 67 Mathematical Programming. Series A. Series B 67 Special Matrices 56 Journal of Optimization Theory and Applications 55 Discrete Applied Mathematics 55 Journal of Mathematical Sciences (New York) 54 Numerical Linear Algebra with Applications 53 The Annals of Statistics 53 Numerical Algorithms 53 Journal of Inequalities and Applications 50 Journal of Computational Physics 49 Journal of Econometrics 48 Journal of Multivariate Analysis 47 Applied Numerical Mathematics 44 International Journal of Robust and Nonlinear Control 43 BIT 43 Applied Mathematics Letters 42 Numerische Mathematik 42 SIAM Journal on Scientific Computing 40 Mathematics of Computation 37 Czechoslovak Mathematical Journal 37 Statistics & Probability Letters 37 International Journal of Systems Science. 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Theory, Methods & Applications. Series A: Theory and Methods 22 Mathematical and Computer Modelling 22 Journal of Machine Learning Research (JMLR) 21 Journal of Mathematical Biology 21 Physica D 21 Doklady Mathematics 21 Chaos 21 Journal of Systems Science and Complexity 20 Mathematical Notes 20 Advances in Mathematics 20 Journal of Approximation Theory 20 Signal Processing 20 Computational Statistics and Data Analysis 20 Operators and Matrices 19 International Journal of Systems Science 19 The Annals of Probability 19 Journal of Algebra 19 Computational and Applied Mathematics 18 Rocky Mountain Journal of Mathematics 18 Fuzzy Sets and Systems 18 Journal of Mathematical Economics 18 SIAM Journal on Algebraic and Discrete Methods 18 Acta Mathematicae Applicatae Sinica. English Series 18 Communications in Statistics. Theory and Methods 18 The Electronic Journal of Combinatorics 18 Differential Equations 18 Random Matrices: Theory and Applications 17 Mathematical Biosciences ...and 685 more Serials all top 5 Cited in 62 Fields 4,111 Linear and multilinear algebra; matrix theory (15-XX) 1,698 Numerical analysis (65-XX) 1,280 Combinatorics (05-XX) 1,246 Systems theory; control (93-XX) 744 Operations research, mathematical programming (90-XX) 667 Operator theory (47-XX) 616 Probability theory and stochastic processes (60-XX) 607 Statistics (62-XX) 515 Computer science (68-XX) 476 Ordinary differential equations (34-XX) 337 Biology and other natural sciences (92-XX) 314 Partial differential equations (35-XX) 303 Information and communication theory, circuits (94-XX) 300 Quantum theory (81-XX) 279 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 234 Dynamical systems and ergodic theory (37-XX) 184 Harmonic analysis on Euclidean spaces (42-XX) 179 Number theory (11-XX) 178 Functional analysis (46-XX) 176 Calculus of variations and optimal control; optimization (49-XX) 131 Statistical mechanics, structure of matter (82-XX) 130 Real functions (26-XX) 112 Functions of a complex variable (30-XX) 107 Difference and functional equations (39-XX) 103 Fluid mechanics (76-XX) 101 Convex and discrete geometry (52-XX) 100 Special functions (33-XX) 84 Mechanics of deformable solids (74-XX) 83 Approximations and expansions (41-XX) 77 Group theory and generalizations (20-XX) 74 Algebraic geometry (14-XX) 71 Differential geometry (53-XX) 68 Mechanics of particles and systems (70-XX) 62 Associative rings and algebras (16-XX) 53 Commutative algebra (13-XX) 52 Geometry (51-XX) 46 Global analysis, analysis on manifolds (58-XX) 45 Several complex variables and analytic spaces (32-XX) 44 Nonassociative rings and algebras (17-XX) 43 Topological groups, Lie groups (22-XX) 42 Field theory and polynomials (12-XX) 39 Integral transforms, operational calculus (44-XX) 38 Abstract harmonic analysis (43-XX) 32 Integral equations (45-XX) 31 Measure and integration (28-XX) 30 Optics, electromagnetic theory (78-XX) 26 Order, lattices, ordered algebraic structures (06-XX) 24 Manifolds and cell complexes (57-XX) 23 Geophysics (86-XX) 17 General topology (54-XX) 17 Relativity and gravitational theory (83-XX) 16 Potential theory (31-XX) 12 Mathematical logic and foundations (03-XX) 12 Classical thermodynamics, heat transfer (80-XX) 10 General and overarching topics; collections (00-XX) 8 Category theory; homological algebra (18-XX) 8 Mathematics education (97-XX) 7 Sequences, series, summability (40-XX) 7 Algebraic topology (55-XX) 5 History and biography (01-XX) 2 General algebraic systems (08-XX) 1 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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