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Johnson, Charles Royal

Author ID: johnson.charles-royal Recent zbMATH articles by "Johnson, Charles Royal"
Published as: Johnson, Charles R.; Johnson, C. R.; Johnson, Charles; Johnson, Ch. R.; Johnson, Charles Royal; Johnson, C.
Homepage: https://www.wm.edu/as/mathematics/faculty-directory/johnson_c.php
External Links: MGP · Wikidata · dblp · GND · IdRef
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Co-Authors

52 single-authored
24 Furtado, Susana
21 Olesky, D. Dale
20 van den Driessche, Pauline
19 Fallat, Shaun M.
19 Saiago, Carlos M.
16 Smith, Ronald Lee
15 Leal-Duarte, António
14 Marijuán, Carlos
14 Pisonero, Miriam
13 Barrett, Wayne W.
12 Spitkovsky, Ilya Matvey
11 Lundquist, Michael E.
10 Drew, John H.
9 Horn, Roger Alan
9 Kroschel, Brenda K.
9 Loewy, Raphael
9 Nylen, Peter M.
9 Toyonaga, Kenji
9 Zhang, Yulin
8 Farber, Miriam
8 Reams, Robert B.
8 Stanford, David P.
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 Ding, Wenxuan
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 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 180 more Co-Authors
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Serials

175 Linear Algebra and its Applications
93 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
4 Involve
3 Positivity
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
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Fields

446 Linear and multilinear algebra; matrix theory (15-XX)
145 Combinatorics (05-XX)
35 Numerical analysis (65-XX)
20 Systems theory; control (93-XX)
19 Operator theory (47-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
12 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

Citations contained in zbMATH Open

405 Publications have been cited 14,185 times in 11,389 Documents Cited by Year
Matrix analysis. Zbl 0576.15001
Horn, Roger A.; Johnson, Charles R.
1985
Topics in matrix analysis. Zbl 0729.15001
Horn, Roger A.; Johnson, Charles R.
1991
Matrix analysis. 2nd ed. Zbl 1267.15001
Horn, Roger A.; Johnson, Charles R.
2013
Matrix analysis. Reprinted with corrections. Zbl 0704.15002
Horn, Roger A.; Johnson, Charles R.
1990
Topics in matrix analysis. 1st paperback ed. with corrections. 1st pbk with corr. Zbl 0801.15001
Horn, Roger A.; Johnson, Charles R.
527
1994
Positive definite completions of partial Hermitian matrices. Zbl 0547.15011
Grone, Robert; Johnson, Charles R.; Marques de Sá, Eduardo; Wolkowicz, Henry
181
1984
Totally nonnegative matrices. Zbl 1390.15001
Fallat, Shaun M.; Johnson, Charles R.
170
2011
Row stochastic matrices similar to doubly stochastic matrices. Zbl 0455.15019
Johnson, Charles R.
94
1981
Inverse M-matrices. Zbl 0488.15011
Johnson, Charles R.
86
1982
The Parter–Wiener theorem: Refinement and generalization. Zbl 1067.15003
Johnson, Charles R.; Duarte, António Leal; Saiago, Carlos M.
79
2003
The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree. Zbl 0929.15005
Johnson, C. R.; Duarte, António Leal
72
1999
Normal matrices. Zbl 0613.15021
Grone, Robert; Johnson, Charles R.; Marques de Sá, Eduardo; Wolkowicz, Henry
66
1987
Numerical determination of the field of values of a general complex matrix. Zbl 0389.65018
Johnson, Charles R.
60
1978
Spectrally arbitrary patterns. Zbl 0957.15012
Drew, J. H.; Johnson, C. R.; Olesky, D. D.; van den Driessche, P.
54
2000
Matrix completion problems: A survey. Zbl 0706.15024
Johnson, Charles R.
52
1990
Hermitian matrices, eigenvalue multiplicities, and eigenvector components. Zbl 1083.15015
Johnson, Charles R.; Sutton, Brian D.
49
2004
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.
46
1989
The Perron root of a weighted geometric mean of nonnegative matrices. Zbl 0684.15007
Elsner, L.; Johnson, Charles R.; Dias da Silva, J. A.
44
1988
A Gershgorin-type lower bound for the smallest singular value. Zbl 0723.15013
Johnson, Charles R.
43
1989
Ranks of completions of partial matrices. Zbl 0676.15001
Cohen, Nir; Johnson, Charles R.; Rodman, Leiba; Woerdeman, Hugo J.
43
1989
The real and the symmetric nonnegative inverse eigenvalue problems are different. Zbl 0861.15007
Johnson, Charles R.; Laffey, Thomas J.; Loewy, Raphael
43
1996
Completely positive matrices associated with \(M\)-matrices. Zbl 0815.15019
Drew, John H.; Johnson, Charles R.; Loewy, Raphael
42
1994
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
A note on cospectral graphs. Zbl 0431.05021
Johnson, Charles R.; Newman, Morris
41
1980
Lower bounds for the spread of a matrix. Zbl 0578.15013
Johnson, Charles R.; Kumar, Ravinder; Wolkowicz, Henry
38
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 1035.15010
Johnson, Charles R.; Leal Duarte, António; Saiago, Carlos M.
38
2003
Operator theory, analytic functions, matrices, and electrical engineering. Zbl 0639.47001
Helton, J. William
34
1987
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
34
2008
The range of \(A^{-1} A^*\) in GL(n,C). Zbl 0292.15007
DePrima, C. R.; Johnson, C. R.
34
1974
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 singular values of a Hadamard product: a basic inequality. Zbl 0633.15011
Ando, T.; Horn, Roger A.; Johnson, Charles R.
33
1987
Further lower bounds for the smallest singular value. Zbl 0891.15013
Johnson, Charles R.; Szulc, Tomasz
30
1998
Convex sets of nonsingular and \(P\)-matrices. Zbl 0824.15021
Johnson, Charles R.; Tsatsomeros, Michael J.
29
1995
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
Sub-direct sums and positivity classes of matrices. Zbl 0973.15013
Fallat, Shaun M.; Johnson, Charles R.
28
1999
The real positive definite completion problem for a simple cycle. Zbl 0786.15027
Barrett, Wayne; Johnson, Charles R.; Tarazaga, Pablo
27
1993
Positive definite matrices. Zbl 0261.15012
Johnson, C. R.
27
1970
The Euclidean distance matrix completion problem. Zbl 0823.15012
Bakonyi, Mihály; Johnson, Charles R.
27
1995
Normality and the numerical range. Zbl 0337.15019
Johnson, Charles R.
26
1976
The completion problem for \(M\)-matrices and inverse \(M\)-matrices. Zbl 0979.15009
Johnson, Charles R.; Smith, Ronald L.
25
1996
On matrices with Perron–Frobenius properties and some negative entries. Zbl 1078.15018
Johnson, Charles R.; Tarazaga, Pablo
25
2004
The real positive definite completion problem: Cycle completability. Zbl 0857.05068
Barrett, Wayne W.; Johnson, Charles R.; Loewy, Raphael
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
Eigenvalues, multiplicities and graphs. Zbl 1433.05002
Johnson, Charles R.; Saiago, Carlos M.
25
2018
Connections between the real positive semidefinite and distance matrix completion problems. Zbl 0827.15032
Johnson, Charles R.; Tarazaga, Pablo
24
1995
Sign patterns that require real, nonreal or pure imaginary eigenvalues. Zbl 0764.05015
Eschenbach, Carolyn A.; Johnson, Charles R.
24
1991
A generalization of Sylvester’s law of inertia. Zbl 0993.15011
Johnson, Charles R.; Furtado, Susana
24
2001
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
Spanning-tree extensions of the Hadamard-Fischer inequalities. Zbl 0619.05021
Johnson, Charles R.; Barrett, Wayne W.
21
1985
Semipositivity of matrices. Zbl 0815.15018
Johnson, Charles R.; Kerr, M. Kathleen; Stanford, David P.
21
1994
The NIEP. Zbl 1427.15001
Johnson, Charles R.; Marijuán, Carlos; Paparella, Pietro; Pisonero, Miriam
21
2018
Sign patterns of inverse-positive matrices. Zbl 0404.15007
Johnson, Charles R.; Leighton, Frank Thomson; Robinson, Herbert A.
21
1979
Mathematical aspects of the relative gain array \((A\circ A^{-T})\). Zbl 0607.15013
Johnson, Charles R.; Shapiro, Helene M.
20
1986
Linear maps on Hermitian matrices: The stabilizer of an inertia class. II. Zbl 0593.15021
Johnson, Charles R.; Pierce, Stephen
20
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.
20
2011
Completion of partial matrices to contractions. Zbl 0626.47015
Johnson, Charles R.; Rodman, Leiba
19
1986
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
The combinatorially symmetric \(P\)-matrix completion problem. Zbl 0889.15007
Johnson, Charles R.; Kroschel, Brenda K.
19
1996
Hadamard and conventional submultiplicativity for unitarily invariant norms on matrices. Zbl 0605.15017
Horn, Roger A.; Johnson, Charles R.
18
1987
Sign patterns that require repeated eigenvalues. Zbl 0795.15008
Eschenbach, Carolyn A.; Johnson, Charles R.
18
1993
Spectral variation under congruence. Zbl 0998.15013
Furtado, Susana; Johnson, Charles R.
18
2001
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
A Hadamard product involving M-matrices. Zbl 0344.15014
Johnson, Charles R.
17
1977
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
Second, third, and fourth order D-stability. Zbl 0283.15005
Johnson, Charles R.
17
1974
Monotonicity properties of norms. Zbl 0717.15015
Johnson, Charles R.; Nylen, Peter
17
1991
Determinantal formulae for matrices with sparse inverses. Zbl 0523.15008
Barrett, Wayne W.; Johnson, Charles R.
17
1984
The potentially stable tree sign patterns for dimensions less than five. Zbl 0723.05047
Johnson, Charles R.; Summers, Tracy A.
16
1989
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.
16
1986
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
Sign patterns of inverse nonnegative matrices. Zbl 0519.15008
Johnson, Charles R.
16
1983
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
Uniqueness of matrix square roots and an application. Zbl 0976.15009
Johnson, Charles R.; Okubo, Kazuyoshi; Reams, Robert
16
2001
Spectral theory of copositive matrices. Zbl 1064.15007
Johnson, Charles R.; Reams, Robert
15
2005
Eigenvalues of words in two positive definite letters. Zbl 1007.68139
Johnson, Charles R.; Hillar, Christopher J.
15
2002
Convex sets of Hermitian matrices with constant inertia. Zbl 0577.15007
Johnson, Charles R.; Rodman, Leiba
14
1985
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
The general totally positive matrix completion problem with few unspecified entries. Zbl 0941.15009
Fallat, Shaun M.; Johnson, Charles R.; Smith, Ronald L.
14
2000
Matrices with chordal inverse zero-patterns. Zbl 0787.15007
Johnson, Charles R.; Lundquist, Michael
13
1993
The relationship between \(AB\) and \(BA\). Zbl 0865.15010
Johnson, Charles R.; Schreiner, Erik A.
13
1996
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
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
Some outstanding problems in the theory of matrices. Zbl 0494.15002
Johnson, Charles R.
12
1982
A simple estimate of the condition number of a linear system. Zbl 1291.15022
Guggenheimer, Heinrich W.; Edelman, Alan S.; Johnson, Charles R.
12
1995
Hadamard products of matrices. Zbl 0281.15013
Johnson, Charles R.
12
1974
Eigenvalue inequalities for principal submatrices. Zbl 0458.15013
Johnson, Charles R.; Robinson, Herbert A.
12
1981
Hadamard powers and totally positive matrices. Zbl 1123.15014
Fallat, Shaun M.; Johnson, Charles R.
12
2007
A combinatorial converse to the Perron-Frobenius theorem. Zbl 0739.15004
Eschenbach, Carolyn A.; Johnson, Charles R.
12
1990
Spectra of matrices with P-matrix powers. Zbl 0612.15013
Hershkowitz, Daniel; Johnson, Charles R.
11
1986
The spectral radius of a product of nonnegative matrices. Zbl 0712.15013
Johnson, Charles R.; Bru, Rafael
11
1990
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
Inverse spectral problems for collections of leading principal submatrices of tridiagonal matrices. Zbl 1325.15032
Higgins, Vijay; Johnson, Charles
11
2016
The completely positive and doubly nonnegative completion problems. Zbl 0911.15012
Drew, John H.; Johnson, Charles R.
11
1998
Olga, matrix theory and the Taussky unification problem. Zbl 0946.15001
Johnson, Charles R.; Fallat, Shaun
11
1998
Spectral variation under congruence for a nonsingular matrix with 0 on the boundary of its field of values. Zbl 1018.15008
Furtado, Susana; Johnson, Charles R.
11
2003
\(P\)-matrix completions under weak symmetry assumptions. Zbl 0963.15021
Fallat, Shaun M.; Johnson, Charles R.; Torregrosa, Juan R.; Urbano, Ana M.
11
2000
Efficiency of any weighted geometric mean of the columns of a reciprocal matrix. Zbl 1527.15036
Furtado, Susana; Johnson, Charles R.
1
2024
Parter vertices and generalization of the downer branch mechanism in the general setting. Zbl 07855979
Toyonaga, Kenji; Johnson, Charles R.
1
2024
The minimum number of multiplicity 1 eigenvalues among real symmetric matrices whose graph is a linear tree. Zbl 1517.15005
Ding, Wenxuan; Johnson, Charles R.
1
2023
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.
4
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
2
2021
Linear preservers of copositive matrices. Zbl 1472.15040
Furtado, Susana; Johnson, C. R.; Zhang, Yulin
2
2021
The totally positive completion problem: the 3-by-n case. Zbl 1479.15031
Carter, D.; DiMarco, K. E.; Johnson, C. R.; Wedemeyer, L.; Yu, Z.
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
Corrigendum to: “The proportion of trees that are linear”. Zbl 1469.05082
Wakhare, Tanay; Wityk, Eric; Johnson, Charles R.
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
Matrix positivity. Zbl 1469.15002
Johnson, Charles R.; Smith, Ronald L.; Tsatsomeros, Michael J.
9
2020
Nonnegative realizability with Jordan structure. Zbl 1475.15012
Johnson, Charles R.; Julio, Ana I.; Soto, Ricardo L.
9
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
Matricial proofs of some classical results about critical point location. Zbl 1429.26024
Johnson, Charles R.; Paparella, Pietro
1
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
3
2019
Eigenvalues, multiplicities and graphs. Zbl 1433.05002
Johnson, Charles R.; Saiago, Carlos M.
25
2018
The NIEP. Zbl 1427.15001
Johnson, Charles R.; Marijuán, Carlos; Paparella, Pietro; Pisonero, Miriam
21
2018
Geometric Parter-Wiener, etc. theory. Zbl 1376.15030
Johnson, Charles R.; Saiago, Carlos M.
10
2018
Universal realizability of spectra with two positive eigenvalues. Zbl 1391.15037
Collao, Macarena; Johnson, Charles R.; Soto, Ricardo L.
9
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
5
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.
9
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
Symmetric nonnegative realizability via partitioned majorization. Zbl 1375.15015
Johnson, C. R.; Marijuán, C.; Pisonero, M.
3
2017
On the solvability of derived matrix problems, including completions and duals. Zbl 1349.14180
Johnson, Charles R.; Leal-Duarte, António
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
Network cohesion. Zbl 1405.91403
Cavalcanti, Tiago V. V.; Giannitsarou, Chryssi; Johnson, Charles R.
1
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
7
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 number of interlacing equalities resulting from removal of a vertex from a tree. Zbl 1320.15005
Farber, Miriam; Johnson, Charles; Zhang, Leon
1
2015
The structure of Schur complements in hollow, symmetric nonnegative matrices with two nonpositive eigenvalues. Zbl 1369.15021
Farber, Miriam; Johnson, Charles R.
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
Solution theory for systems of bilinear equations. Zbl 1307.15040
Johnson, Charles R.; Šmigoc, Helena; Yang, Dian
2
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
TP\(_k\) completions of partial matrices with one unspecified entry. Zbl 1327.15059
Akin, V.; Johnson, C. R.; Nasserasr, S.
1
2014
The sock matching problem. Zbl 1297.05019
Gilliand, Sarah; Johnson, Charles; Rush, Sam; Wood, Deborah
1
2014
Submatrix monotonicity of the Perron root. II. Zbl 1294.15009
Furtado, Susana; Johnson, C. R.; Marijuán, C.; Pisonero, M.
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
The Koteljanskii inequalities for mixed matrices. Zbl 1303.15023
Johnson, Charles R.; Narayan, Sivaram K.
1
2014
Matrix analysis. 2nd ed. Zbl 1267.15001
Horn, Roger A.; Johnson, Charles R.
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
5
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
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
The product field of values. Zbl 1272.15015
Corey, Daniel; Johnson, Charles R.; Kirk, Ryan; Lins, Brian; Spitkovsky, Ilya
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
Optimal Gersgorin-style estimation of the singular value. Zbl 1250.65054
Johnson, Ch. R.; Pena, J. M.; Szulc, T.
1
2012
Minimizing the least eigenvalue of graphs with fixed order and size. Zbl 1245.05086
Johnson, Charles R.; Sawikowska, Aneta
1
2012
Totally nonnegative matrices. Zbl 1390.15001
Fallat, Shaun M.; Johnson, Charles R.
170
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.
20
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.
10
2011
The ratio field of values. Zbl 1209.15024
Einstein, Eduard; Johnson, Charles R.; Lins, Brian; Spitkovsky, Ilya
6
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
The Jordan form problem for \(C = AB\): the balanced, diagonalizable case. Zbl 1213.15010
Johnson, Charles R.; Zhang, YuLin
2
2010
Order invariant spectral properties for several matrices. Zbl 1187.15011
Furtado, Susana; Johnson, Charles R.
2
2010
Gangster operators and invincibility of positive semidefinite matrices. Zbl 1216.15023
Ferguson, Timothy; Johnson, Charles
1
2010
Spectra that are Newton after extension or translation. Zbl 1205.15018
Johnson, C. R.; Marijuán, C.; Pisonero, M.
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.
9
2009
Scaling of symmetric matrices by positive diagonal congruence. Zbl 1166.15011
Johnson, Charles R.; Reams, Robert
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
Totally positive completions for monotonically labeled block clique graphs. Zbl 1171.05360
Johnson, Charles R.; Negron, Cris
4
2009
Solution theory for complete bilinear systems of equations. Zbl 1224.15047
Johnson, Charles R.; Link, Joshua A.
4
2009
...and 305 more Documents
all top 5

Cited by 13,626 Authors

286 Johnson, Charles Royal
110 Li, Chi-Kwong
82 Ikramov, Saidkhakim Dododshanovich
75 van den Driessche, Pauline
52 Fallat, Shaun M.
52 Huang, Ting-Zhu
51 Peña, Juan Manuel
47 Olesky, D. Dale
42 Cao, Jinde
41 Kirkland, Stephen J.
40 Tsatsomeros, Michael J.
38 Horn, Roger Alan
38 Kittaneh, Fuad
38 Spitkovsky, Ilya Matvey
34 Hogben, Leslie
33 Soto, Ricardo Lorenzo
32 Hall, Frank J.
32 Liu, Jianzhou
32 Wei, Yimin
30 Furtado, Susana
29 Chen, Guanrong
29 Gau, Hwa-Long
29 Li, Zhongshan
29 Psarrakos, Panayiotis J.
29 Rodman, Leiba X.
29 Wu, Peiyuan
28 da Fonseca, Carlos Martins
28 Loewy, Raphael
28 Neumann, Michael
28 Tam, Tin-Yau
27 Shader, Bryan L.
26 Bebiano, Natália Isabel Quadros
26 Dopico, Froilán M.
26 Lu, Jianquan
26 Rojo, Oscar L.
26 Sergeichuk, Vladimir Vasil’evich
26 Šmigoc, Helena
26 Xu, Daoyi
26 Zhang, Fuzhen
25 Bapat, Ravindra Bhalchandra
24 Barrett, Wayne W.
24 Marijuán, Carlos
23 Chien, Mao-Ting
23 Li, Wen
23 Mcdonald, Judith Joanne
22 Benzi, Michele
22 Gao, Yubin
22 Merino, Dennis I.
22 Pisonero, Miriam
22 Reichel, Lothar
22 Tian, Yongge
21 Berman, Abraham S.
21 Elsner, Ludwig F.
21 Nakazato, Hiroshi
21 Narayan, Sivaram K.
20 Ganie, Hilal Ahmad
20 Lewkowicz, Izchak
20 Mehrmann, Volker
20 Nikiforov, Vladimir S.
20 Paras, Agnes T.
20 Pirzada, Shariefuddin
20 Sze, Nung-Sing
20 Uhlig, Frank
20 Zhou, Bo
19 De La Cruz, Ralph John Lamadrid
19 Hershkowitz, Daniel
19 Li, Hanyu
19 Merikoski, Jorma Kaarlo
19 Poon, Yiu-Tung
19 Tsing, Nam-Kiu
19 Wang, Qingwen
19 Wolkowicz, Henry
18 Bhatia, Rajendra
18 Cheng, Cheman
18 Das, Kinkar Chandra
18 de Terán, Fernando
18 Higham, Nicholas J.
18 Li, Rencang
18 Paparella, Pietro
18 Rather, Bilal Ahmad
18 Smith, Ronald Lee
18 Vander Meulen, Kevin N.
17 da Providência Santarém e Costa, João
17 Fan, Yizheng
17 Kim, Sejong
17 Laffey, Thomas J.
17 Lin, Minghua
17 Ma, Changfeng
17 Menegatto, Valdir Antonio
17 Pérez, Teresa E.
17 Qiu, Li
17 Shao, Yanling
17 Shorten, Robert N.
17 Simoncini, Valeria
17 Sivakumar, Koratti Chengalrayan
17 Tam, Bit-Shun
17 Urbano, Ana María
16 Benner, Peter
16 Drury, Stephen William
16 Garcia, Stephan Ramon
...and 13,526 more Authors
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Cited in 889 Serials

2,323 Linear Algebra and its Applications
495 Linear and Multilinear Algebra
325 Automatica
236 Applied Mathematics and Computation
182 Journal of Computational and Applied Mathematics
141 Journal of Mathematical Analysis and Applications
132 SIAM Journal on Matrix Analysis and Applications
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118 Systems & Control Letters
112 International Journal of Robust and Nonlinear Control
101 ELA. The Electronic Journal of Linear Algebra
98 International Journal of Control
90 Numerical Linear Algebra with Applications
85 Discrete Mathematics
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81 Special Matrices
78 Mathematical Programming. Series A. Series B
77 Numerical Algorithms
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70 Proceedings of the American Mathematical Society
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60 Journal of Inequalities and Applications
58 Journal of Econometrics
55 Journal of Computational Physics
54 The Annals of Statistics
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51 SIAM Journal on Scientific Computing
49 BIT
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45 Applied Mathematics Letters
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42 Mathematical Problems in Engineering
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41 Statistics & Probability Letters
41 Neural Networks
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40 Computational Optimization and Applications
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39 Automation and Remote Control
39 SIAM Journal on Optimization
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37 Physics Letters. A
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22 Journal of Approximation Theory
22 Applied Mathematical Modelling
22 Optimization Letters
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21 Computational Statistics and Data Analysis
...and 789 more Serials
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