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## Carlson, David Hilding

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 Author ID: carlson.david-hilding Published as: Carlson, David; Carlson, David H.; Carlson, D. External Links: MGP
 Documents Indexed: 54 Publications since 1962, including 4 Books
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#### Co-Authors

 20 single-authored 5 Johnson, Charles Royal 4 Hill, Richard D. 4 Loewy, Raphael 4 Markham, Thomas L. 3 Haynsworth, Emilie V. 3 Nath Datta, Biswa 3 Schneider, Hans 3 Uhlig, Frank 3 Varga, Richard Steven 2 Datta, Biswa N. 2 Hershkowitz, Daniel 2 Lay, David Clark 2 Porter, A. Duane 1 Barker, George Phillip 1 Brualdi, Richard Anthony 1 Burns, Fennell 1 Davis, Chandler 1 Klimas, Andrew J. 1 Marques de Sá, Eduardo 1 Pierce, Stephen J. 1 Plemmons, Robert James 1 Potter, Russell T. 1 Shasha, Dafna 1 Tam, Tin-Yau 1 Watkins, Ann. E.
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#### Serials

 21 Linear Algebra and its Applications 4 Linear and Multilinear Algebra 3 Journal of Mathematical Analysis and Applications 3 SIAM Journal on Applied Mathematics 2 Pacific Journal of Mathematics 2 SIAM Journal on Algebraic and Discrete Methods 2 MAA Notes 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Simon Stevin 1 SIAM Journal on Matrix Analysis and Applications 1 Panamerican Mathematical Journal 1 Bulletin of the American Mathematical Society 1 Journal of the Society for Industrial & Applied Mathematics 1 Journal of Research of the National Bureau of Standards 1 Contemporary Mathematics
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#### Fields

 43 Linear and multilinear algebra; matrix theory (15-XX) 8 Systems theory; control (93-XX) 5 General and overarching topics; collections (00-XX) 5 Numerical analysis (65-XX) 2 Combinatorics (05-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Ordinary differential equations (34-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

44 Publications have been cited 559 times in 443 Documents Cited by Year
Inertia theorems for matrices: the semidefinite case. Zbl 0192.13402
Carlson, D.; Schneider, H.
1963
Cones of diagonally dominant matrices. Zbl 0283.52005
Barker, George Phillip; Carlson, David
1975
A generalization of the Schur complement by means of the Moore-Penrose inverse. Zbl 0245.15002
Carlson, David; Haynsworth, Emilie; Markham, Thomas
1974
What are Schur complements, anyway? Zbl 0595.15006
Carlson, David
1986
Generalized inverse formulas using the Schur complement. Zbl 0284.15004
Burns, Fennell; Carlson, David; Haynsworth, Emilie; Markham, Thomas
1974
Schur complements of diagonally dominant matrices. Zbl 0423.15008
Carlson, David; Markham, Thomas L.
1979
On ranges of Lyapunov transformations. Zbl 0284.15013
Carlson, David; Loewy, Raphael
1974
A class of positive stable matrices. Zbl 0281.15020
Carlson, David
1974
Weakly sign-symmetric matrices and some determinantal inequalities. Zbl 0147.27502
Carlson, David
1967
On real eigenvalues of complex matrices. Zbl 0142.27001
Carlson, David H.
1965
Generalized minimax and interlacing theorems. Zbl 0539.15011
Carlson, David; Marques de Sá, Eduardo
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.
1982
Minimal G-functions. Zbl 0246.15009
Carlson, David H.; Varga, Richard S.
1973
Inequalities for the degrees of elementary divisors of modules. Zbl 0238.13013
Carlson, David
1972
A note on M-matrix equations. Zbl 0196.30202
Carlson, David
1964
On the effective computation of the inertia of a non-hermitian matrix. Zbl 0402.15003
Carlson, David; Datta, Biswa Nath
1979
A new criterion for H-stability of complex matrices. Zbl 0155.06302
Carlson, David
1968
Inequalities relating the degrees of elementary divisors within a matrix. Zbl 0211.04802
Carlson, David
1970
The Lyapunov matric equation SA+A*S=S*B*BS. Zbl 0422.15010
Carlson, David H.; Datta, Biswa Nath
1979
Matrix decompositions involving the Schur complement. Zbl 0296.15006
Carlson, David
1975
Minimax and interlacing theorems for matrices. Zbl 0522.15010
Carlson, David
1983
Generalized controllability and inertia theory. Zbl 0338.15010
Carlson, David; Hill, Richard
1976
Complementable and almost definite matrices. Zbl 0522.15001
Carlson, David; Haynsworth, Emilie V.
1983
Block diagonal semistability factors and Lyapunov semistability of block triangular matrices. Zbl 0756.15025
Carlson, David; Hershkowitz, Daniel; Shasha, Dafna
1992
Controllability, inertia, and stability for tridiagonal matrices. Zbl 0531.15008
Carlson, David
1984
Controllability and inertia theory for functions of a matrix. Zbl 0359.15009
Carlson, David; Hill, Richard D.
1977
Rank and inertia bounds for matrices under $$R (AH) \geq 0$$. Zbl 0133.26105
Carlson, David
1965
A note on matrices over extension fields. Zbl 0144.01904
Carlson, David
1966
Nonsingularity criteria for matrices involving combinatorial considerations. Zbl 0686.05036
Carlson, David
1988
On some determinantal inequalities. Zbl 0159.32103
Carlson, David
1968
Generalized inverse invariance, partial orders, and rank-minimization problems for matrices. Zbl 0651.15005
Carlson, David
1987
Common eigenvectors and quasicommutativity of sets of simultaneously triangularizable matrices. Zbl 0581.15006
Carlson, David; Pierce, Stephen
1985
Induced bilinear maps and matrix equations. Zbl 0444.15013
Carlson, David; Loewy, Raphael
1980
Minimal G-functions. II. Zbl 0261.15017
Carlson, David H.; Varga, Richard S.
1973
On collections of G-functions. Zbl 0273.15008
Carlson, David H.; Varga, Richard S.
1974
A generalization of Cauchy’s double alternant. Zbl 0156.03502
Carlson, David; Davis, Chandler
1964
Inertia theorems for matrices: The semi-definite case. Zbl 0192.13401
Carlson, D.; Schneider, H.
1962
Generalizations of matrix monotonicity. Zbl 0322.15012
Carlson, David
1976
On the controllability of matrix pairs (A,K) with K positive semidefinite. Zbl 0561.15009
Carlson, David; Datta, B. N.; Schneider, Hans
1984
Resources for teaching linear algebra. Zbl 0868.15004
Carlson, David (ed.); Johnson, Charles R. (ed.); Lay, David C. (ed.); Porter, A. Duane (ed.); Watkins, Ann. E. (ed.); Watkins, William (ed.)
1997
Linear algebra gems. Assets for undergraduate mathematics. Zbl 0998.15002
Carlson, David (ed.); Johnson, Charles R. (ed.); Lay, David C. (ed.); Porter, A. Duane (ed.)
2002
On the controllability of matrix pairs $$(A,K)$$ with $$K$$ positive semidefinite. II. Zbl 0801.15010
Carlson, David
1994
Emilie Haynsworth, 1916-1985 (Obituary). Zbl 0582.01019
Carlson, David; Markham, Thomas L.; Uhlig, Frank
1986
Nonsingularity criteria for general combinatorially symmetric matrices. Zbl 0686.05035
Carlson, David; Hershkowitz, Daniel
1989
Linear algebra gems. Assets for undergraduate mathematics. Zbl 0998.15002
Carlson, David; Johnson, Charles R.; Lay, David C.; Porter, A. Duane
2002
Resources for teaching linear algebra. Zbl 0868.15004
Carlson, David; Johnson, Charles R.; Lay, David C.; Porter, A. Duane; Watkins, Ann. E.; Watkins, William
1997
On the controllability of matrix pairs $$(A,K)$$ with $$K$$ positive semidefinite. II. Zbl 0801.15010
Carlson, David
1994
Block diagonal semistability factors and Lyapunov semistability of block triangular matrices. Zbl 0756.15025
Carlson, David; Hershkowitz, Daniel; Shasha, Dafna
1992
Nonsingularity criteria for general combinatorially symmetric matrices. Zbl 0686.05035
Carlson, David; Hershkowitz, Daniel
1989
Nonsingularity criteria for matrices involving combinatorial considerations. Zbl 0686.05036
Carlson, David
1988
Generalized inverse invariance, partial orders, and rank-minimization problems for matrices. Zbl 0651.15005
Carlson, David
1987
What are Schur complements, anyway? Zbl 0595.15006
Carlson, David
1986
Emilie Haynsworth, 1916-1985 (Obituary). Zbl 0582.01019
Carlson, David; Markham, Thomas L.; Uhlig, Frank
1986
Common eigenvectors and quasicommutativity of sets of simultaneously triangularizable matrices. Zbl 0581.15006
Carlson, David; Pierce, Stephen
1985
Generalized minimax and interlacing theorems. Zbl 0539.15011
Carlson, David; Marques de Sá, Eduardo
1984
Controllability, inertia, and stability for tridiagonal matrices. Zbl 0531.15008
Carlson, David
1984
On the controllability of matrix pairs (A,K) with K positive semidefinite. Zbl 0561.15009
Carlson, David; Datta, B. N.; Schneider, Hans
1984
Minimax and interlacing theorems for matrices. Zbl 0522.15010
Carlson, David
1983
Complementable and almost definite matrices. Zbl 0522.15001
Carlson, David; Haynsworth, Emilie V.
1983
A semi-definite Lyapunov theorem and the characterization of tridiagonal D-stable matrices. Zbl 0541.15008
Carlson, David; Datta, B. N.; Johnson, Charles R.
1982
Induced bilinear maps and matrix equations. Zbl 0444.15013
Carlson, David; Loewy, Raphael
1980
Schur complements of diagonally dominant matrices. Zbl 0423.15008
Carlson, David; Markham, Thomas L.
1979
On the effective computation of the inertia of a non-hermitian matrix. Zbl 0402.15003
Carlson, David; Datta, Biswa Nath
1979
The Lyapunov matric equation SA+A*S=S*B*BS. Zbl 0422.15010
Carlson, David H.; Datta, Biswa Nath
1979
Controllability and inertia theory for functions of a matrix. Zbl 0359.15009
Carlson, David; Hill, Richard D.
1977
Generalized controllability and inertia theory. Zbl 0338.15010
Carlson, David; Hill, Richard
1976
Generalizations of matrix monotonicity. Zbl 0322.15012
Carlson, David
1976
Cones of diagonally dominant matrices. Zbl 0283.52005
Barker, George Phillip; Carlson, David
1975
Matrix decompositions involving the Schur complement. Zbl 0296.15006
Carlson, David
1975
A generalization of the Schur complement by means of the Moore-Penrose inverse. Zbl 0245.15002
Carlson, David; Haynsworth, Emilie; Markham, Thomas
1974
Generalized inverse formulas using the Schur complement. Zbl 0284.15004
Burns, Fennell; Carlson, David; Haynsworth, Emilie; Markham, Thomas
1974
On ranges of Lyapunov transformations. Zbl 0284.15013
Carlson, David; Loewy, Raphael
1974
A class of positive stable matrices. Zbl 0281.15020
Carlson, David
1974
On collections of G-functions. Zbl 0273.15008
Carlson, David H.; Varga, Richard S.
1974
Minimal G-functions. Zbl 0246.15009
Carlson, David H.; Varga, Richard S.
1973
Minimal G-functions. II. Zbl 0261.15017
Carlson, David H.; Varga, Richard S.
1973
Inequalities for the degrees of elementary divisors of modules. Zbl 0238.13013
Carlson, David
1972
Inequalities relating the degrees of elementary divisors within a matrix. Zbl 0211.04802
Carlson, David
1970
A new criterion for H-stability of complex matrices. Zbl 0155.06302
Carlson, David
1968
On some determinantal inequalities. Zbl 0159.32103
Carlson, David
1968
Weakly sign-symmetric matrices and some determinantal inequalities. Zbl 0147.27502
Carlson, David
1967
A note on matrices over extension fields. Zbl 0144.01904
Carlson, David
1966
On real eigenvalues of complex matrices. Zbl 0142.27001
Carlson, David H.
1965
Rank and inertia bounds for matrices under $$R (AH) \geq 0$$. Zbl 0133.26105
Carlson, David
1965
A note on M-matrix equations. Zbl 0196.30202
Carlson, David
1964
A generalization of Cauchy’s double alternant. Zbl 0156.03502
Carlson, David; Davis, Chandler
1964
Inertia theorems for matrices: the semidefinite case. Zbl 0192.13402
Carlson, D.; Schneider, H.
1963
Inertia theorems for matrices: The semi-definite case. Zbl 0192.13401
Carlson, D.; Schneider, H.
1962
all top 5

#### Cited by 432 Authors

 25 Carlson, David Hilding 21 Johnson, Charles Royal 13 Hershkowitz, Daniel 13 Schneider, Hans 11 Hill, Richard D. 9 Liu, Jianzhou 8 Ballantine, C. S. 8 Nath Datta, Biswa 7 Lerer, Leonid Efimovich 7 Markham, Thomas L. 7 Neumann, Michael 6 Cain, Bryan E. 6 Datta, Biswa N. 6 Dodig, Marija 6 Tian, Yongge 5 Berman, Abraham S. 5 Hartwig, Robert E. 5 Loewy, Raphael 5 Marques de Sá, Eduardo 5 Mehrmann, Volker 5 Mitra, Sujit Kumar 5 Queiró, João Filipe 5 Tarazaga, Pablo A. 5 Tismenetsky, Miron 5 Trapp, George E. jun. 5 van den Driessche, Pauline 5 Waters, Steven R. 4 Cvetković, Ljiljana 4 Kushel, Olga Yur’evna 4 Olesky, D. Dale 4 Rodman, Leiba X. 4 Silva, Fernando Conceição 4 Stošić, Marko 4 Wolkowicz, Henry 4 Xu, Jianhong 3 Ahmadi, Amir Ali 3 Alfakih, Abdo Y. 3 Anderson, William N. jun. 3 Barker, George Phillip 3 Barrett, Wayne W. 3 Chen, Gongning 3 Cohen, Nir 3 Corach, Gustavo 3 Datta, Karabi 3 DeAlba, Luz Maria 3 Fiedler, Miroslav 3 Friedland, Shmuel 3 Gowda, Muddappa Seetharama 3 Gumus, Mehmet 3 Hayden, Thomas L. 3 Huang, Zejun 3 Huang, Zhuohong 3 Jbilou, Khalide 3 Johnson, Gregery A. 3 Lewkowicz, Izchak 3 Li, Yaotang 3 Morley, Thomas D. 3 Nedović, Maja 3 Nordström, Kenneth 3 Nwokah, Osita D. I. 3 Pataki, Gábor 3 Plemmons, Robert James 3 Redivo-Zaglia, Michela 3 Smith, Ronald L. 3 Stojanoff, Demetrio 3 Taussky-Todd, Olga 3 Varga, Richard Steven 3 Wells, James H. 3 Wimmer, Harald K. 3 Yip, Elizabeth L. 3 Zaballa, Ion 3 Zhang, Chengyi 3 Zhang, Fuzhen 2 Adjiman, Claire S. 2 Antezana, Jorge 2 Appleby, Glenn D. 2 Baksalary, Jerzy K. 2 Bapat, Ravindra Bhalchandra 2 Baragaña, Itziar 2 Bouyouli, R. 2 Brezinski, Claude 2 Contino, Maximiliano 2 Cottle, Richard W. 2 de Hoyos, Inmaculada 2 Faouzi, Abdelkhalek 2 Feliu, Elisenda 2 Galántai, Aurél 2 Gil’, Michael Iosif 2 Hall, Georgina 2 Haynsworth, Emilie V. 2 Hoffman, Alan J. 2 Holtz, Olga 2 Jeffries, Clark D. 2 Jin, Hongwei 2 Kaszkurewicz, Eugenius 2 Lancaster, Peter 2 Leal-Duarte, António 2 Lewis, Drew 2 Li, Chi-Kwong 2 Li, Jicheng ...and 332 more Authors
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#### Cited in 86 Serials

 250 Linear Algebra and its Applications 31 Linear and Multilinear Algebra 13 Applied Mathematics and Computation 9 Journal of Mathematical Analysis and Applications 9 SIAM Journal on Algebraic and Discrete Methods 7 Journal of Global Optimization 5 Automatica 5 Czechoslovak Mathematical Journal 5 Proceedings of the American Mathematical Society 4 Systems & Control Letters 3 International Journal of Control 3 Journal of Mathematical Physics 3 Advances in Applied Mathematics 3 Mathematical Programming. Series A. Series B 3 SIAM Journal on Optimization 2 Discrete Mathematics 2 Integral Equations and Operator Theory 2 Journal of Computational and Applied Mathematics 2 Journal of Optimization Theory and Applications 2 Numerische Mathematik 2 Circuits, Systems, and Signal Processing 2 Applied Mathematics and Mechanics. (English Edition) 2 SIAM Review 2 Numerical Linear Algebra with Applications 2 Optimization Methods & Software 2 Journal of Inequalities and Applications 2 Journal of Applied Mathematics 2 Journal of Applied Mathematics and Computing 2 Asian-European Journal of Mathematics 2 Functional Analysis, Approximation and Computation 2 Special Matrices 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Discrete Applied Mathematics 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Nonlinearity 1 Periodica Mathematica Hungarica 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Reviews in Mathematical Physics 1 The Mathematical Intelligencer 1 Advances in Mathematics 1 Archiv der Mathematik 1 Functiones et Approximatio. Commentarii Mathematici 1 International Journal of Game Theory 1 Journal of Algebra 1 Journal of Differential Equations 1 Journal of Economic Theory 1 Kybernetika 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 RAIRO. Analyse Numérique 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Mathematical Social Sciences 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Optimization 1 Applied Mathematics Letters 1 Journal of the American Mathematical Society 1 SIAM Journal on Matrix Analysis and Applications 1 MCSS. Mathematics of Control, Signals, and Systems 1 Annals of Operations Research 1 Aequationes Mathematicae 1 Communications in Statistics. Theory and Methods 1 European Journal of Operational Research 1 Bulletin of the American Mathematical Society. New Series 1 Computational Optimization and Applications 1 Top 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Convex Analysis 1 Advances in Computational Mathematics 1 ELA. The Electronic Journal of Linear Algebra 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 International Journal of Applied Mathematics and Computer Science 1 CEJOR. Central European Journal of Operations Research 1 Optimization and Engineering 1 SIAM Journal on Applied Dynamical Systems 1 Discrete Optimization 1 Proceedings of the Steklov Institute of Mathematics 1 Frontiers of Mathematics in China 1 ISRN Algebra 1 SIAM Journal on Applied Algebra and Geometry
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#### Cited in 43 Fields

 343 Linear and multilinear algebra; matrix theory (15-XX) 62 Systems theory; control (93-XX) 52 Numerical analysis (65-XX) 38 Operations research, mathematical programming (90-XX) 33 Combinatorics (05-XX) 31 Operator theory (47-XX) 14 Ordinary differential equations (34-XX) 10 Functional analysis (46-XX) 10 Convex and discrete geometry (52-XX) 8 Information and communication theory, circuits (94-XX) 7 Field theory and polynomials (12-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Statistics (62-XX) 6 Quantum theory (81-XX) 5 Commutative algebra (13-XX) 5 Associative rings and algebras (16-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 History and biography (01-XX) 4 Algebraic geometry (14-XX) 4 Group theory and generalizations (20-XX) 4 Functions of a complex variable (30-XX) 4 Probability theory and stochastic processes (60-XX) 4 Computer science (68-XX) 3 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Geometry (51-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 2 Partial differential equations (35-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Mathematics education (97-XX)