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Barker, George Phillip

Author ID: barker.george-phillip Recent zbMATH articles by "Barker, George Phillip"
Published as: Barker, George Phillip; Barker, G. P.; Barker, George P.
Documents Indexed: 52 Publications since 1968, including 2 Books
2 Contributions as Editor
Reviewing Activity: 130 Reviews
Co-Authors: 19 Co-Authors with 27 Joint Publications
428 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 457 times in 351 Documents Cited by Year
Positive diagonal solutions to the Lyapunov equations. Zbl 0385.15006
Barker, G. P.; Berman, A.; Plemmons, R. J.
68
1978
Theory of cones. Zbl 0467.15002
Barker, George Phillip
65
1981
Cones of diagonally dominant matrices. Zbl 0283.52005
Barker, George Phillip; Carlson, David
57
1975
Finite-dimensional linear analysis: A systematic presentation in problem form. Translated and edited by G. P. Barker and G. Kuerti. Zbl 0332.15001
Glazman, I. M.; Lyubich, Yu. I.
39
1974
The lattice of faces of a finite dimensional cone. Zbl 0249.15010
Barker, George Phillip
35
1973
Algebraic Perron-Frobenius theory. Zbl 0311.15011
Barker, G. P.; Schneider, Hans
32
1975
On matrices having an invariant cone. Zbl 0238.15005
Barker, George Phillip
22
1972
On the completely positive and positive-semidefinite-preserving cones. Zbl 0534.15012
Barker, George Phillip; Hill, Richard D.; Haertel, Raymond D.
21
1984
A non-commutative spectral theorem. Zbl 0383.15006
Barker, G. P.; Eifler, L. Q.; Kezlan, T. P.
20
1978
Finite-dimensional linear analysis. A systematic presentation in problem form. Translated from the Russian and edited by G. P. Barker and G. Kuerti. Reprint of the 1974 edition. Zbl 1115.46001
Glazman, I. M.; Ljubič, Ju. I.
19
2006
Automorphisms of algebras of upper triangular matrices. Zbl 0674.16014
Barker, George Phillip; Kezlan, Thomas P.
15
1990
Self-dual cones in Euclidean spaces. Zbl 0319.15012
Barker, George Phillip; Foran, James
15
1976
Convergent iterations for computing stationary distributions of Markov chains. Zbl 0617.65027
Barker, G. P.; Plemmons, R. J.
12
1986
Matrices and linear algebra. Zbl 0182.04901
Schneider, Hans; Barker, George Phillip
11
1968
Slowly changing functions and their applications. Zbl 0388.30020
Singh, S. K.; Barker, G. P.
10
1977
Automorphism groups of algebras of triangular matrices. Zbl 0682.16021
Barker, George Phillip
9
1989
MP matrices. Zbl 0412.15005
Poole, G. D.; Barker, G. P.
7
1979
Projectionally exposed cones. Zbl 0614.52006
Barker, George Phillip; Laidacker, Michael; Poole, George
6
1987
Structural matrix algebras and their lattices of invariant subspaces. Zbl 1068.15014
Akkurt, Mustafa; Barker, George Phillip; Wild, Marcel
6
2005
Some observations on the spectra of cone preserving maps. Zbl 0251.15019
Barker, G. P.; Turner, R. E. L.
6
1973
Graphs and irreducible cone preserving maps. Zbl 0754.05040
Tam, Bit-Shun; Barker, George Phillip
5
1992
Generalizations of topheavy cones. Zbl 0429.15001
Barker, G. P.
5
1980
Monotone norms and tensor products. Zbl 0339.15011
Barker, George Phillip
5
1976
Matricial norms over cones. Zbl 0251.15024
Barker, George Phillip
5
1973
On the exponent of a primitive, minimally strong digraph. Zbl 0641.05020
Yang, Shangjun; Barker, George P.
4
1988
Modular face lattices: Low dimensional cases. Zbl 0469.15001
Barker, George Phillip
4
1981
Stochastic matrices over cones. Zbl 0281.15018
Barker, George Phillip
4
1974
Monotone norms. Zbl 0229.15013
Barker, George Phillip
4
1972
Matrices and linear algebra. 2nd ed., repr. of the orig., publ. by Holt, Rinehart and Winston, 1973. Zbl 0716.15001
Schneider, Hans; Barker, George Phillip
3
1989
A geometric Gordan-Stiemke theorem. Zbl 0547.15008
Barker, G. P.; Tam, B. S.; Davila, Norbil
3
1984
Semi-iterative methods for singular M-matrices. Zbl 0648.65027
Barker, G. P.; Yang, S.-J.
3
1988
Cones of polynomials. Zbl 0631.52003
Barker, George P.; Thompson, Alex
3
1987
Complete controllability and contractibility in multimodal systems. Zbl 0658.93011
Barker, G. P.; Conner, L. T. jun.; Stanford, D. P.
3
1988
Triangular matrices and the Cayley-Hamilton theorem. Zbl 0211.35201
Barker, G. P.
3
1971
Common solutions to the Lyapunov equations. Zbl 0354.15004
Barker, George Phillip
3
1977
Automorphisms of structural matrix algebras. Zbl 1312.15020
Akkurt, Mustafa; Akkurt, Emira; Barker, George P.
3
2013
Jordan homomorphisms of the structural matrix algebras. Zbl 1361.15020
Akkurt, E.; Akkurt, M.; Barker, G. P.
3
2015
Reflexive algebras of matrices. Zbl 0578.15007
Barker, George Phillip; Conklin, Joyce Jaben
2
1985
Normal matrices and the Ljapunov equation. Zbl 0243.15009
Barker, George Phillip
2
1974
Green’s \(*\) relations in the semigroup of nonnegative matrices. Zbl 1075.20517
Zhang, Ronghua; Yang, Shangjun; Barker, George P.
2
1993
Baer semirings and Baer \(*\)-semirings of cone-preserving maps. Zbl 0878.15009
Barker, George Phillip; Tam, Bit-Shun
1
1997
Applications of the joint angular field of values. Zbl 0518.15011
Barker, George Phillip
1
1984
Internal stability of two dimensional systems. Zbl 0534.15018
Barker, George Phillip; Campbell, Stephen L.
1
1983
On differential polynomials. Zbl 0452.30017
Barker, G. P.; Singh, Anand P.
1
1980
On asymptotic expansions for functions of matrix argument. Zbl 0413.41016
Luki, Yudell L.; Barker, G. P.
1
1979
Complemented invariant subspaces of structural matrix algebras. Zbl 1283.15051
Akkurt, Mustafa; Akkurt, Emira; Barker, George Phillip
1
2013
Jordan homomorphisms of the structural matrix algebras. Zbl 1361.15020
Akkurt, E.; Akkurt, M.; Barker, G. P.
3
2015
Automorphisms of structural matrix algebras. Zbl 1312.15020
Akkurt, Mustafa; Akkurt, Emira; Barker, George P.
3
2013
Complemented invariant subspaces of structural matrix algebras. Zbl 1283.15051
Akkurt, Mustafa; Akkurt, Emira; Barker, George Phillip
1
2013
Finite-dimensional linear analysis. A systematic presentation in problem form. Translated from the Russian and edited by G. P. Barker and G. Kuerti. Reprint of the 1974 edition. Zbl 1115.46001
Glazman, I. M.; Ljubič, Ju. I.
19
2006
Structural matrix algebras and their lattices of invariant subspaces. Zbl 1068.15014
Akkurt, Mustafa; Barker, George Phillip; Wild, Marcel
6
2005
Baer semirings and Baer \(*\)-semirings of cone-preserving maps. Zbl 0878.15009
Barker, George Phillip; Tam, Bit-Shun
1
1997
Green’s \(*\) relations in the semigroup of nonnegative matrices. Zbl 1075.20517
Zhang, Ronghua; Yang, Shangjun; Barker, George P.
2
1993
Graphs and irreducible cone preserving maps. Zbl 0754.05040
Tam, Bit-Shun; Barker, George Phillip
5
1992
Automorphisms of algebras of upper triangular matrices. Zbl 0674.16014
Barker, George Phillip; Kezlan, Thomas P.
15
1990
Automorphism groups of algebras of triangular matrices. Zbl 0682.16021
Barker, George Phillip
9
1989
Matrices and linear algebra. 2nd ed., repr. of the orig., publ. by Holt, Rinehart and Winston, 1973. Zbl 0716.15001
Schneider, Hans; Barker, George Phillip
3
1989
On the exponent of a primitive, minimally strong digraph. Zbl 0641.05020
Yang, Shangjun; Barker, George P.
4
1988
Semi-iterative methods for singular M-matrices. Zbl 0648.65027
Barker, G. P.; Yang, S.-J.
3
1988
Complete controllability and contractibility in multimodal systems. Zbl 0658.93011
Barker, G. P.; Conner, L. T. jun.; Stanford, D. P.
3
1988
Projectionally exposed cones. Zbl 0614.52006
Barker, George Phillip; Laidacker, Michael; Poole, George
6
1987
Cones of polynomials. Zbl 0631.52003
Barker, George P.; Thompson, Alex
3
1987
Convergent iterations for computing stationary distributions of Markov chains. Zbl 0617.65027
Barker, G. P.; Plemmons, R. J.
12
1986
Reflexive algebras of matrices. Zbl 0578.15007
Barker, George Phillip; Conklin, Joyce Jaben
2
1985
On the completely positive and positive-semidefinite-preserving cones. Zbl 0534.15012
Barker, George Phillip; Hill, Richard D.; Haertel, Raymond D.
21
1984
A geometric Gordan-Stiemke theorem. Zbl 0547.15008
Barker, G. P.; Tam, B. S.; Davila, Norbil
3
1984
Applications of the joint angular field of values. Zbl 0518.15011
Barker, George Phillip
1
1984
Internal stability of two dimensional systems. Zbl 0534.15018
Barker, George Phillip; Campbell, Stephen L.
1
1983
Theory of cones. Zbl 0467.15002
Barker, George Phillip
65
1981
Modular face lattices: Low dimensional cases. Zbl 0469.15001
Barker, George Phillip
4
1981
Generalizations of topheavy cones. Zbl 0429.15001
Barker, G. P.
5
1980
On differential polynomials. Zbl 0452.30017
Barker, G. P.; Singh, Anand P.
1
1980
MP matrices. Zbl 0412.15005
Poole, G. D.; Barker, G. P.
7
1979
On asymptotic expansions for functions of matrix argument. Zbl 0413.41016
Luki, Yudell L.; Barker, G. P.
1
1979
Positive diagonal solutions to the Lyapunov equations. Zbl 0385.15006
Barker, G. P.; Berman, A.; Plemmons, R. J.
68
1978
A non-commutative spectral theorem. Zbl 0383.15006
Barker, G. P.; Eifler, L. Q.; Kezlan, T. P.
20
1978
Slowly changing functions and their applications. Zbl 0388.30020
Singh, S. K.; Barker, G. P.
10
1977
Common solutions to the Lyapunov equations. Zbl 0354.15004
Barker, George Phillip
3
1977
Self-dual cones in Euclidean spaces. Zbl 0319.15012
Barker, George Phillip; Foran, James
15
1976
Monotone norms and tensor products. Zbl 0339.15011
Barker, George Phillip
5
1976
Cones of diagonally dominant matrices. Zbl 0283.52005
Barker, George Phillip; Carlson, David
57
1975
Algebraic Perron-Frobenius theory. Zbl 0311.15011
Barker, G. P.; Schneider, Hans
32
1975
Finite-dimensional linear analysis: A systematic presentation in problem form. Translated and edited by G. P. Barker and G. Kuerti. Zbl 0332.15001
Glazman, I. M.; Lyubich, Yu. I.
39
1974
Stochastic matrices over cones. Zbl 0281.15018
Barker, George Phillip
4
1974
Normal matrices and the Ljapunov equation. Zbl 0243.15009
Barker, George Phillip
2
1974
The lattice of faces of a finite dimensional cone. Zbl 0249.15010
Barker, George Phillip
35
1973
Some observations on the spectra of cone preserving maps. Zbl 0251.15019
Barker, G. P.; Turner, R. E. L.
6
1973
Matricial norms over cones. Zbl 0251.15024
Barker, George Phillip
5
1973
On matrices having an invariant cone. Zbl 0238.15005
Barker, George Phillip
22
1972
Monotone norms. Zbl 0229.15013
Barker, George Phillip
4
1972
Triangular matrices and the Cayley-Hamilton theorem. Zbl 0211.35201
Barker, G. P.
3
1971
Matrices and linear algebra. Zbl 0182.04901
Schneider, Hans; Barker, George Phillip
11
1968
all top 5

Cited by 428 Authors

21 Tam, Bit-Shun
15 Hill, Richard D.
15 Schneider, Hans
13 Barker, George Phillip
11 Seeger, Alberto
10 Loewy, Raphael
8 Berman, Abraham S.
8 Hershkowitz, Daniel
8 Lourenço, Bruno F.
5 Neumann, Michael
5 Shasha, Dafna
5 Tarazaga, Pablo A.
5 Torki, Mounir
5 Werner, Hans-Joachim
5 Wolkowicz, Henry
4 Jamiołkowski, Andrzej
4 Laurent, Monique
4 Marek, Ivo
4 Mason, Oliver
4 Shapiro, Helene Marian
4 Shorten, Robert N.
4 Szyld, Daniel B.
4 Valcher, Maria Elena
3 Ahmadi, Amir Ali
3 Alfakih, Abdo Y.
3 Ambrosino, Roberto
3 Cain, Bryan E.
3 Fornaroli, Érica Zancanella
3 Gumus, Mehmet
3 Hayashi, Masahito
3 Iervolino, Raffaele
3 Iochum, Bruno
3 Ito, Masaru
3 Kaszkurewicz, Eugenius
3 Kushel, Olga Yur’evna
3 Liberti, Leo
3 Matcovschi, Mihaela-Hanako
3 Maxson, Carlton James
3 Pastravanu, Octavian C.
3 Pataki, Gábor
3 Plemmons, Robert James
3 Santesso, Paolo
3 Siler, Joseph R.
3 Weis, Stephan
3 Wild, Marcel
3 Xu, Jianhong
3 Yopp, David A.
2 Aleksandrov, Aleksandr Yur’evich
2 Baker, George Phillip
2 Banaji, Murad
2 Bellissard, Jean V.
2 Benzi, Michele
2 Bhaya, Amit
2 Carlson, David Hilding
2 Chandrashekaran, A.
2 Coelho, Sônia P.
2 Cohen, Nir
2 Dăscălescu, Sorin
2 de Laat, David
2 Gribling, Sander
2 Hall, Georgina
2 Hartfiel, Darald J.
2 Hayden, Thomas L.
2 Hou, Lihang
2 Hsu, Liu
2 Ikramov, Saidkhakim Dododshanovich
2 Iovanov, Miodrag-Cristian
2 Johnson, Charles Royal
2 Jøndrup, Søren
2 Kamizawa, Takeo
2 Kang, Na
2 Khrypchenko, Mykola S.
2 King, Christopher Kevin
2 Krylov, Pëtr Andreevich
2 Kunicki, Catherine M.
2 Laffey, Thomas J.
2 Lam, James
2 Lewkowicz, Izchak
2 Lindstrom, Scott B.
2 Mcdonald, Judith Joanne
2 Nechita, Ion
2 Pastuszak, Grzegorz
2 Permenter, Frank
2 Pilz, Günter F.
2 Plávala, Martin
2 Pong, Ting Kei
2 Poole, George D.
2 Raydan, Marcos
2 Rodman, Leiba X.
2 Sánchez-Gómez, J. L.
2 Saunderson, James
2 Schneid, Josef
2 Sivakumar, Koratti Chengalrayan
2 Słowik, Roksana
2 Song, Yongzhong
2 Spitkovsky, Ilya Matvey
2 Tanaka, Akihiro
2 Tuganbaev, Askar Akanovich
2 Ward, Robert C.
2 Wells, James H.
...and 328 more Authors
all top 5

Cited in 101 Serials

149 Linear Algebra and its Applications
25 Linear and Multilinear Algebra
9 Journal of Global Optimization
8 Automatica
7 Systems & Control Letters
7 Mathematical Programming. Series A. Series B
5 SIAM Journal on Optimization
4 Communications in Algebra
4 Journal of Mathematical Analysis and Applications
4 Proceedings of the American Mathematical Society
3 Journal of Mathematical Physics
3 Numerische Mathematik
3 Transactions of the American Mathematical Society
3 SIAM Journal on Algebraic and Discrete Methods
3 MCSS. Mathematics of Control, Signals, and Systems
3 Computational Optimization and Applications
3 Numerical Linear Algebra with Applications
2 Computers & Mathematics with Applications
2 Discrete Mathematics
2 International Journal of Systems Science
2 Czechoslovak Mathematical Journal
2 Integral Equations and Operator Theory
2 Journal of Algebra
2 Journal of Computational and Applied Mathematics
2 Journal of Optimization Theory and Applications
2 Results in Mathematics
2 Aequationes Mathematicae
2 SIAM Review
2 International Journal of Robust and Nonlinear Control
2 Journal of Convex Analysis
2 ELA. The Electronic Journal of Linear Algebra
2 Positivity
2 International Journal of Quantum Information
2 Journal of Physics A: Mathematical and Theoretical
2 Nonlinear Analysis. Hybrid Systems
2 Set-Valued and Variational Analysis
2 SIAM Journal on Applied Algebra and Geometry
1 Acta Informatica
1 Applicable Analysis
1 Communications in Mathematical Physics
1 Discrete Applied Mathematics
1 International Journal of Control
1 International Journal of Theoretical Physics
1 Information Processing Letters
1 Journal of Computational Physics
1 Journal of Mathematical Biology
1 Mathematical Biosciences
1 Physics Reports
1 Rocky Mountain Journal of Mathematics
1 Mathematics of Computation
1 Reviews in Mathematical Physics
1 Journal of Geometry and Physics
1 Beiträge zur Algebra und Geometrie
1 Annales de l’Institut Fourier
1 Archiv der Mathematik
1 Computing
1 Journal of Functional Analysis
1 Journal of Mathematical Economics
1 Journal of Soviet Mathematics
1 Journal of Statistical Planning and Inference
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Mechanics Research Communications
1 Pacific Journal of Mathematics
1 SIAM Journal on Control and Optimization
1 SIAM Journal on Numerical Analysis
1 European Journal of Combinatorics
1 SIAM Journal on Matrix Analysis and Applications
1 Computational Mathematics and Modeling
1 Annals of Operations Research
1 Japan Journal of Industrial and Applied Mathematics
1 International Journal of Algebra and Computation
1 Applications of Mathematics
1 Geometric and Functional Analysis. GAFA
1 European Journal of Operational Research
1 International Journal of Computer Mathematics
1 Stochastic Processes and their Applications
1 Journal of Algebraic Combinatorics
1 Journal of Mathematical Sciences (New York)
1 Top
1 INFORMS Journal on Computing
1 Abstract and Applied Analysis
1 Optimization Methods & Software
1 Open Systems & Information Dynamics
1 New Journal of Physics
1 Probability in the Engineering and Informational Sciences
1 Annales Henri Poincaré
1 Foundations of Computational Mathematics
1 Quantum Information Processing
1 Journal of Algebra and its Applications
1 Mediterranean Journal of Mathematics
1 Discrete Optimization
1 Bulletin of the American Mathematical Society
1 Chebyshevskiĭ Sbornik
1 Journal of Computational and Graphical Statistics
1 Numerical Algebra, Control and Optimization
1 Mathematical Control and Related Fields
1 ISRN Algebra
1 International Journal of Applied and Computational Mathematics
1 International Journal of Systems Science. Principles and Applications of Systems and Integration
...and 1 more Serials
all top 5

Cited in 46 Fields

195 Linear and multilinear algebra; matrix theory (15-XX)
62 Operations research, mathematical programming (90-XX)
51 Systems theory; control (93-XX)
40 Numerical analysis (65-XX)
36 Convex and discrete geometry (52-XX)
34 Associative rings and algebras (16-XX)
29 Operator theory (47-XX)
23 Combinatorics (05-XX)
20 Functional analysis (46-XX)
18 Quantum theory (81-XX)
17 Ordinary differential equations (34-XX)
14 Order, lattices, ordered algebraic structures (06-XX)
11 Group theory and generalizations (20-XX)
11 Probability theory and stochastic processes (60-XX)
9 Nonassociative rings and algebras (17-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
6 Geometry (51-XX)
6 Statistics (62-XX)
4 Computer science (68-XX)
4 Information and communication theory, circuits (94-XX)
3 General and overarching topics; collections (00-XX)
3 Field theory and polynomials (12-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Differential geometry (53-XX)
3 Biology and other natural sciences (92-XX)
2 History and biography (01-XX)
2 Number theory (11-XX)
2 Topological groups, Lie groups (22-XX)
2 Partial differential equations (35-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Category theory; homological algebra (18-XX)
1 Real functions (26-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of particles and systems (70-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)
1 Mathematics education (97-XX)

Citations by Year