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## Barker, George Phillip

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 Author ID: barker.george-phillip Published as: Barker, G. P.; Barker, George P.; Barker, George Philip; Barker, George Phillip
 Documents Indexed: 55 Publications since 1968, including 2 Books Reviewing Activity: 130 Reviews
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#### Co-Authors

 17 single-authored 5 Akkurt, Mustafa 5 Tam, Bit-Shun 4 Akkurt, Emira 4 Schneider, Hans 4 Yang, Shangjun 2 Kezlan, Thomas P. 2 Plemmons, Robert James 2 Poole, George D. 2 Singh, Surjit Kumar 1 Berman, Abraham S. 1 Campbell, Stephen LaVern 1 Carlson, David Hilding 1 Conklin, Joyce Jaben 1 Davila, Norbil 1 Eifler, Larry Q. 1 Foran, James 1 Haertel, Raymond D. 1 Hill, Richard D. 1 Laidacker, Michael 1 Loewy, Raphael 1 Neumann-Coto, Max 1 Takane, Martha 1 Thompson, Alex 1 Turner, Robert E. L. 1 Wild, Marcel 1 Zhang, Ronghua
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#### Serials

 18 Linear Algebra and its Applications 6 Linear and Multilinear Algebra 2 Rocky Mountain Journal of Mathematics 2 Bulletin of the Calcutta Mathematical Society 2 Czechoslovak Mathematical Journal 2 SIAM Journal on Algebraic and Discrete Methods 1 American Mathematical Monthly 1 Mathematics Magazine 1 Archiv der Mathematik 1 Integral Equations and Operator Theory 1 The Journal of the Indian Mathematical Society. New Series 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Portugaliae Mathematica 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Southeast Asian Bulletin of Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 SIAM Journal on Applied Mathematics 1 Turkish Journal of Mathematics 1 Operators and Matrices 1 Dover Books on Advanced Mathematics
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#### Fields

 44 Linear and multilinear algebra; matrix theory (15-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 8 Associative rings and algebras (16-XX) 6 Convex and discrete geometry (52-XX) 5 Group theory and generalizations (20-XX) 4 Combinatorics (05-XX) 4 Operator theory (47-XX) 4 Numerical analysis (65-XX) 3 Functional analysis (46-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 General topology (54-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH

46 Publications have been cited 449 times in 327 Documents Cited by Year
Positive diagonal solutions to the Lyapunov equations. Zbl 0385.15006
Barker, G. P.; Berman, A.; Plemmons, R. J.
1978
Theory of cones. Zbl 0467.15002
Barker, George Phillip
1981
Cones of diagonally dominant matrices. Zbl 0283.52005
Barker, George Phillip; Carlson, David
1975
The lattice of faces of a finite dimensional cone. Zbl 0249.15010
Barker, George Phillip
1973
Algebraic Perron-Frobenius theory. Zbl 0311.15011
Barker, G. P.; Schneider, Hans
1975
On matrices having an invariant cone. Zbl 0238.15005
Barker, George Phillip
1972
On the completely positive and positive-semidefinite-preserving cones. Zbl 0534.15012
Barker, George Phillip; Hill, Richard D.; Haertel, Raymond D.
1984
A non-commutative spectral theorem. Zbl 0383.15006
Barker, G. P.; Eifler, L. Q.; Kezlan, T. P.
1978
Automorphisms of algebras of upper triangular matrices. Zbl 0674.16014
Barker, George Phillip; Kezlan, Thomas P.
1990
Convergent iterations for computing stationary distributions of Markov chains. Zbl 0617.65027
Barker, G. P.; Plemmons, R. J.
1986
The structure of cones of matrices. Zbl 0314.15009
Barker, George Philip; Loewy, Raphael
1975
Self-dual cones in Euclidean spaces. Zbl 0319.15012
Barker, George Phillip; Foran, James
1976
Matrices and linear algebra. Zbl 0182.04901
Schneider, H.; Barker, G. P.
1968
Slowly changing functions and their applications. Zbl 0388.30020
Singh, S. K.; Barker, G. P.
1977
Automorphism groups of algebras of triangular matrices. Zbl 0682.16021
Barker, George Phillip
1989
MP matrices. Zbl 0412.15005
Poole, G. D.; Barker, G. P.
1979
Some observations on the spectra of cone preserving maps. Zbl 0251.15019
Barker, G. P.; Turner, R. E. L.
1973
Structural matrix algebras and their lattices of invariant subspaces. Zbl 1068.15014
Akkurt, Mustafa; Barker, George Phillip; Wild, Marcel
2005
Graphs and irreducible cone preserving maps. Zbl 0754.05040
Tam, Bit-Shun; Barker, George Phillip
1992
Graphs for cone preserving maps. Zbl 0459.15012
Barker, George Philip; Tam, Bit-Shun
1981
Matricial norms over cones. Zbl 0251.15024
Barker, George Phillip
1973
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
1989
Projectionally exposed cones. Zbl 0614.52006
Barker, George Phillip; Laidacker, Michael; Poole, George
1987
Modular face lattices: Low dimensional cases. Zbl 0469.15001
Barker, George Phillip
1981
Generalizations of topheavy cones. Zbl 0429.15001
Barker, G. P.
1980
Monotone norms. Zbl 0229.15013
Barker, George Phillip
1972
Automorphisms of structural matrix algebras. Zbl 1312.15020
Akkurt, Mustafa; Akkurt, Emira; Barker, George P.
2013
Complete controllability and contractibility in multimodal systems. Zbl 0658.93011
Barker, G. P.; Conner, L. T. jun.; Stanford, D. P.
1988
Semi-iterative methods for singular M-matrices. Zbl 0648.65027
Barker, G. P.; Yang, S.-J.
1988
On the exponent of a primitive, minimally strong digraph. Zbl 0641.05020
Yang, Shangjun; Barker, George P.
1988
Cones of polynomials. Zbl 0631.52003
Barker, George P.; Thompson, Alex
1987
A geometric Gordan-Stiemke theorem. Zbl 0547.15008
Barker, G. P.; Tam, B. S.; Davila, Norbil
1984
Common solutions to the Lyapunov equations. Zbl 0354.15004
Barker, George Phillip
1977
Triangular matrices and the Cayley-Hamilton theorem. Zbl 0211.35201
Barker, G. P.
1971
Green’s $$*$$ relations in the semigroup of nonnegative matrices. Zbl 1075.20517
Zhang, Ronghua; Yang, Shangjun; Barker, George P.
1993
Reflexive algebras of matrices. Zbl 0578.15007
Barker, George Phillip; Conklin, Joyce Jaben
1985
Monotone norms and tensor products. Zbl 0339.15011
Barker, George Phillip
1976
Normal matrices and the Ljapunov equation. Zbl 0243.15009
Barker, George Phillip
1974
Jordan homomorphisms of the structural matrix algebras. Zbl 1361.15020
Akkurt, E.; Akkurt, M.; Barker, G. P.
2015
Complemented invariant subspaces of structural matrix algebras. Zbl 1283.15051
Akkurt, Mustafa; Akkurt, Emira; Barker, George Phillip
2013
Baer semirings and Baer $$*$$-semirings of cone-preserving maps. Zbl 0878.15009
Barker, George Phillip; Tam, Bit-Shun
1997
Applications of the joint angular field of values. Zbl 0518.15011
Barker, George Phillip
1984
Internal stability of two dimensional systems. Zbl 0534.15018
Barker, George Phillip; Campbell, Stephen L.
1983
On differential polynomials. Zbl 0452.30017
Barker, G. P.; Singh, Anand P.
1980
On asymptotic expansions for functions of matrix argument. Zbl 0413.41016
Luki, Yudell L.; Barker, G. P.
1979
Stochastic matrices over cones. Zbl 0281.15018
Barker, George Phillip
1974
Jordan homomorphisms of the structural matrix algebras. Zbl 1361.15020
Akkurt, E.; Akkurt, M.; Barker, G. P.
2015
Automorphisms of structural matrix algebras. Zbl 1312.15020
Akkurt, Mustafa; Akkurt, Emira; Barker, George P.
2013
Complemented invariant subspaces of structural matrix algebras. Zbl 1283.15051
Akkurt, Mustafa; Akkurt, Emira; Barker, George Phillip
2013
Structural matrix algebras and their lattices of invariant subspaces. Zbl 1068.15014
Akkurt, Mustafa; Barker, George Phillip; Wild, Marcel
2005
Baer semirings and Baer $$*$$-semirings of cone-preserving maps. Zbl 0878.15009
Barker, George Phillip; Tam, Bit-Shun
1997
Green’s $$*$$ relations in the semigroup of nonnegative matrices. Zbl 1075.20517
Zhang, Ronghua; Yang, Shangjun; Barker, George P.
1993
Graphs and irreducible cone preserving maps. Zbl 0754.05040
Tam, Bit-Shun; Barker, George Phillip
1992
Automorphisms of algebras of upper triangular matrices. Zbl 0674.16014
Barker, George Phillip; Kezlan, Thomas P.
1990
Automorphism groups of algebras of triangular matrices. Zbl 0682.16021
Barker, George Phillip
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
1989
Complete controllability and contractibility in multimodal systems. Zbl 0658.93011
Barker, G. P.; Conner, L. T. jun.; Stanford, D. P.
1988
Semi-iterative methods for singular M-matrices. Zbl 0648.65027
Barker, G. P.; Yang, S.-J.
1988
On the exponent of a primitive, minimally strong digraph. Zbl 0641.05020
Yang, Shangjun; Barker, George P.
1988
Projectionally exposed cones. Zbl 0614.52006
Barker, George Phillip; Laidacker, Michael; Poole, George
1987
Cones of polynomials. Zbl 0631.52003
Barker, George P.; Thompson, Alex
1987
Convergent iterations for computing stationary distributions of Markov chains. Zbl 0617.65027
Barker, G. P.; Plemmons, R. J.
1986
Reflexive algebras of matrices. Zbl 0578.15007
Barker, George Phillip; Conklin, Joyce Jaben
1985
On the completely positive and positive-semidefinite-preserving cones. Zbl 0534.15012
Barker, George Phillip; Hill, Richard D.; Haertel, Raymond D.
1984
A geometric Gordan-Stiemke theorem. Zbl 0547.15008
Barker, G. P.; Tam, B. S.; Davila, Norbil
1984
Applications of the joint angular field of values. Zbl 0518.15011
Barker, George Phillip
1984
Internal stability of two dimensional systems. Zbl 0534.15018
Barker, George Phillip; Campbell, Stephen L.
1983
Theory of cones. Zbl 0467.15002
Barker, George Phillip
1981
Graphs for cone preserving maps. Zbl 0459.15012
Barker, George Philip; Tam, Bit-Shun
1981
Modular face lattices: Low dimensional cases. Zbl 0469.15001
Barker, George Phillip
1981
Generalizations of topheavy cones. Zbl 0429.15001
Barker, G. P.
1980
On differential polynomials. Zbl 0452.30017
Barker, G. P.; Singh, Anand P.
1980
MP matrices. Zbl 0412.15005
Poole, G. D.; Barker, G. P.
1979
On asymptotic expansions for functions of matrix argument. Zbl 0413.41016
Luki, Yudell L.; Barker, G. P.
1979
Positive diagonal solutions to the Lyapunov equations. Zbl 0385.15006
Barker, G. P.; Berman, A.; Plemmons, R. J.
1978
A non-commutative spectral theorem. Zbl 0383.15006
Barker, G. P.; Eifler, L. Q.; Kezlan, T. P.
1978
Slowly changing functions and their applications. Zbl 0388.30020
Singh, S. K.; Barker, G. P.
1977
Common solutions to the Lyapunov equations. Zbl 0354.15004
Barker, George Phillip
1977
Self-dual cones in Euclidean spaces. Zbl 0319.15012
Barker, George Phillip; Foran, James
1976
Monotone norms and tensor products. Zbl 0339.15011
Barker, George Phillip
1976
Cones of diagonally dominant matrices. Zbl 0283.52005
Barker, George Phillip; Carlson, David
1975
Algebraic Perron-Frobenius theory. Zbl 0311.15011
Barker, G. P.; Schneider, Hans
1975
The structure of cones of matrices. Zbl 0314.15009
Barker, George Philip; Loewy, Raphael
1975
Normal matrices and the Ljapunov equation. Zbl 0243.15009
Barker, George Phillip
1974
Stochastic matrices over cones. Zbl 0281.15018
Barker, George Phillip
1974
The lattice of faces of a finite dimensional cone. Zbl 0249.15010
Barker, George Phillip
1973
Some observations on the spectra of cone preserving maps. Zbl 0251.15019
Barker, G. P.; Turner, R. E. L.
1973
Matricial norms over cones. Zbl 0251.15024
Barker, George Phillip
1973
On matrices having an invariant cone. Zbl 0238.15005
Barker, George Phillip
1972
Monotone norms. Zbl 0229.15013
Barker, George Phillip
1972
Triangular matrices and the Cayley-Hamilton theorem. Zbl 0211.35201
Barker, G. P.
1971
Matrices and linear algebra. Zbl 0182.04901
Schneider, H.; Barker, G. P.
1968
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#### Cited by 392 Authors

 16 Barker, George Phillip 15 Schneider, Hans 14 Hill, Richard D. 13 Tam, Bit-Shun 11 Seeger, Alberto 10 Loewy, Raphael 8 Berman, Abraham S. 8 Hershkowitz, Daniel 7 Tam, Bitshun 7 Torki, Mounir 6 Biswas, Tanmay 6 Kumar Datta, Sanjib 5 Neumann, Michael 5 Shasha, Dafna 5 Tarazaga, Pablo A. 5 Werner, Hans-Joachim 5 Wolkowicz, Henry 4 Jamiołkowski, Andrzej 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 Cain, Bryan E. 3 Gumus, Mehmet 3 Iochum, Bruno 3 Kaszkurewicz, Eugenius 3 Laurent, Monique 3 Matcovschi, Mihaela-Hanako 3 Maxson, Carlton J. 3 Pastravanu, Octavian C. 3 Pataki, Gábor 3 Plemmons, Robert James 3 Santesso, Paolo 3 Siler, Joseph R. 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 Bhattacharyya, Sarmila 2 Bhaya, Amit 2 Carlson, David Hilding 2 Coelho, Sônia P. 2 Cohen, Nir 2 Dăscălescu, Sorin 2 de Laat, David 2 Ferrero, Michel 2 Gribling, Sander 2 Hall, Georgina 2 Hartfiel, Darald J. 2 Hayden, Thomas L. 2 Hsu, Liu 2 Hwang, Suk-Geun 2 Ikramov, Saidkhakim Dododshanovich 2 Ito, Masaru 2 Johnson, Charles Royal 2 Jøndrup, Søren 2 Kamizawa, Takeo 2 King, Christopher K. 2 Kunicki, Catherine M. 2 Kushel’, O. Yu. 2 Laffey, Thomas J. 2 Lewkowicz, Izchak 2 Li, Chi-Kwong 2 Liberti, Leo 2 Lourenço, Bruno F. 2 Pastuszak, Grzegorz 2 Permenter, Frank 2 Pilz, Günter F. 2 Poole, George D. 2 Raydan, Marcos 2 Rodman, Leiba X. 2 Sánchez-Gómez, J. L. 2 Schneid, Josef 2 Sivakumar, Koratti Chengalrayan 2 Słowik, Roksana 2 Song, Yongzhong 2 Spitkovsky, Ilya Matvey 2 Ward, Robert C. 2 Weis, Stephan 2 Wells, James H. 2 Yang, Shangjun 2 Ycart, Bernard 2 Życzkowski, Karol 1 Aihara, Kazuyuki 1 Akkurt, Emira 1 Akkurt, Mustafa 1 Al-Safi, Sabri W. 1 Albaidani, Mashael M. 1 Albertini, Francesca 1 Ali, Sultan 1 Al’pin, Yurii A. 1 Amari, Shun-ichi ...and 292 more Authors
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#### Cited in 87 Serials

 151 Linear Algebra and its Applications 27 Linear and Multilinear Algebra 8 Systems & Control Letters 6 Automatica 6 Journal of Global Optimization 6 Mathematical Programming. Series A. Series B 5 Journal of Mathematical Analysis and Applications 4 Communications in Algebra 3 Journal of Mathematical Physics 3 Numerische Mathematik 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 Numerical Linear Algebra with Applications 2 Computers & Mathematics with Applications 2 Discrete Mathematics 2 International Journal of Systems Science 2 Beiträge zur Algebra und Geometrie 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 SIAM Journal on Algebraic and Discrete Methods 2 MCSS. Mathematics of Control, Signals, and Systems 2 Aequationes Mathematicae 2 SIAM Review 2 International Journal of Robust and Nonlinear Control 2 SIAM Journal on Optimization 2 Computational Optimization and Applications 2 Top 2 Journal of Convex Analysis 2 ELA. The Electronic Journal of Linear Algebra 2 International Journal of Quantum Information 2 Journal of Complex Analysis 1 Acta Informatica 1 Applicable Analysis 1 Discrete Applied Mathematics 1 International Journal of Theoretical Physics 1 Information Processing Letters 1 Journal of Computational Physics 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Computing 1 Fasciculi Mathematici 1 Journal of Functional Analysis 1 Journal of Soviet Mathematics 1 Journal of Statistical Planning and Inference 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Mechanics Research Communications 1 SIAM Journal on Control and Optimization 1 Computational Mathematics and Modeling 1 Annals of Operations Research 1 Japan Journal of Industrial and Applied Mathematics 1 European Journal of Operational Research 1 International Journal of Computer Mathematics 1 Stochastic Processes and their Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Computers and Mathematics with Applications. Part B 1 Abstract and Applied Analysis 1 Open Systems & Information Dynamics 1 New Journal of Physics 1 Probability in the Engineering and Informational Sciences 1 Foundations of Computational Mathematics 1 Applied Mathematics E-Notes 1 Quantum Information Processing 1 Mediterranean Journal of Mathematics 1 Discrete Optimization 1 Bulletin of the American Mathematical Society 1 Chebyshevskiĭ Sbornik 1 Journal of Physics A: Mathematical and Theoretical 1 Acta Universitatis Sapientiae. Mathematica 1 Set-Valued and Variational Analysis 1 Numerical Algebra, Control and Optimization 1 Mathematical Control and Related Fields 1 ISRN Algebra 1 Sahand Communications in Mathematical Analysis 1 International Journal of Applied and Computational Mathematics 1 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Advances in Operator Theory 1 Korean Journal of Mathematics 1 SIAM Journal on Applied Algebra and Geometry
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#### Cited in 41 Fields

 189 Linear and multilinear algebra; matrix theory (15-XX) 47 Operations research, mathematical programming (90-XX) 47 Systems theory; control (93-XX) 38 Numerical analysis (65-XX) 31 Convex and discrete geometry (52-XX) 29 Associative rings and algebras (16-XX) 27 Operator theory (47-XX) 19 Combinatorics (05-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 16 Ordinary differential equations (34-XX) 16 Functional analysis (46-XX) 12 Quantum theory (81-XX) 9 Functions of a complex variable (30-XX) 9 Probability theory and stochastic processes (60-XX) 8 Nonassociative rings and algebras (17-XX) 8 Group theory and generalizations (20-XX) 7 Geometry (51-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 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 History and biography (01-XX) 3 Field theory and polynomials (12-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Biology and other natural sciences (92-XX) 2 Number theory (11-XX) 2 Partial differential equations (35-XX) 2 Differential geometry (53-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-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)