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Author ID: stengle.gilbert Recent zbMATH articles by "Stengle, Gilbert"
Published as: Stengle, Gilbert; Stengle, G.
External Links: MGP · Wikidata
Documents Indexed: 35 Publications since 1967
Co-Authors: 11 Co-Authors with 17 Joint Publications
239 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

26 Publications have been cited 270 times in 217 Documents Cited by Year
A Nullstellensatz and a Positivstellensatz in semialgebraic geometry. Zbl 0253.14001
Stengle, Gilbert
113
1973
The asymptotic probability of a tie for first place. Zbl 0787.60029
Eisenberg, Bennett; Stengle, Gilbert; Strang, Gilbert
29
1993
A necessary and sufficient condition for the existence of the limiting probability of a tie for first place. Zbl 0823.60029
Baryshnikov, Yuliy; Eisenberg, Bennett; Stengle, Gilbert
24
1995
Error analysis of a randomized numerical method. Zbl 0817.65058
Stengle, Gilbert
20
1995
Numerical methods for systems with measurable coefficients. Zbl 0725.65071
Stengle, Gilbert
18
1990
Complexity estimates for the Schmüdgen Positivstellensatz. Zbl 0889.14025
Stengle, Gilbert
17
1996
Integral solution of Hilbert’s seventeenth problem. Zbl 0403.10008
Stengle, Gilbert
6
1979
Expected number of distinct part sizes in a random integer composition. Zbl 1005.11054
Hitczenko, P.; Stengle, G.
5
2000
Some new Vapnik-Chervonenkis classes. Zbl 0697.60026
Stengle, G.; Yukich, J. E.
5
1989
Convex polarities over ordered fields. Zbl 1189.52006
Stengle, Gilbert; McEnerney, James; Robson, Robert
4
2010
A semialgebraic closure for commutative algebra. Zbl 1213.13009
Stengle, G.; McEnerney, J.
3
2011
The spherical spectrum of a graded ring. Zbl 0821.14003
Stengle, Gilbert; Yousef, Hasan
3
1994
The nonreduced order spectrum of a commutative ring. Zbl 0941.14023
McEnerney, James; Stengle, Gilbert
3
1997
Algebraic theory of differential inequalities. Zbl 0743.14042
Stengle, Gilbert
2
1991
Uniform asymptotic solution of second order linear differential equations without turning varieties. Zbl 0176.38804
Stengle, G.
2
1969
A new basis for uniform asymptotic solution of differential equations containing one or several parameters. Zbl 0233.34068
Stengle, Gilbert
2
1971
A divergence theorem for Gaussian stochastic process expectations. Zbl 0157.24501
Stengle, G.
2
1968
On the Mostowski number. Zbl 0668.14015
Bröcker, Ludwig; Stengle, Gilbert
2
1990
Chebyshev interpolation with approximate nodes of unrestricted multiplicity. Zbl 0684.41002
Stengle, Gilbert
2
1989
A measure for semialgebraic sets related to Boolean complexity. Zbl 0687.14020
Stengle, Gilbert
2
1989
Alternative evidence for nonnegativity. Zbl 1157.14314
McEnerney, J.; Stengle, G.
1
2007
Minimizing the probability of a tie for first place. Zbl 0854.60031
Eisenberg, Bennett; Stengle, Gilbert
1
1996
Asymptotic estimates for the adiabatic invariance of a simple oscillator. Zbl 0355.34046
Stengle, Gilbert
1
1977
Reduction of linear differential systems to Arnold canonical form. Zbl 0704.34008
Stengle, Gilbert
1
1989
Normal forms for analytic matrix valued functions. Zbl 0225.30055
Khabbaz, Samir; Stengle, Gilbert
1
1971
A lower bound for the complexity of separating functions. Zbl 0583.14007
Stengle, Gilbert
1
1984
A semialgebraic closure for commutative algebra. Zbl 1213.13009
Stengle, G.; McEnerney, J.
3
2011
Convex polarities over ordered fields. Zbl 1189.52006
Stengle, Gilbert; McEnerney, James; Robson, Robert
4
2010
Alternative evidence for nonnegativity. Zbl 1157.14314
McEnerney, J.; Stengle, G.
1
2007
Expected number of distinct part sizes in a random integer composition. Zbl 1005.11054
Hitczenko, P.; Stengle, G.
5
2000
The nonreduced order spectrum of a commutative ring. Zbl 0941.14023
McEnerney, James; Stengle, Gilbert
3
1997
Complexity estimates for the Schmüdgen Positivstellensatz. Zbl 0889.14025
Stengle, Gilbert
17
1996
Minimizing the probability of a tie for first place. Zbl 0854.60031
Eisenberg, Bennett; Stengle, Gilbert
1
1996
A necessary and sufficient condition for the existence of the limiting probability of a tie for first place. Zbl 0823.60029
Baryshnikov, Yuliy; Eisenberg, Bennett; Stengle, Gilbert
24
1995
Error analysis of a randomized numerical method. Zbl 0817.65058
Stengle, Gilbert
20
1995
The spherical spectrum of a graded ring. Zbl 0821.14003
Stengle, Gilbert; Yousef, Hasan
3
1994
The asymptotic probability of a tie for first place. Zbl 0787.60029
Eisenberg, Bennett; Stengle, Gilbert; Strang, Gilbert
29
1993
Algebraic theory of differential inequalities. Zbl 0743.14042
Stengle, Gilbert
2
1991
Numerical methods for systems with measurable coefficients. Zbl 0725.65071
Stengle, Gilbert
18
1990
On the Mostowski number. Zbl 0668.14015
Bröcker, Ludwig; Stengle, Gilbert
2
1990
Some new Vapnik-Chervonenkis classes. Zbl 0697.60026
Stengle, G.; Yukich, J. E.
5
1989
Chebyshev interpolation with approximate nodes of unrestricted multiplicity. Zbl 0684.41002
Stengle, Gilbert
2
1989
A measure for semialgebraic sets related to Boolean complexity. Zbl 0687.14020
Stengle, Gilbert
2
1989
Reduction of linear differential systems to Arnold canonical form. Zbl 0704.34008
Stengle, Gilbert
1
1989
A lower bound for the complexity of separating functions. Zbl 0583.14007
Stengle, Gilbert
1
1984
Integral solution of Hilbert’s seventeenth problem. Zbl 0403.10008
Stengle, Gilbert
6
1979
Asymptotic estimates for the adiabatic invariance of a simple oscillator. Zbl 0355.34046
Stengle, Gilbert
1
1977
A Nullstellensatz and a Positivstellensatz in semialgebraic geometry. Zbl 0253.14001
Stengle, Gilbert
113
1973
A new basis for uniform asymptotic solution of differential equations containing one or several parameters. Zbl 0233.34068
Stengle, Gilbert
2
1971
Normal forms for analytic matrix valued functions. Zbl 0225.30055
Khabbaz, Samir; Stengle, Gilbert
1
1971
Uniform asymptotic solution of second order linear differential equations without turning varieties. Zbl 0176.38804
Stengle, G.
2
1969
A divergence theorem for Gaussian stochastic process expectations. Zbl 0157.24501
Stengle, G.
2
1968
all top 5

Cited by 307 Authors

10 Stengle, Gilbert
6 Lasserre, Jean-Bernard
5 Dembińska, Anna
5 McEnerney, James
5 Nie, Jiawang
5 Przybyłowicz, Paweł
4 Ahmadi, Amir Ali
4 Bochacik, Tomasz
4 Chesi, Graziano
4 Cimprič, Jaka
4 Fernando, José F.
4 Gnedin, Alexander V.
4 Lombardi, Henri
4 Perrucci, Daniel
3 Archibald, Margaret
3 Demmel, James Weldon
3 Eisenberg, Bennett
3 Knopfmacher, Arnold
3 Lê Công Trình
3 Lécot, Christian
3 Liu, Kairong
3 Magron, Victor
3 Moore, Cristopher
3 Qi, Yongcheng
3 Roy, Marie-Françoise
3 Schweighofer, Markus
3 She, Zhikun
3 Stepanov, Aleksei Vasil’evich
3 Ueno, Carlos
2 Ahbe, Eva
2 Akbari, Masoumeh
2 Athreya, Jayadev S.
2 Balakrishnan, Narayanaswamy
2 Baldi, Lorenzo
2 Banks, Jess
2 Blecher, Aubrey
2 Chandrasekaran, Venkat
2 Chen, Mingshuai
2 Cotorruelo, Andres
2 Escorcielo, Paula
2 Garone, Emanuele
2 Grigor’ev, Dmitriĭ Yur’evich
2 Henrion, Didier
2 Hitczenko, Paweł
2 Iannelli, Andrea
2 Jasiński, Krzysztof
2 Jentzen, Arnulf
2 Kainhofer, Reinhold F.
2 Kapur, Deepak
2 Kleinberg, Robert D.
2 Klep, Igor
2 Kojima, Kensuke
2 Kruse, Raphael
2 Kuhlmann, Salma
2 Laurent, Monique
2 Li, Yun
2 Majumdar, Anirudha
2 Monnier, Jean-Philippe
2 Morkisz, Paweł M.
2 Pakes, Anthony G.
2 Peet, Matthew M.
2 Pitarch, José Luis
2 Powers, Victoria Ann
2 Prodinger, Helmut
2 Putinar, Mihai
2 Safey El Din, Mohab
2 Sala, Antonio
2 Scheiderer, Claus
2 Schötz, Matthias
2 Scowcroft, Philip
2 Slot, Lucas
2 Smith, Roy S.
2 Stuart, Andrew M.
2 Suenaga, Kohei
2 Toh, Kim Chuan
2 Vinnikov, Victor L.
2 Zeng, Guangxing
2 Zhan, Naijun
2 Zhi, Lihong
1 Acquistapace, Francesca
1 Ahmadi, Mohamadreza
1 Allamigeon, Xavier
1 An, Jie
1 Andradas, Carlos
1 Astrauskas, Arvydas
1 Athreya, Krishna Balasundaram
1 Atserias, Albert
1 Averkov, Gennadiy
1 Bach, Francis R.
1 Bai, Zhi-Dong
1 Bartosiewicz, Zbigniew
1 Baryshnikov, Yuliy M.
1 Bauermeister, Hartmut
1 Becker, Eberhard
1 Bembé, Daniel
1 Bencheikh, Oumaima
1 Berkholz, Christoph
1 Bertrand, Frédéric
1 Besson, Frédéric
1 Birgin, Ernesto G.
...and 207 more Authors
all top 5

Cited in 114 Serials

14 Statistics & Probability Letters
12 Journal of Pure and Applied Algebra
7 Automatica
6 Journal of Complexity
5 Communications in Algebra
5 Mathematical Programming. Series A. Series B
4 Journal of Computational and Applied Mathematics
4 Transactions of the American Mathematical Society
4 Annals of Pure and Applied Logic
3 Journal of Algebra
3 Journal of Statistical Planning and Inference
3 Theoretical Computer Science
3 Statistics
3 Journal of Symbolic Computation
3 Discrete & Computational Geometry
3 Journal of Global Optimization
3 Positivity
3 SIAM Journal on Applied Algebra and Geometry
2 The Annals of Probability
2 Applied Mathematics and Computation
2 Memoirs of the American Mathematical Society
2 Systems & Control Letters
2 Journal of Theoretical Probability
2 The Annals of Applied Probability
2 Communications in Statistics. Theory and Methods
2 European Journal of Operational Research
2 International Journal of Robust and Nonlinear Control
2 SIAM Journal on Optimization
2 Discrete and Continuous Dynamical Systems. Series B
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Oberwolfach Reports
2 Optimization Letters
2 Statistics and Computing
1 Advances in Applied Probability
1 Archive for History of Exact Sciences
1 Bulletin of the Australian Mathematical Society
1 Communications in Mathematical Physics
1 International Journal of Systems Science
1 Journal of Mathematical Analysis and Applications
1 Metrika
1 Mathematics of Computation
1 Annales de l’Institut Fourier
1 Archiv der Mathematik
1 BIT
1 Calcolo
1 Demonstratio Mathematica
1 Geometriae Dedicata
1 Journal of Computer and System Sciences
1 Journal of Differential Equations
1 Journal of Functional Analysis
1 Journal of the Mathematical Society of Japan
1 Journal of Multivariate Analysis
1 Journal of Optimization Theory and Applications
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
1 Mathematics of Operations Research
1 Mathematische Zeitschrift
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Computing
1 SIAM Journal on Control and Optimization
1 SIAM Journal on Numerical Analysis
1 Studies in Applied Mathematics
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Stochastic Analysis and Applications
1 Applied Numerical Mathematics
1 Order
1 Asia-Pacific Journal of Operational Research
1 Applied Mathematics Letters
1 Journal of the American Mathematical Society
1 SIAM Journal on Discrete Mathematics
1 Science in China. Series A
1 Machine Learning
1 Random Structures & Algorithms
1 The Journal of Geometric Analysis
1 Numerical Algorithms
1 Annals of Physics
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Computational Complexity
1 Journal of Mathematical Sciences (New York)
1 Computational and Applied Mathematics
1 Mathematical Logic Quarterly (MLQ)
1 ETNA. Electronic Transactions on Numerical Analysis
1 Advances in Computational Mathematics
1 Monte Carlo Methods and Applications
1 European Journal of Control
1 Australian & New Zealand Journal of Statistics
1 Extremes
1 Probability in the Engineering and Informational Sciences
1 Econometric Theory
1 Integers
1 Advances in Geometry
1 Foundations of Computational Mathematics
1 Computational Methods in Applied Mathematics
1 SIAM Journal on Applied Dynamical Systems
1 Central European Journal of Mathematics
1 Journal of Algebra and its Applications
...and 14 more Serials
all top 5

Cited in 39 Fields

61 Algebraic geometry (14-XX)
49 Operations research, mathematical programming (90-XX)
42 Probability theory and stochastic processes (60-XX)
37 Commutative algebra (13-XX)
32 Numerical analysis (65-XX)
30 Computer science (68-XX)
26 Field theory and polynomials (12-XX)
23 Statistics (62-XX)
22 Systems theory; control (93-XX)
16 Mathematical logic and foundations (03-XX)
15 Ordinary differential equations (34-XX)
14 Number theory (11-XX)
11 Combinatorics (05-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
7 Functional analysis (46-XX)
7 Convex and discrete geometry (52-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
6 Real functions (26-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Operator theory (47-XX)
4 Associative rings and algebras (16-XX)
4 Approximations and expansions (41-XX)
3 Measure and integration (28-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Quantum theory (81-XX)
2 General and overarching topics; collections (00-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Integral transforms, operational calculus (44-XX)
2 Differential geometry (53-XX)
2 General topology (54-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Biology and other natural sciences (92-XX)
1 History and biography (01-XX)
1 Category theory; homological algebra (18-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)

Citations by Year

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