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Galántai, Aurél

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Author ID: galantai.aurel Recent zbMATH articles by "Galántai, Aurél"
Published as: Galántai, A.; Galántai, Aurél; Galantai, A.; Galantai, Aurel; Galántai, Aurel
Homepage: https://doktori.hu/index.php?menuid=192&lang=EN&sz_ID=3786
External Links: Google Scholar · dblp
Documents Indexed: 65 Publications since 1975, including 2 Books
7 Contributions as Editor
Reviewing Activity: 227 Reviews
Co-Authors: 11 Co-Authors with 22 Joint Publications
233 Co-Co-Authors
all top 5

Co-Authors

49 single-authored
7 Szeidl, György
6 Szabó, Barna Aladar
5 Abaffy, Jozsef
5 Hegedus, Csaba J.
3 Balla, Katalin
2 Faragó, István
1 Csendes, Tibor
1 Jeney, András
1 Spedicato, Emilio
1 Szeidl, Laszlo
1 Viscsek, M.
all top 5

Serials

8 Computers & Mathematics with Applications
8 Alkalmazott Matematikai Lapok. A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei
4 Numerical Algorithms
4 Publications of the University of Miskolc. Series D. Natural Sciences. Mathematics
3 Linear and Multilinear Algebra
3 Computer Assisted Mechanics and Engineering Sciences
3 Mathematical Notes (Miskolc)
2 Journal of Computational and Applied Mathematics
2 Numerische Mathematik
2 Bulletins for Applied Mathematics
2 CEJOR. Central European Journal of Operations Research
2 Journal of Computational and Applied Mechanics
2 Beiträge zur Numerischen Mathematik
1 Journal of Mathematical Analysis and Applications
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Mathematics of Computation
1 Annals of the Institute of Statistical Mathematics
1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica
1 Journal of Optimization Theory and Applications
1 Publicationes Mathematicae Debrecen
1 Studia Scientiarum Mathematicarum Hungarica
1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica
1 Acta Mathematica Hungarica
1 Computational Optimization and Applications
1 Numerical Linear Algebra with Applications
1 International Journal of Mathematics, Game Theory and Algebra
1 Neliniĭni Kolyvannya
1 Seminarbericht, Humboldt-Universität zu Berlin, Sektion Mathematik
1 Advances in Mathematics (Dordrecht)
all top 5

Fields

58 Numerical analysis (65-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
8 Ordinary differential equations (34-XX)
6 General and overarching topics; collections (00-XX)
6 Mechanics of deformable solids (74-XX)
6 Operations research, mathematical programming (90-XX)
5 History and biography (01-XX)
3 Fluid mechanics (76-XX)
2 Operator theory (47-XX)
2 Convex and discrete geometry (52-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Partial differential equations (35-XX)
1 Approximations and expansions (41-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

38 Publications have been cited 303 times in 246 Documents Cited by ▼ Year ▼
Projectors and projection methods. Zbl 1055.65043
Galántai, Aurél
68
2004
Subspaces, angles and pairs of orthogonal projections. Zbl 1151.15005
Galántai, A.
31
2008
The theory of Newton’s method. Zbl 0965.65080
Galántai, A.
26
2000
The local convergence of ABS methods for nonlinear algebraic equations. Zbl 0609.65038
Abaffy, Jozsef; Galantai, Aurel; Spedicato, Emilio
21
1987
Jordan’s principal angles in complex vector spaces. Zbl 1174.15300
Galántai, A.; Hegedűs, Cs. J.
21
2006
On the rate of convergence of the alternating projection method in finite dimensional spaces. Zbl 1074.65059
Galántai, A.
18
2005
Properties and construction of NCP functions. Zbl 1282.90194
Galántai, Aurél
16
2012
Rank reduction: theory and applications. Zbl 1069.15002
Galántai, A.
8
2003
Conjugate direction methods for linear and nonlinear systems of algebraic equations. Zbl 0639.65022
Abaffy, J.; Galántai, A.
7
1988
Perturbation bounds for polynomials. Zbl 1140.65037
Galántai, A.; Hegedűs, C. J.
7
2008
A note on the generalized rank reduction. Zbl 1135.15300
Galántai, A.
6
2007
Rank reduction, factorization and conjugation. Zbl 0988.65034
Galántai, A.
6
2001
A study of Auchmuty’s error estimate. Zbl 0985.65039
Galántai, A.
6
2001
Always convergent iteration methods for nonlinear equations of Lipschitz functions. Zbl 1319.65036
Galántai, Aurel; Abaffy, Jozsef
6
2015
A study of accelerated Newton methods for multiple polynomial roots. Zbl 1197.65047
Galántai, Aurél; Hegedűs, Csaba J.
5
2010
Quasi-Newton ABS methods for solving nonlinear algebraic systems of equations. Zbl 0849.65032
Galántai, A.; Jeney, A.
5
1996
The rank reduction procedure of Egerváry. Zbl 1204.15004
Galántai, Aurél
5
2010
Perturbations of triangular matrix factorizations. Zbl 1040.65028
Galántai, A.
4
2002
Rank reduction: theory and applications. Zbl 1077.15003
Galántai, A.
4
2003
Perturbation bounds for triangular and full rank factorizations. Zbl 1087.65023
Galántai, A.
3
2005
Always convergent methods for nonlinear equations of several variables. Zbl 1451.65063
Galántai, A.
3
2018
Rank reduction and bordered inversion. Zbl 1004.15010
Galántai, Aurél
3
2001
A note on projector norms. Zbl 0926.15024
Galántai, A.
3
1998
Always convergent methods for solving nonlinear equations. Zbl 1349.65166
Galántai, Aurél
3
2015
Hyman’s method revisited. Zbl 1181.65053
Galántai, A.; Hegedűs, C. J.
2
2009
Analysis of error propagation in the ABS class for linear systems. Zbl 0768.65007
Galantai, A.
2
1991
Componentwise perturbation bounds for the \(LU\), \(LDU\) and \(LDL^T\) decompositions. Zbl 0973.65034
Galántai, Aurél
2
2000
Error estimations for conjugate direction methods. Zbl 0393.65029
Abaffy, Jozsef; Galantai, Aurel
2
1979
Convergence theorems for the nonlinear ABS-methods. Zbl 0751.65034
Galántai, A.
1
1991
An \(A\)-stable three-level method for the Galerkin solution of quasilinear parabolic problems. Zbl 0705.65068
Faragó, I.; Galántai, A.
1
1988
On the optimization of the Lehmer-Schur method. Zbl 0615.65070
Galántai, Aurél
1
1985
Block ABS methods for nonlinear systems of algebraic equations. Zbl 0701.65041
Galantai, A.
1
1990
Rank reduction and conjugation. Zbl 0969.65024
Galántai, Aurél
1
2000
Parallel ABS projection methods for linear and nonlinear systems with block arrowhead structure. Zbl 0945.65056
Galántai, A.
1
1999
The comparison of numerical methods for solving polynomial equations. Zbl 0375.65026
Galantai, Aurel
1
1978
Convergence theorems for the Nelder-Mead method. Zbl 1474.65165
Galántai, Aurél
1
2020
Remarks on the optimization of the Lehmer-Schur method. Zbl 0782.65065
Galántai, A.
1
1989
Perturbations of invariant subspaces of unreduced Hessenberg matrices. Zbl 1319.65026
Galántai, A.; Hegedüs, C. J.
1
2013
Convergence theorems for the Nelder-Mead method. Zbl 1474.65165
Galántai, Aurél
1
2020
Always convergent methods for nonlinear equations of several variables. Zbl 1451.65063
Galántai, A.
3
2018
Always convergent iteration methods for nonlinear equations of Lipschitz functions. Zbl 1319.65036
Galántai, Aurel; Abaffy, Jozsef
6
2015
Always convergent methods for solving nonlinear equations. Zbl 1349.65166
Galántai, Aurél
3
2015
Perturbations of invariant subspaces of unreduced Hessenberg matrices. Zbl 1319.65026
Galántai, A.; Hegedüs, C. J.
1
2013
Properties and construction of NCP functions. Zbl 1282.90194
Galántai, Aurél
16
2012
A study of accelerated Newton methods for multiple polynomial roots. Zbl 1197.65047
Galántai, Aurél; Hegedűs, Csaba J.
5
2010
The rank reduction procedure of Egerváry. Zbl 1204.15004
Galántai, Aurél
5
2010
Hyman’s method revisited. Zbl 1181.65053
Galántai, A.; Hegedűs, C. J.
2
2009
Subspaces, angles and pairs of orthogonal projections. Zbl 1151.15005
Galántai, A.
31
2008
Perturbation bounds for polynomials. Zbl 1140.65037
Galántai, A.; Hegedűs, C. J.
7
2008
A note on the generalized rank reduction. Zbl 1135.15300
Galántai, A.
6
2007
Jordan’s principal angles in complex vector spaces. Zbl 1174.15300
Galántai, A.; Hegedűs, Cs. J.
21
2006
On the rate of convergence of the alternating projection method in finite dimensional spaces. Zbl 1074.65059
Galántai, A.
18
2005
Perturbation bounds for triangular and full rank factorizations. Zbl 1087.65023
Galántai, A.
3
2005
Projectors and projection methods. Zbl 1055.65043
Galántai, Aurél
68
2004
Rank reduction: theory and applications. Zbl 1069.15002
Galántai, A.
8
2003
Rank reduction: theory and applications. Zbl 1077.15003
Galántai, A.
4
2003
Perturbations of triangular matrix factorizations. Zbl 1040.65028
Galántai, A.
4
2002
Rank reduction, factorization and conjugation. Zbl 0988.65034
Galántai, A.
6
2001
A study of Auchmuty’s error estimate. Zbl 0985.65039
Galántai, A.
6
2001
Rank reduction and bordered inversion. Zbl 1004.15010
Galántai, Aurél
3
2001
The theory of Newton’s method. Zbl 0965.65080
Galántai, A.
26
2000
Componentwise perturbation bounds for the \(LU\), \(LDU\) and \(LDL^T\) decompositions. Zbl 0973.65034
Galántai, Aurél
2
2000
Rank reduction and conjugation. Zbl 0969.65024
Galántai, Aurél
1
2000
Parallel ABS projection methods for linear and nonlinear systems with block arrowhead structure. Zbl 0945.65056
Galántai, A.
1
1999
A note on projector norms. Zbl 0926.15024
Galántai, A.
3
1998
Quasi-Newton ABS methods for solving nonlinear algebraic systems of equations. Zbl 0849.65032
Galántai, A.; Jeney, A.
5
1996
Analysis of error propagation in the ABS class for linear systems. Zbl 0768.65007
Galantai, A.
2
1991
Convergence theorems for the nonlinear ABS-methods. Zbl 0751.65034
Galántai, A.
1
1991
Block ABS methods for nonlinear systems of algebraic equations. Zbl 0701.65041
Galantai, A.
1
1990
Remarks on the optimization of the Lehmer-Schur method. Zbl 0782.65065
Galántai, A.
1
1989
Conjugate direction methods for linear and nonlinear systems of algebraic equations. Zbl 0639.65022
Abaffy, J.; Galántai, A.
7
1988
An \(A\)-stable three-level method for the Galerkin solution of quasilinear parabolic problems. Zbl 0705.65068
Faragó, I.; Galántai, A.
1
1988
The local convergence of ABS methods for nonlinear algebraic equations. Zbl 0609.65038
Abaffy, Jozsef; Galantai, Aurel; Spedicato, Emilio
21
1987
On the optimization of the Lehmer-Schur method. Zbl 0615.65070
Galántai, Aurél
1
1985
Error estimations for conjugate direction methods. Zbl 0393.65029
Abaffy, Jozsef; Galantai, Aurel
2
1979
The comparison of numerical methods for solving polynomial equations. Zbl 0375.65026
Galantai, Aurel
1
1978
all cited Publications top 5 cited Publications
all top 5

Cited by 350 Authors

13 Galántai, Aurél
6 Baksalary, Oskar Maria
6 Chen, Jein-Shan
6 Lamichhane, Bishnu Prasad
6 Mahdavi-Amiri, Nezam
6 Spedicato, Emilio
6 Trenkler, Götz
6 Wei, Yimin
5 Benítez Lopez, Julio
5 Corach, Gustavo
5 Golpar-Raboky, Effat
5 Tian, Yongge
4 Mehlitz, Patrick
4 Needell, Deanna
4 Steinerberger, Stefan
3 Brezinski, Claude
3 Candela, Vicente F.
3 Censor, Yair
3 Huang, Zhijian
3 Liu, Xiaoji
3 Rakočević, Vladimir
3 Reich, Simeon
3 Soleymani, Fazlollah
3 Takane, Yoshio
3 Wu, Wenting
3 Xia, Zunquan
3 Yin, Junfeng
3 Zaslavski, Alexander Yakovlevich
3 Zhou, Weiqi
2 Abaffy, Jozsef
2 Alcantara, Jan Harold
2 Androulakis, Emmanouil
2 Argyros, Ioannis Konstantinos
2 Bai, Zhongzhi
2 Batista, Victor M. O.
2 Bodon, Elena
2 Borisov, Lev A.
2 Böttcher, Albrecht
2 Brandão, Tauan L. A.
2 Burtscheidt, Johanna
2 Chang, Yulin
2 Chen, Zhi
2 Claus, Matthias
2 Cvetković-Ilić, Dragana S.
2 Deng, Chunyuan
2 Deng, Naiyang
2 Du, Yishu
2 Du, Yongqiang
2 Effati, Sohrab
2 Feng, Wenying
2 Fischle, Andreas
2 Galvis, Juan
2 García Ramos, Luis
2 Gehér, György Pál
2 Gingold, Harry
2 Gupta, Dharmendra Kumar
2 Hancova, Martina
2 Hayami, Ken
2 Hegedus, Csaba J.
2 Hu, Zhongyong
2 Huang, Chien-Hao
2 Jiang, Xianglong
2 Koukouvinos, Christos
2 Maestripieri, Alejandra L.
2 Mandolesi, André L. G.
2 Miri, S. Mohsen
2 Morikuni, Keiichi
2 Nabben, Reinhard
2 Neff, Patrizio
2 Noethen, Florian
2 Oswald, Peter
2 Parhi, Sanjaya Kumar
2 Peris, Rosa M.
2 Potschka, Andreas
2 Rodriguez, Giuseppe
2 Seatzu, Sebastiano
2 Šemrl, Peter
2 Spitkovsky, Ilya Matvey
2 Vilca Rodríguez, José L.
2 Vonta, Filia
2 Xiang, Hua
2 Yanai, Haruo
2 Zalas, Rafał
2 Zhang, Guang
2 Zheng, Ning
1 Aharoni, Ron
1 Albahboh, Hussin
1 Alexopoulos, S. V.
1 Ali, Istkhar
1 Antezana, Jorge
1 Arias, M. Laura
1 Asadbeigi, Leila
1 Babajee, Diyashvir Kreetee Rajiv
1 Babolian, Esmail
1 Bachmann, Bernhard
1 Băleanu, Dumitru I.
1 Batra, Prashant
1 Beltrametti, Mauro C.
1 Ben Gharbia, Ibtihel
1 Benahmed, Boubakeur
...and 250 more Authors
all top 5

Cited in 110 Serials

30 Linear Algebra and its Applications
16 Numerical Algorithms
13 Journal of Computational and Applied Mathematics
9 Applied Mathematics and Computation
8 Journal of Optimization Theory and Applications
6 Journal of Mathematical Analysis and Applications
6 Linear and Multilinear Algebra
5 Computers & Mathematics with Applications
5 SIAM Journal on Matrix Analysis and Applications
5 Computational Optimization and Applications
4 Applied Mathematics Letters
4 Optimization Methods & Software
3 Mathematics of Computation
3 Calcolo
3 Computing
3 Journal of Functional Analysis
3 Operations Research Letters
3 SIAM Journal on Optimization
3 SIAM Journal on Scientific Computing
3 Numerical Linear Algebra with Applications
3 Journal of Applied Mathematics and Computing
2 Inverse Problems
2 Journal of Engineering Mathematics
2 Annals of the Institute of Statistical Mathematics
2 Automatica
2 Journal of Scientific Computing
2 International Journal of Computer Mathematics
2 Mathematical Programming. Series A. Series B
2 Applied and Computational Harmonic Analysis
2 Computational and Applied Mathematics
2 Advances in Applied Clifford Algebras
2 ETNA. Electronic Transactions on Numerical Analysis
2 The Journal of Fourier Analysis and Applications
2 CEJOR. Central European Journal of Operations Research
2 Science China. Mathematics
2 Special Matrices
2 SIAM Journal on Applied Algebra and Geometry
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of Computational Physics
1 Journal of the Franklin Institute
1 Mathematical Methods in the Applied Sciences
1 Metrika
1 Rocky Mountain Journal of Mathematics
1 Acta Scientiarum Mathematicarum
1 Advances in Mathematics
1 BIT
1 Integral Equations and Operator Theory
1 International Statistical Review
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 Quarterly of Applied Mathematics
1 SIAM Journal on Numerical Analysis
1 Statistica Neerlandica
1 Theoretical Computer Science
1 Acta Mathematica Hungarica
1 Bulletin of the Iranian Mathematical Society
1 Physica D
1 Applied Numerical Mathematics
1 Optimization
1 Journal of Symbolic Computation
1 Journal of Complexity
1 Constructive Approximation
1 Discrete & Computational Geometry
1 Applications of Mathematics
1 Annals of Physics
1 Communications in Statistics. Simulation and Computation
1 Applied Mathematics. Series B (English Edition)
1 Statistical Papers
1 Journal of Mathematical Sciences (New York)
1 Journal of the Egyptian Mathematical Society
1 Electronic Journal of Probability
1 Mathematical Problems in Engineering
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Abstract and Applied Analysis
1 Positivity
1 Journal of Inequalities and Applications
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Chaos
1 Revista Matemática Complutense
1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki
1 Journal of Applied Statistics
1 Journal of Interdisciplinary Mathematics
1 Journal of High Energy Physics
1 Lobachevskii Journal of Mathematics
1 DGDS. Differential Geometry – Dynamical Systems
1 Algebraic & Geometric Topology
1 Computational Methods in Applied Mathematics
1 Journal of Applied Mathematics
1 SIAM Journal on Applied Dynamical Systems
1 Mathematics in Computer Science
1 Journal of Fixed Point Theory and Applications
1 Frontiers of Mathematics in China
1 Optimization Letters
1 Logical Methods in Computer Science
1 SIAM Journal on Imaging Sciences
1 Banach Journal of Mathematical Analysis
1 Asian-European Journal of Mathematics
1 Advances in Numerical Analysis
1 Functional Analysis, Approximation and Computation
1 Afrika Matematika
...and 10 more Serials
all top 5

Cited in 46 Fields

140 Numerical analysis (65-XX)
80 Linear and multilinear algebra; matrix theory (15-XX)
40 Operations research, mathematical programming (90-XX)
35 Operator theory (47-XX)
13 Functional analysis (46-XX)
12 Computer science (68-XX)
9 Statistics (62-XX)
8 Approximations and expansions (41-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
6 Ordinary differential equations (34-XX)
6 Partial differential equations (35-XX)
6 Geometry (51-XX)
5 Associative rings and algebras (16-XX)
5 Probability theory and stochastic processes (60-XX)
5 Mechanics of deformable solids (74-XX)
4 Algebraic geometry (14-XX)
4 Functions of a complex variable (30-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Information and communication theory, circuits (94-XX)
3 Number theory (11-XX)
3 Real functions (26-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Quantum theory (81-XX)
2 History and biography (01-XX)
2 Topological groups, Lie groups (22-XX)
2 Difference and functional equations (39-XX)
2 Integral equations (45-XX)
2 Differential geometry (53-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Biology and other natural sciences (92-XX)
2 Systems theory; control (93-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Field theory and polynomials (12-XX)
1 Measure and integration (28-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of particles and systems (70-XX)
1 Fluid mechanics (76-XX)

Citations by Year