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Argyros, Ioannis Konstantinos

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Author ID: argyros.ioannis-konstantinos Recent zbMATH articles by "Argyros, Ioannis Konstantinos"
Published as: Argyros, Ioannis K.; Argyros, I. K.; Argyros, Ioannis Konstantinos; Argyros, Ioannis; Argyros, I.; Argyros, Ioannis K. I.; Argyros, Ioannis. K.; Argyros, Ioannis A.; Argyros, K.
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Documents Indexed: 1,123 Publications since 1985, including 18 Books
Reviewing Activity: 3 Reviews
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Co-Authors

528 single-authored
158 George, Santhosh
135 Hilout, Saïd
59 Magreñán, Ángel Alberto
37 Ren, Hongmin
28 Khattri, Sanjay K.
23 Anastassiou, George Angelos
23 Cho, Yeol Je
21 Behl, Ramandeep
18 Chen, Dong
15 Sharma, Janak Raj
13 González, Daniel
13 Szidarovszky, Ferenc P.
12 Motsa, Sandile Sydney
12 Verma, Ram U.
11 Amat, Sergio P.
11 Hernández-Verón, Miguel Ángel
11 Sicilia, Juan Antonio
10 Kumar, Deepak
9 Busquier, Sonia
9 Tabatabai, Muhammad A.
8 Kumar, Sunil
8 Uko, Livinus Ugochukwu
7 Ezquerro, José Antonio
7 Gutiérrez, José Manuel
7 Jidesh, P.
7 Kansal, Munish
6 Cătinaş, Emil
6 Erappa, Shobha Monnanda
6 Kanwar, Vinay
6 Păvăloiu, Ion
6 Shakhno, Stepan Mykhaĭlovych
5 Alshomrani, Ali Saleh
5 Cordero, Alicia
5 Orcos, Lara
5 Torregrosa Sanchez, Juan Ramón
4 Hernández, Miguel Ángel
4 Kumar Khattri, Sanjay
4 Romero, Natalia
4 Salahuddin
3 Chen, Jinhai
3 Losta, Mansor M.
3 Machado, José António Tenreiro
3 Plaza, Sergio
3 Qian, Qingshan
3 Santhosh, George
3 Sarría, Ínigo
3 Shobha, Monnanda Erappa
3 Silva, Gilson N.
3 Yarmola, Halyna
2 Agarwal, Ravi P.
2 Martínez, Eulalia
2 Moreno, Daniel
2 Parhi, Sanjaya Kumar
2 Rubio, María Jesús
2 Sahu, Daya Ram
2 Sharma, Debasis
2 Sreedeep, C. D.
2 Yáñez, Dionisio F.
1 Alreshidi, Nasser Aedh
1 Alshormani, Ali Saleh
1 Argyros, Gus
1 Argyros, Michael
1 Bajaj, Sugandha
1 Bi, Weihong
1 Chen, Don
1 Chun, Changbum
1 Giménez, Elena
1 Huang, Zhengda
1 Kim, Young Ik
1 Kumam, Poom
1 Kumar, Amit
1 Kunhanandan, M.
1 Legaz, María José
1 Mahapatra, M. S.
1 Mahrt, L. F.
1 Mallawi, Fouad Othman
1 Măruşter, Ştefan
1 Petrot, Narin
1 Qian, Quingshan
1 Qin, Xiaolong
1 Rainer, J. J.
1 Rehman, Habib Ur
1 Senapati, Kedarnath
1 Silva, Gilson do Nascimento
1 Soleymani, Fazlollah
1 Sunanda, Shanta Kumari
1 Uko, Livius U.
1 Vela, A. I.
1 Wu, Long
1 Xiao, Yibin
1 Yarmola, H. P.
all top 5

Serials

77 Advances in Nonlinear Variational Inequalities
62 Applied Mathematics and Computation
45 Panamerican Mathematical Journal
43 Applicationes Mathematicae
41 Journal of Computational and Applied Mathematics
40 Communications on Applied Nonlinear Analysis
34 Journal of Mathematics. The Punjab University
34 Nonlinear Functional Analysis and Applications
30 Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza. Serie 2
28 Mathematical Sciences Research Hot-Line
28 Journal of Applied Mathematics and Computing
26 Revue d’Analyse Numérique et de Théorie de l’Approximation
24 Numerical Algorithms
22 Southwest Journal of Pure and Applied Mathematics
20 Tamkang Journal of Mathematics
20 S\(\vec{\text{e}}\)MA Journal
17 Applied Mathematics Letters
17 International Journal of Computer Mathematics
16 Journal of the Korean Society of Mathematical Education. Series B. The Pure and Applied Mathematics
14 Functiones et Approximatio. Commentarii Mathematici
14 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica
14 Journal of Complexity
14 Journal of Nonlinear Analysis and Optimization: Theory & Applications
13 The Korean Journal of Computational & Applied Mathematics
12 East Asian Mathematical Journal
12 International Journal of Applied and Computational Mathematics
11 Journal of Mathematical Chemistry
10 Proyecciones
9 Journal of the Korean Mathematical Society
9 Mathematica
9 PU.M.A. Pure Mathematics and Applications
9 Asian-European Journal of Mathematics
9 Journal of Numerical Analysis and Approximation Theory
8 Rendiconti del Circolo Matemàtico di Palermo. Serie II
8 Nonlinear Studies
7 Studia Scientiarum Mathematicarum Hungarica
7 Studia Universitatis Babeş-Bolyai. Mathematica
7 Computational and Applied Mathematics
7 Communications in Applied Analysis
7 Mathematical Sciences Research Journal
6 Bulletin of the Australian Mathematical Society
6 Computers & Mathematics with Applications
6 Journal of Mathematical Analysis and Applications
6 International Journal of Mathematics and Mathematical Sciences
6 Acta Mathematica Hungarica
6 Cubo
6 Journal of Nonlinear Science and Applications
6 Algorithms
5 Mathematica Slovaca
5 Monatshefte für Mathematik
5 Numerical Functional Analysis and Optimization
5 Approximation Theory and its Applications
5 Aequationes Mathematicae
5 Bulletin of the Institute of Mathematics. Academia Sinica
4 The Arabian Journal for Science and Engineering
4 Bulletin of the Malaysian Mathematical Society. Second Series
4 Chinese Journal of Mathematics
4 Czechoslovak Mathematical Journal
4 Revista Colombiana de Matemáticas
4 Serdica Mathematical Journal
4 Novi Sad Journal of Mathematics
4 International Journal of Pure and Applied Mathematics
4 International Journal of Computational Methods
4 Symmetry
3 Mathematical Methods in the Applied Sciences
3 Computing
3 Publicationes Mathematicae
3 Zeitschrift für Analysis und ihre Anwendungen
3 Atti del Seminario Matematico e Fisico dell’Università di Modena
3 Central European Journal of Mathematics
3 Journal of Concrete and Applicable Mathematics
3 Carpathian Journal of Mathematics
3 Monografii Matematice (Timişoara)
3 Numerical Mathematics: Theory, Methods and Applications
3 Creative Mathematics and Informatics
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Advances and Applications in Mathematical Sciences
3 Mathematics
3 Khayyam Journal of Mathematics
2 Mathematics of Computation
2 BIT
2 Commentationes Mathematicae Universitatis Carolinae
2 Journal of Optimization Theory and Applications
2 Matematički Vesnik
2 Mathématica – Revue d’Analyse Numérique et de Théorie de l’Approximation. L’Analyse Numérique et la Théorie de l’Approximation
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Bulletin of the Korean Mathematical Society
2 PU.M.A. Pure Mathematics and Applications. Ser. B
2 Taiwanese Journal of Mathematics
2 Journal of Inequalities and Applications
2 Journal of Computational Analysis and Applications
2 Communications of the Korean Mathematical Society
2 EAMJ. East Asian Mathematical Journal
2 Mediterranean Journal of Mathematics
2 The Australian Journal of Mathematical Analysis and Applications
2 Atti del Seminario Matematico e Fisico dell’ Università di Modena e Reggio Emilia
2 Studies in Computational Intelligence
2 Surveys in Mathematics and its Applications
2 International Journal of Modern Mathematics
2 Journal of Pure and Applied Mathematics: Advances and Applications
...and 58 more Serials

Publications by Year

Citations contained in zbMATH Open

406 Publications have been cited 2,945 times in 1,135 Documents Cited by Year
Convergence and applications of Newton-type iterations. Zbl 1153.65057
Argyros, Ioannis Konstantinos
157
2008
A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space. Zbl 1057.65029
Argyros, Ioannis K.
146
2004
Weaker conditions for the convergence of Newton’s method. Zbl 1245.65058
Argyros, Ioannis K.; Hilout, Saïd
107
2012
Quadratic equations and applications to Chandrasekhar’s and related equations. Zbl 0607.47063
Argyros, Ioannis K.
89
1985
On the Newton-Kantorovich hypothesis for solving equations. Zbl 1055.65066
Argyros, Ioannis K.
78
2004
A note on the Halley method in Banach spaces. Zbl 0787.65034
Chen, Dong; Argyros, I. K.; Qian, Q. S.
71
1993
Computational theory of iterative methods. Zbl 1147.65313
Argyros, Ioannis
69
2007
A semilocal convergence analysis for directional Newton methods. Zbl 1211.65057
Argyros, Ioannis K.
62
2011
On the local convergence of fast two-step Newton-like methods for solving nonlinear equations. Zbl 1262.65061
Argyros, I. K.; Hilout, S.
57
2013
The Jarratt method in Banach space setting. Zbl 0809.65054
Argyros, I. K.; Chen, Dong; Qian, Qingshan
56
1994
Results on the Chebyshev method in Banach spaces. Zbl 1082.65536
Argyros, I. K.; Chen, Dong
53
1993
A local convergence theorem for the super-Halley method in a Banach space. Zbl 0811.65043
Chen, D.; Argyros, I. K.; Qian, Q.
51
1994
Computational methods in nonlinear analysis. Efficient algorithms, fixed point theory and applications. Zbl 1279.65062
Argyros, Ioannis K.; Hilout, Saïd
51
2013
On the convergence of an optimal fourth-order family of methods and its dynamics. Zbl 1338.65143
Argyros, Ioannis K.; Magreñán, Á. Alberto
46
2015
The theory and applications of iteration methods. Zbl 0844.65052
Argyros, Ioannis K.; Szidarovszky, Ferenc
36
1993
Numerical methods for equations and its applications. Zbl 1254.65068
Argyros, Ioannis K.; Cho, Yeaol Je; Hilout, Saïd
32
2012
Some notions of nonstationary multistep iteration processes. Zbl 0802.65076
Argyros, I. K.; Szidarovszky, F.
31
1994
Approximation methods for common solutions of generalized equilibrium, systems of nonlinear variational inequalities and fixed point problems. Zbl 1205.65185
Cho, Yeol Je; Argyros, Ioannis K.; Petrot, Narin
31
2010
On the secant method. Zbl 0796.65075
Argyros, Ioannis K.
29
1993
On the semilocal convergence of efficient Chebyshev-secant-type methods. Zbl 1215.65102
Argyros, I. K.; Ezquerro, J. A.; Gutiérrez, J. M.; Hernández, M. A.; Hilout, S.
28
2011
Enclosing roots of polynomial equations and their applications to iterative processes. Zbl 1205.26023
Argyros, I. K.; Hilout, S.
27
2009
Local convergence of inexact Newton-like iterative methods and applications. Zbl 0976.65054
Argyros, I. K.
25
2000
Approximating solutions of equations using Newton’s method with a modified Newton’s method iterate as a starting point. Zbl 1199.65179
Argyros, Ioannis K.
25
2007
On a class of Newton-like methods for solving nonlinear equations. Zbl 1168.65349
Argyros, Ioannis K.
25
2009
Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order. Zbl 1309.65061
Argyros, Ioannis K.; George, Santhosh; Magreñán, Á. Alberto
25
2015
Extending the Newton-Kantorovich hypothesis for solving equations. Zbl 1195.65075
Argyros, Ioannis K.; Hilout, Saïd
24
2010
Concerning the “terra incognita” between convergence regions of two Newton methods. Zbl 1072.65079
Argyros, Ioannis K.
23
2005
On a class of quadratic integral equations with perturbation. Zbl 0780.45005
Argyros, Ioannis K.
22
1992
A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative. Zbl 1335.65047
Argyros, Ioannis K.; Magreñán, Á. Alberto
21
2016
Newton-like methods under mild differentiability conditions with error analysis. Zbl 0629.65061
Argyros, Ioannis K.
19
1988
On a class of nonlinear integral equations arising in neutron transport. Zbl 0657.45001
Argyros, Ioannis K.
19
1988
The secant method and fixed points of nonlinear operators. Zbl 0652.65043
Argyros, Ioannis K.
18
1988
The Newton-Kantorovich method under mild differentiability conditions and the Ptâk error estimates. Zbl 0712.65053
Argyros, Ioannis K.
17
1990
Iterative methods and their dynamics with applications: a contemporary study. Zbl 1360.65005
Argyros, Ioannis Konstantinos; Magreñán, Angel Alberto
17
2017
A new convergence theorem for Steffensen’s method on Banach spaces and applications. Zbl 0895.65024
Argyros, Ioannis K.
16
1997
Sixth order derivative free family of iterative methods. Zbl 1229.65080
Khattri, Sanjay K.; Argyros, Ioannis K.
16
2011
Remarks on the convergence of Newton’s method under Hölder continuity conditions. Zbl 0767.65051
Argyros, Ioannis K.
15
1992
New sufficient convergence conditions for the secant method. Zbl 1081.65043
Argyros, Ioannis K.
15
2005
A convergence analysis for directional two-step Newton methods. Zbl 1204.65049
Argyros, Ioannis K.; Hilout, Saïd
15
2010
Improved generalized differentiability conditions for Newton-like methods. Zbl 1196.65100
Argyros, Ioannis K.; Hilout, Saïd
15
2010
Improved local convergence of Newton’s method under weak majorant condition. Zbl 1427.65089
Argyros, Ioannis K.; Hilout, Saïd
15
2012
On Newton’s method under mild differentiability conditions and applications. Zbl 0930.65061
Argyros, Ioannis K.
14
1999
The convergence of a Halley-Chebysheff-type method under Newton- Kantorovich hypotheses. Zbl 0782.65068
Argyros, Ioannis K.
14
1993
Advances in the efficiency of computational methods and applications. Zbl 0972.65036
Argyros, Ioannis K.
13
2000
On the convergence and application of Newton’s method under weak Hölder continuity assumptions. Zbl 1050.65056
Argyros, Ioannis K.
13
2003
On the solution of equations with nondifferentiable and Ptak error estimates. Zbl 0726.65063
Argyros, Ioannis K.
13
1990
A Kantorovich-type analysis for a fast iterative method for solving nonlinear equations. Zbl 1121.65061
Argyros, Ioannis K.
13
2007
Newton’s method for approximating zeros of vector fields on Riemannian manifolds. Zbl 1176.65061
Argyros, Ioannis K.; Hilout, Saïd
13
2009
On Newton’s method and nondiscrete mathematical induction. Zbl 0642.65043
Argyros, Ioannis K.
12
1988
A Newton-Kantorovich theorem for equations involving \(m\)-Fréchet differentiable operators and applications in radiative transfer. Zbl 0983.65069
Argyros, Ioannis K.
12
2001
An improved unifying convergence analysis of Newton’s method in Riemannian manifolds. Zbl 1136.65055
Argyros, Ioannis K.
12
2007
A contemporary study of iterative methods. Convergence, dynamics and applications. Zbl 1386.65007
Magreñán, Á. Alberto; Argyros, Ioannis K.
12
2018
Local convergence of modified Halley-like methods. Zbl 1468.65057
Argyros, Ioannis K.; George, Santhosh
12
2015
On the local convergence and the dynamics of Chebyshev-Halley methods with six and eight order of convergence. Zbl 1331.65086
Magreñán, Á. Alberto; Argyros, Ioannis K.
12
2016
Local convergence of deformed Halley method in Banach space under Hölder continuity conditions. Zbl 1326.65023
Argyros, Ioannis K.; George, Santhosh
12
2015
The midpoint method for solving nonlinear operator equations in Banach space. Zbl 0757.65071
Chen, Dong; Argyros, Ioannis K.
11
1992
A convergence theorem for Newton-like methods under generalized Chen- Yamamoto-type assumptions. Zbl 0796.65077
Argyros, Ioannis K.
11
1994
A new convergence theorem for the Jarratt method in Banach space. Zbl 0933.65064
Argyros, I. K.
11
1998
A new convergence theorem for the inexact Newton methods based on assumptions involving the second Fréchet derivative. Zbl 0981.65067
Argyros, I. K.
11
1999
An improved error analysis for Newton-like methods under generalized conditions. Zbl 1030.65060
Argyros, Ioannis K.
11
2003
Extending the applicability of the Gauss-Newton method under average Lipschitz-type conditions. Zbl 1228.65076
Argyros, Ioannis K.; Hilout, Saïd
11
2011
A new analysis for the Keller-Segel model of fractional order. Zbl 1365.65233
Kumar, Sunil; Kumar, Amit; Argyros, Ioannis K.
11
2017
The super-Halley method using divided differences. Zbl 0883.65048
Argyros, I. K.
10
1997
On a new Newton-Mysovskii-type theorem with applications to inexact Newton-like methods and their discretizations. Zbl 0905.65064
Argyros, Ioannis K.
10
1998
On a two-point Newton-like method of convergent order two. Zbl 1068.65070
Argyros, Ioannis K.
10
2005
A unified approach for constructing fast two-step Newton-like methods. Zbl 0817.65042
Argyros, Ioannis K.
10
1995
An inverse-free Jarratt type approximation in a Banach space. Zbl 0852.65049
Argyros, I. K.; Chen, Dong; Qian, Q.
10
1996
On a theorem of L.V. Kantorovich concerning Newton’s method. Zbl 1040.65044
Argyros, Ioannis K.
9
2003
Convergence radius of the modified Newton method for multiple zeros under Hölder continuous derivative. Zbl 1205.65174
Ren, Hongmin; Argyros, Ioannis K.
9
2010
On the semilocal convergence of inexact Newton methods in Banach spaces. Zbl 1400.65029
Argyros, Ioannis K.
9
2009
Improved local analysis for a certain class of iterative methods with cubic convergence. Zbl 1317.65127
Ren, Hongmin; Argyros, Ioannis K.
9
2012
Efficient Steffensen-type algorithms for solving nonlinear equations. Zbl 1279.65059
Argyros, I. K.; Ren, Hongmin
9
2013
Local convergence for some third-order iterative methods under weak conditions. Zbl 1350.65043
Argyros, Ioannis K.; Cho, Yeol Je; George, Santhosh
9
2016
Polynomial operator equations in abstract spaces and applications. Zbl 0967.65070
Argyros, Ioannis K.
8
1998
Approximate solution of operator equations with applications. Zbl 1086.47002
Argyros, Ioannis K.
8
2005
On the secant method for solving nonsmooth equations. Zbl 1112.65048
Argyros, Ioannis K.
8
2006
On an improved local convergence analysis for the Secant method. Zbl 1176.65068
Argyros, Ioannis K.; Ren, Hongmin
8
2009
Concerning the convergence of Newton’s method and quadratic majorants. Zbl 1180.65064
Argyros, Ioannis K.
8
2009
Monotone convergence of extended iterative methods and fractional calculus with applications. Zbl 1378.65115
Anastassiou, George A.; Argyros, Ioannis K.; Kumar, Sunil
8
2017
Ball convergence theorems for Halley’s method in Banach space. Zbl 1295.65064
Argyros, Ioannis K.; Ren, Hongmin
8
2012
On the convergence of King-Werner-type methods of order \(1 + \sqrt{2}\) free of derivatives. Zbl 1338.65148
Ren, Hongmin; Argyros, Ioannis K.
8
2015
Local convergence of efficient secant-type methods for solving nonlinear equations. Zbl 1298.65094
Ren, Hongmin; Argyros, I. K.
8
2012
A new semilocal convergence theorem for Newton’s method in Banach space using hypotheses on the second Fréchet-derivative. Zbl 1010.65025
Argyros, I. K.
7
2001
Newton-like methods in partially ordered Banach spaces. Zbl 0773.65039
Argyros, I. K.
7
1993
Relations between forcing sequences and inexact Newton iterates in Banach space. Zbl 0937.65062
Argyros, I. K.
7
1999
On the semilocal convergence of the Gauss-Newton method. Zbl 1117.65325
Argyros, Ioannis K.
7
2005
A new iterative method of asymptotic order \(1+\sqrt 2\) for the computation of fixed points. Zbl 1122.65051
Argyros, Ioannis K.
7
2005
On the comparison of a weak variant of the Newton–Kantorovich and Miranda theorems. Zbl 1074.65062
Argyros, Ioannis K.
7
2004
A unified approach for enlarging the radius of convergence for Newton’s method and applications. Zbl 1094.65051
Argyros, Ioannis K.; Gutiérrez, José M.
7
2005
Convergence conditions for secant-type methods. Zbl 1224.65141
Argyros, Ioannis K.; Hilout, Saïd
7
2010
A new semilocal convergence theorem for a fast iterative method with nondifferentiable operators. Zbl 1208.65079
Ren, Hongmin; Argyros, Ioannis K.
7
2010
Chebysheff-Halley-like methods in Banach spaces. Zbl 0915.65045
Argyros, Ioannis K.
7
1997
Local convergence and a chemical application of derivative free root finding methods with one parameter based on interpolation. Zbl 1360.65141
Argyros, Ioannis K.; Magreñán, Á. Alberto; Orcos, Lara
7
2016
Majorizing sequences for iterative methods. Zbl 1427.65090
Argyros, Ioannis K.; Hilout, Saïd
7
2012
On the semilocal convergence of the Halley method using recurrent functions. Zbl 1291.65156
Argyros, Ioannis K.; Cho, Yeol Je; Hilout, Saïd
7
2011
Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations. Zbl 1326.65022
Alberto Magreñán, Á.; Argyros, Ioannis K.
7
2015
Expanding the applicability of Newton’s method using Smale’s \(\alpha\)-theory. Zbl 1291.65167
Argyros, Ioannis K.; Hilout, Saïd; Khattri, Sanjay K.
7
2014
An improved convergence analysis and applications for Newton-like methods in Banach space. Zbl 1040.47045
Argyros, Ioannis K.
6
2003
Improved error bounds for a Chebyshev-Halley-type method. Zbl 0963.41015
Argyros, I. K.
6
1999
Convergence of general iteration schemes. Zbl 0767.65050
Argyros, Ioannis K.; Szidarovszky, Ferenc
6
1992
On the complexity of extending the convergence region for Traub’s method. Zbl 1468.65060
Argyros, Ioannis K.; George, Santhosh
3
2020
Weaker conditions for inexact mutitpoint Newton-like methods. Zbl 1433.65092
Argyros, Ioannis K.; Magreñán, Á. Alberto; Moreno, Daniel; Orcos, Lara; Sicilia, Juan Antonio
1
2020
On the local convergence of Weerakoon-Fernando method with \(\omega\) continuity condition in Banach spaces. Zbl 07293754
Argyros, Ioannis K.; Sharma, Debasis; Parhi, Sanjaya Kumar
1
2020
Two-step solver for equations with nondifferentiable term. Zbl 1418.65072
Argyros, Ioannis K.; Shakhno, Stepan; Yarmola, Halyna
1
2019
On a two-step Kurchatov-type method in Banach space. Zbl 1411.65077
Argyros, Ioannis K.; George, Santhosh
1
2019
Different methods for solving STEM problems. Zbl 1415.65124
Argyros, Ioannis K.; Magreñán, Á. A.; Orcos, L.; Sarría, Íñígo; Sicilia, Juan Antonio
1
2019
Two-step solver for nonlinear equations. Zbl 1416.65154
Argyros, Ioannis K.; Shakhno, Stepan; Yarmola, Halyna
1
2019
A contemporary study of iterative methods. Convergence, dynamics and applications. Zbl 1386.65007
Magreñán, Á. Alberto; Argyros, Ioannis K.
12
2018
On the local convergence study for an efficient k-step iterative method. Zbl 06892299
Amat, S.; Argyros, I. K.; Busquier, S.; Hernández-Verón, M. A.; Martínez, E.
6
2018
Local convergence of a Newton-Traub composition in Banach spaces. Zbl 1388.49028
Sharma, Janak Raj; Argyros, Ioannis K.
5
2018
On two high-order families of frozen Newton-type methods. Zbl 1424.65072
Amat, S.; Argyros, I.; Busquier, S.; Hernández-Verón, M. A.
5
2018
Design and analysis of a new class of derivative-free optimal order methods for nonlinear equations. Zbl 1404.65042
Sharma, Janak Raj; Argyros, Ioannis K.; Kumar, Deepak
3
2018
Local convergence for an almost sixth order method for solving equations under weak conditions. Zbl 1396.49021
Argyros, Ioannis K.; George, Santhosh
2
2018
Secant-like methods for solving nonlinear models with applications to chemistry. Zbl 1404.92229
Magreñán, Á. Alberto; Argyros, Ioannis K.; Orcos, Lara; Sicilia, Juan Antonio
1
2018
Improved semilocal convergence analysis in Banach space with applications to chemistry. Zbl 1407.65059
Argyros, Ioannis K.; Giménez, Elena; Magreñán, Á. A.; Sarría, Í.; Sicilia, Juan Antonio
1
2018
Ball convergence of an efficient eighth order iterative method under weak conditions. Zbl 1404.65045
Sharma, Janak Raj; Argyros, Ioannis K.; Kumar, Sunil
1
2018
Semilocal convergence analysis of a fifth-order method using recurrence relations in Banach space under weak conditions. Zbl 1469.65098
Argyros, Ioannis K.; George, Santhosh
1
2018
A family of higher order derivative free methods for nonlinear systems with local convergence analysis. Zbl 1413.65200
Bhalla, S.; Kumar, S.; Argyros, I. K.; Behl, Ramandeep
1
2018
Local convergence of Newton-HSS methods with positive definite Jacobian matrices under generalized conditions. Zbl 1444.65019
Argyros, Ioannis K.; Sharma, Janak Raj; Kumar, Deepak
1
2018
Iterative methods and their dynamics with applications: a contemporary study. Zbl 1360.65005
Argyros, Ioannis Konstantinos; Magreñán, Angel Alberto
17
2017
A new analysis for the Keller-Segel model of fractional order. Zbl 1365.65233
Kumar, Sunil; Kumar, Amit; Argyros, Ioannis K.
11
2017
Monotone convergence of extended iterative methods and fractional calculus with applications. Zbl 1378.65115
Anastassiou, George A.; Argyros, Ioannis K.; Kumar, Sunil
8
2017
Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions. Zbl 1359.65084
Amat, S.; Argyros, Ioannis K.; Busquier, S.; Magreñán, Á. Alberto
4
2017
On the convergence of a higher order family of methods and its dynamics. Zbl 1468.65056
Argyros, Ioannis K.; Cordero, Alicia; Magreñán, Ángel Alberto; Torregrosa, Juan Ramón
4
2017
Higher-order derivative-free families of Chebyshev-Halley type methods with or without memory for solving nonlinear equations. Zbl 1426.65064
Argyros, Ioannis K.; Kansal, Munish; Kanwar, Vinay; Bajaj, Sugandha
4
2017
Local convergence of a relaxed two-step Newton like method with applications. Zbl 1421.65012
Argyros, I. K.; Magreñán, Á. A.; Orcos, L.; Sicilia, J. A.
3
2017
Third-degree anomalies of Traub’s method. Zbl 1468.65055
Argyros, Ioannis K.; Cordero, Alicia; Magreñán, Á. Alberto; Torregrosa, Juan R.
3
2017
Ball convergence of the Newton-Gauss method in Banach space. Zbl 1381.65040
Argyros, Ioannis K.; Sharma, Janak Raj; Kumar, Deepak
2
2017
Unifying semilocal and local convergence of Newton’s method on Banach space with a convergence structure. Zbl 1358.65035
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S.
2
2017
Expanding the applicability of inexact Newton methods using restricted convergence domains. Zbl 1368.65077
Argyros, Ioannis K.; George, Santhosh
1
2017
Local convergence of a fifth convergence order method in Banach space. Zbl 1367.65080
Argyros, Ioannis K.; George, Santhosh
1
2017
Ball convergence for second derivative free methods in Banach space. Zbl 1397.65080
Argyros, Ioannis K.; Jidesh, P.; George, Santhosh
1
2017
Ball convergence for an eighth order efficient method under weak conditions in Banach spaces. Zbl 1381.65039
Argyros, Ioannis K.; George, Santhosh; Erappa, Shobha M.
1
2017
Ball convergence of a stable fourth-order family for solving nonlinear systems under weak conditions. Zbl 1399.65058
Argyros, Ioannis K.; Kansal, Munish; Kanwar, Vinay
1
2017
On a general class of optimal order multipoint methods for solving nonlinear equations. Zbl 1357.65061
Sharma, Janak Raj; Argyros, Ioannis K.; Kumar, Deepak
1
2017
Ball convergence for a family of quadrature-based methods for solving equations in Banach space. Zbl 1404.65047
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S.
1
2017
A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative. Zbl 1335.65047
Argyros, Ioannis K.; Magreñán, Á. Alberto
21
2016
On the local convergence and the dynamics of Chebyshev-Halley methods with six and eight order of convergence. Zbl 1331.65086
Magreñán, Á. Alberto; Argyros, Ioannis K.
12
2016
Local convergence for some third-order iterative methods under weak conditions. Zbl 1350.65043
Argyros, Ioannis K.; Cho, Yeol Je; George, Santhosh
9
2016
Local convergence and a chemical application of derivative free root finding methods with one parameter based on interpolation. Zbl 1360.65141
Argyros, Ioannis K.; Magreñán, Á. Alberto; Orcos, Lara
7
2016
Local convergence for multipoint methods using only the first derivative. Zbl 1367.65082
Argyros, Ioannis K.; Kansal, Munish; Kanwar, V.
4
2016
Improved convergence analysis for Newton-like methods. Zbl 1339.65074
Magreñán, Ángel Alberto; Argyros, Ioannis K.
3
2016
Generalized Newton-like methods for local convergence analysis. Zbl 1355.65065
Argyros, Ioannis K.; Verma, Ram U.
3
2016
Ball convergence of a sixth order iterative method with one parameter for solving equations under weak conditions. Zbl 1377.65055
Argyros, Ioannis K.; George, Santhosh
2
2016
Newton’s method on generalized Banach spaces. Zbl 1386.65149
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S.
2
2016
Intelligent numerical methods: applications to fractional calculus. Zbl 1354.65003
Anastassiou, George A.; Argyros, Ioannis K.
2
2016
Local convergence and the dynamics of a two-step Newton-like method. Zbl 1343.47067
Argyros, Ioannis K.; Magreñán, Á. Alberto
2
2016
Unified convergence domains of Newton-like methods for solving operator equations. Zbl 1410.65211
Argyros, Ioannis K.; George, Santhosh
2
2016
Local convergence for an efficient eighth order iterative method with a parameter for solving equations under weak conditions. Zbl 1420.65068
Argyros, Ioannis K.; George, Santhosh
2
2016
Intelligent numerical methods II: Applications to multivariate fractional calculus. Zbl 1336.65003
Anastassiou, George A.; Argyros, Ioannis K.
1
2016
The majorant method in the theory of Newton-Kantorovich approximations and generalized Lipschitz conditions. Zbl 1329.65114
Argyros, Ioannis K.; Hilout, Saïd
1
2016
On a result by Dennis and Schnabel for Newton’s method: further improvements. Zbl 1416.65153
Argyros, Ioannis K.; George, Santhosh
1
2016
Newton’s method for convex optimization. Zbl 1354.65113
Argyros, Ioannis K.; González, Daniel
1
2016
Local convergence analysis of an eighth order scheme using hypothesis only on the first derivative. Zbl 1461.65098
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, Sandile S.
1
2016
On the convergence of an optimal fourth-order family of methods and its dynamics. Zbl 1338.65143
Argyros, Ioannis K.; Magreñán, Á. Alberto
46
2015
Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order. Zbl 1309.65061
Argyros, Ioannis K.; George, Santhosh; Magreñán, Á. Alberto
25
2015
Local convergence of modified Halley-like methods. Zbl 1468.65057
Argyros, Ioannis K.; George, Santhosh
12
2015
Local convergence of deformed Halley method in Banach space under Hölder continuity conditions. Zbl 1326.65023
Argyros, Ioannis K.; George, Santhosh
12
2015
On the convergence of King-Werner-type methods of order \(1 + \sqrt{2}\) free of derivatives. Zbl 1338.65148
Ren, Hongmin; Argyros, Ioannis K.
8
2015
Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations. Zbl 1326.65022
Alberto Magreñán, Á.; Argyros, Ioannis K.
7
2015
On the convergence of efficient King-Werner-type methods of order \(1 + \sqrt{2}\). Zbl 1314.65073
Argyros, Ioannis K.; Ren, Hongmin
5
2015
Iterative regularization methods for nonlinear ill-posed operator equations with \(m\)-accretive mappings in Banach spaces. Zbl 1349.47097
Argyros, Ioannis K.; George, Santhosh
5
2015
On the convergence of inexact two-point Newton-like methods on Banach spaces. Zbl 1410.65213
Argyros, Ioannis Konstantinos; Magreñán, Ángel Alberto
4
2015
Ball comparison between two optimal eight-order methods under weak conditions. Zbl 1332.65066
Argyros, Ioannis K.; George, Santhosh
4
2015
Local convergence for some high convergence order Newton-like methods with frozen derivatives. Zbl 1329.65113
Argyros, Ioannis K.; George, Santhosh
4
2015
Local convergence for deformed Chebyshev-type method in Banach space under weak conditions. Zbl 1339.65073
Argyros, Ioannis K.; George, Santhosh
4
2015
On the convergence of a damped Newton-like method with modified right hand side vector. Zbl 1410.65209
Argyros, Ioannis K.; Cordero, Alicia; Magreñán, Alberto; Torregrosa, Juan R.
4
2015
On a sixth-order Jarratt-type method in Banach spaces. Zbl 1334.65097
Argyros, Ioannis K.; George, Santhosh
2
2015
Accessibility of solutions of operator equations by Newton-like methods. Zbl 1320.65085
Sahu, D. R.; Cho, Y. J.; Agarwal, R. P.; Argyros, I. K.
2
2015
Expanding the applicability of secant method with applications. Zbl 1319.47056
Magreñán, Á. Alberto; Argyros, Ioannis K.
2
2015
Expanding the applicability of secant-like methods for solving nonlinear equations. Zbl 1349.65179
Argyros, I. K.; Ezquerro, J. A.; Hernández, M. A.; Hilout, S.; Romero, N.; Vela, A. I.
2
2015
Expanding the applicability of the secant method under weaker conditions. Zbl 1410.65181
Argyros, Ioannis K.; Magreñán, Á. Alberto
2
2015
Local convergence of an optimal eighth order method under weak conditions. Zbl 1461.65072
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S.
2
2015
Local convergence of an efficient high convergence order method using hypothesis only on the first derivative. Zbl 1461.65099
Argyros, Ioannis K.; Behl, Ramandeep; Motsa, S. S.
2
2015
A unified convergence analysis for a certain family of iterative algorithms with applications to fractional calculus. Zbl 1346.65025
Anastassiou, George A.; Argyros, Ioannis K.
1
2015
New semilocal and local convergence analysis for the secant method. Zbl 1410.65222
Magreñán, Á. Alberto; Argyros, Ioannis K.
1
2015
On the semilocal convergence of a two step Newton method under the \(\gamma\)-condition. Zbl 1413.65224
Argyros, Ioannis K.; George, Santhosh
1
2015
Extended convergence results for the Newton-Kantorovich iteration. Zbl 1314.65077
Argyros, Ioannis K.; Magreñán, Á. Alberto
1
2015
Ball convergence for a Newton-Steffensen-type third-order method. Zbl 1323.65053
Argyros, Ioannis K.; George, Santhosh
1
2015
Generalized quasi split variational inequality problems involving relaxed cocoercive mappings. Zbl 1339.47079
Argyros, Ioannis K.; Salahuddin
1
2015
A unified local convergence for Jarratt-type methods in Banach space under weak conditions. Zbl 1400.65030
Argyros, Ioannis K.; George, Santhosh
1
2015
On the convergence of a damped secant method with modified right-hand side vector. Zbl 1338.65140
Argyros, Ioannis K.; Cordero, Alicia; Alberto Magreñán, Á.; Torregrosa, J. R.
1
2015
Enlarging the convergence ball of the method of parabola for finding zero of derivatives. Zbl 1338.65141
Argyros, Ioannis K.; George, Santhosh
1
2015
Directional Chebyshev-type methods for solving equations. Zbl 1307.65072
Argyros, I. K.; Hernández, M. A.; Hilout, S.; Romero, N.
1
2015
An extension of a theorem by Wang for Smale’s \(\alpha\)-theory and applications. Zbl 1432.65067
Magreñán, Ángel Alberto; Argyros, Ioannis K.
1
2015
Expanding the applicability of Newton’s method using Smale’s \(\alpha\)-theory. Zbl 1291.65167
Argyros, Ioannis K.; Hilout, Saïd; Khattri, Sanjay K.
7
2014
Local convergence for a family of third order methods in Banach spaces. Zbl 1316.65052
Argyros, I. K.; Khattri, S. K.
6
2014
A semilocal convergence for a uniparametric family of efficient secant-like methods. Zbl 1321.65085
Argyros, I. K.; González, D.; Magreñán, Á. A.
5
2014
Relaxed secant-type methods. Zbl 1307.65074
Argyros, Ioannis K.; Magreñán Ruiz, Ángel Alberto
5
2014
On the “Terra incognita” for the Newton-Kantrovich method with applications. Zbl 1292.65054
Argyros, Ioannis Konstantinos; Cho, Yeol Je; George, Santhosh
4
2014
Newton-type methods on Riemannian manifolds under Kantorovich-type conditions. Zbl 1364.65113
Amat, S.; Argyros, I. K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S.
4
2014
Extending the applicability of Newton’s method for \(k\)-Fréchet differentiable operators in Banach spaces. Zbl 1298.65090
Argyros, I. K.; González, D.
3
2014
A unified convergence analysis for secant-type methods. Zbl 1320.65082
Argyros, Ioannis Konstantinos; Magreñán, Ángel Alberto
3
2014
Traub-type high order iterative procedures on Riemannian manifolds. Zbl 1317.47061
Amat, S.; Argyros, I. K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S.
3
2014
Local convergence of two competing third order methods in Banach space. Zbl 1316.65056
Argyros, Ioannis K.; George, Santhosh
3
2014
Inverse free iterative methods for nonlinear ill-posed operator equations. Zbl 1309.47065
Argyros, Ioannis K.; George, Santhosh; Jidesh, P.
3
2014
Two-step Newton methods. Zbl 1291.65170
Magreñán Ruiz, Ángel Alberto; Argyros, Ioannis K.
2
2014
Expanding the applicability of Lavrentiev regularization methods for ill-posed equations under general source condition. Zbl 1303.65041
Argyros, Ioannis K.; George, Santhosh
2
2014
Extending the applicability of Gauss-Newton method for convex composite optimization on Riemannian manifolds. Zbl 1338.90460
Argyros, Ioannis K.; Magreñán, Ángel Alberto
2
2014
Extending the applicability of Newton’s method by improving a local result due to Dennis and Schnabel. Zbl 1312.65084
Argyros, I. K.; González, D.
2
2014
...and 306 more Documents
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Cited by 706 Authors

392 Argyros, Ioannis Konstantinos
91 George, Santhosh
72 Hernández, Miguel Ángel
71 Ezquerro, José Antonio
63 Hilout, Saïd
59 Magreñán, Ángel Alberto
43 Hernández-Verón, Miguel Ángel
39 Kou, Jisheng
38 Amat, Sergio P.
36 Ren, Hongmin
31 Behl, Ramandeep
28 Busquier, Sonia
26 Cho, Yeol Je
26 Wang, Xiuhua
25 Gupta, Dharmendra Kumar
25 Wu, Qingbiao
24 Gutiérrez, José Manuel
23 Chun, Changbum
23 Torregrosa Sanchez, Juan Ramón
22 Sharma, Janak Raj
21 Cordero, Alicia
21 Romero, Natalia
20 Grau-Sánchez, Miquel
20 Martínez, Eulalia
17 Banaś, Józef
17 Parhi, Sanjaya Kumar
15 Motsa, Sandile Sydney
15 Neta, Beny
15 Rubio, María Jesús
14 Kim, Young Ik
14 Li, Yitian
13 González, Daniel
12 Khattri, Sanjay K.
12 Sicilia, Juan Antonio
11 Singh, Sukhjit
10 Geum, Young Hee
10 Kumar, Deepak
10 Noguera, Miquel
10 Plaza, Sergio
10 Sadarangani, Kishin B.
10 Salanova, M. Amparo
9 Darwish, Mohamed Abdalla
9 Hueso, José Luis
9 Kanwar, Vinay
9 Kumar, Abhimanyu
9 Li, Chong
9 Shakhno, Stepan Mykhaĭlovych
9 Sharma, Debasis
9 Szidarovszky, Ferenc P.
9 Zhao, Yueqing
8 Alshomrani, Ali Saleh
8 Anastassiou, George Angelos
8 Ferreira, Orizon Pereira
8 Kansal, Munish
8 Metwali, Mohamed M. A.
7 Cătinaş, Emil
7 Kumar, Sunil
7 Lin, Rongfei
7 Maroju, Prashanth
7 Silva, Gilson N.
6 Bi, Weihong
6 Caballero, Josefa
6 Gómez-Aguilar, José Francisco
6 Gu, Chuanqing
6 Jidesh, P.
6 Kumam, Poom
6 Kumar Khattri, Sanjay
6 Maleknejad, Khosrow
6 Orcos, Lara
6 Sarría, Ínigo
6 Uko, Livinus Ugochukwu
5 Agarwal, Ravi P.
5 Balooee, Javad
5 Bermúdez, Concepción
5 Chen, Dong
5 Chen, Jinhai
5 Cichoń, Mieczysław
5 Erappa, Shobha Monnanda
5 Escobar-Jiménez, Ricardo Fabricio
5 Gonçalves, Max L. N.
5 Sahu, Daya Ram
5 Sharma, Rajni
5 Shen, Weiping
5 Soleymani, Fazlollah
5 Vindel, Pura
4 Babajee, Diyashvir Kreetee Rajiv
4 Chen, Minhong
4 Fernández-Cara, Enrique
4 Grau, Àngela
4 Ham, YoonMee
4 Hashem, Hind H. G.
4 Huang, Zhengda
4 Madhu, Kalyanasundaram
4 Mollapourasl, Reza
4 Naseem, Amir
4 Nouri, Kazem
4 Proinov, Petko D.
4 Rashid, Mohammed Harunor
4 Rzepka, Beata
4 Shobha, Monnanda Erappa
...and 606 more Authors
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Cited in 176 Serials

197 Applied Mathematics and Computation
118 Journal of Computational and Applied Mathematics
70 Numerical Algorithms
37 Journal of Applied Mathematics and Computing
35 Journal of Mathematical Analysis and Applications
30 Applied Mathematics Letters
28 Computers & Mathematics with Applications
28 International Journal of Computer Mathematics
28 S\(\vec{\text{e}}\)MA Journal
24 Journal of Complexity
21 Numerical Functional Analysis and Optimization
20 Journal of Optimization Theory and Applications
19 International Journal of Applied and Computational Mathematics
17 Journal of Mathematical Chemistry
14 Applicationes Mathematicae
13 Mediterranean Journal of Mathematics
12 Rendiconti del Circolo Matemàtico di Palermo. Serie II
12 Abstract and Applied Analysis
12 Journal of Applied Mathematics
12 Fixed Point Theory and Applications
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 Algorithms
10 Asian-European Journal of Mathematics
9 Computational and Applied Mathematics
8 Applied Numerical Mathematics
8 Journal of Inequalities and Applications
8 International Journal of Computational Methods
6 Applicable Analysis
6 Journal of Integral Equations and Applications
6 Advances in Difference Equations
6 Optimization Letters
6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Calcolo
5 Mathematica Slovaca
5 Numerische Mathematik
5 Computational Optimization and Applications
5 Applied Mathematics. Series B (English Edition)
5 Journal of Fixed Point Theory and Applications
4 Bulletin of the Australian Mathematical Society
4 Mathematical Methods in the Applied Sciences
4 Mathematics of Computation
4 Czechoslovak Mathematical Journal
4 Zeitschrift für Analysis und ihre Anwendungen
4 Journal of the Egyptian Mathematical Society
4 Mathematical Problems in Engineering
4 Discrete Dynamics in Nature and Society
4 Symmetry
4 ISRN Applied Mathematics
4 Journal of Nonlinear Analysis and Optimization: Theory & Applications
4 Journal of Mathematics
4 Journal of Function Spaces
3 Inverse Problems
3 Rocky Mountain Journal of Mathematics
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3 International Journal of Mathematics and Mathematical Sciences
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3 Applied Mathematics E-Notes
3 Central European Journal of Mathematics
3 ANACM. Applied Numerical Analysis and Computational Mathematics
3 Analysis and Applications (Singapore)
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2 Acta Mathematica Hungarica
2 Optimization
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2 Applications of Mathematics
2 Journal of Global Optimization
2 Computational Mathematics and Mathematical Physics
2 Aequationes Mathematicae
2 European Journal of Operational Research
2 The Journal of Analysis
2 Arab Journal of Mathematical Sciences
2 Nonlinear Dynamics
2 Novi Sad Journal of Mathematics
2 Matematychni Studiï
2 Acta Mathematica Sinica. English Series
2 Nonlinear Analysis. Real World Applications
2 Computational Methods in Applied Mathematics
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 The Journal of Prime Research in Mathematics
2 International Journal of Biomathematics
2 Science China. Mathematics
2 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
2 TWMS Journal of Pure and Applied Mathematics
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Cited in 43 Fields

964 Numerical analysis (65-XX)
539 Operator theory (47-XX)
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44 Ordinary differential equations (34-XX)
25 Real functions (26-XX)
23 Partial differential equations (35-XX)
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20 Dynamical systems and ergodic theory (37-XX)
14 Functional analysis (46-XX)
10 Difference and functional equations (39-XX)
10 Systems theory; control (93-XX)
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9 Biology and other natural sciences (92-XX)
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